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<!DOCTYPE rdf:RDF [
     <!ENTITY ocyc "http://sw.opencyc.org/concept/" >
     <!ENTITY cyc  "http://sw.cyc.com/concept/" >
     <!ENTITY rdf  "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
     <!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
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     <!ENTITY owl  "http://www.w3.org/2002/07/owl#" >
   ]>

<rdf:RDF xml:base="http://sw.opencyc.org/2008/06/10/concept/"
         xmlns="http://sw.opencyc.org/2008/06/10/concept/"
         xmlns:cycAnnot="http://sw.cyc.com/CycAnnotations_v1#"
         xmlns:rdf="&rdf;"
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         xmlns:xsd="&xsd;">

  <owl:Ontology rdf:about="http://sw.opencyc.org/2008/06/10/concept/">
    <owl:versionInfo>2008/06/10</owl:versionInfo>
    <rdfs:comment xml:lang="en">

      OpenCyc Knowledge Base

      Copyright© 2001-2008 Cycorp, Inc., http://www.cyc.com/, Austin, TX, USA

      This file contains an OWL representation of information contained 
      in the OpenCyc Knowledge Base. The content of this OWL file is 
      licensed under the Creative Commons Attribution 3.0 license whose 
      text can be found at http://creativecommons.org/licenses/by/3.0/legalcode. 
      The content of this OWL file, including the OpenCyc content it represents, 
      constitutes the "Work" referred to in the Creative Commons license. The terms of 
      this license equally apply to, without limitation, renamings and other 
      logically equivalent reformulations of the content of this OWL file 
      (or portions thereof) in any natural or formal language, as well 
      as to derivations of this content or inclusion of it in other ontologies.

    </rdfs:comment>
  </owl:Ontology>

  <owl:AnnotationProperty rdf:about="http://sw.cyc.com/CycAnnotations_v1#externalID">
    <rdfs:label xml:lang="en">externalID</rdfs:label>
    <rdfs:comment xml:lang="en">
      A unique, language-neutral, variable-sized identifier
      for a concept that can be used to refer unambiguously to that concept across 
      OWL exports or across Cyc inference engines.
    </rdfs:comment>
    <rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
  </owl:AnnotationProperty>

  <owl:AnnotationProperty rdf:about="http://sw.cyc.com/CycAnnotations_v1#label">
    <rdfs:label xml:lang="en">label</rdfs:label>
    <rdfs:comment xml:lang="en">
      A natural-language representation for a concept that is both human 
      readable and readable by the Cyc inference engine. These terms are not 
      guaranteed to refer to the same concept across time but are guaranteed to
      be consistent within a particular OWL export. Use 'cycAnnot:externalID'
      for unambiguously referring to a concept across OWL exports or across Cyc
      inference engines.
    </rdfs:comment>
  </owl:AnnotationProperty>

  <owl:Class rdf:about="Mx4r5_JXhGJsQdiK3LiqzwlKiw">
    <rdfs:label xml:lang="en">direction and orientation vocabulary spatial topic</rdfs:label>
    <cycAnnot:label xml:lang="en">DirectionAndOrientationVocabulary-Spatial-Topic</cycAnnot:label>
    <rdfs:subClassOf rdf:resource="Mx4rxrgL1mJsQdiVJa3gLrEc2A"/>
    <rdf:type rdf:resource="Mx4rAmoSCGJbQdiSXZJvYiNhkQ"/>
    <rdf:type rdf:resource="Mx4rtGXkHpNaEdqAAAACs0uFOQ"/>
    <owl:sameAs rdf:resource="&ocyc;Mx4r5_JXhGJsQdiK3LiqzwlKiw"/>
    <owl:sameAs rdf:resource="&cyc;Mx4r5_JXhGJsQdiK3LiqzwlKiw"/>
  </owl:Class>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwPusbZwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">RightSideUp</cycAnnot:label>
    <rdfs:label xml:lang="en">right side up</rdfs:label>
    <rdfs:comment xml:lang="en">An &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt; (q.v.).  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPusbZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RightSideUp&lt;/a&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt;&apos;s intrinsic top side (e.g. the top of a person&apos;s head) is directly above its intrinsic bottom side (e.g. the bottoms of their feet).  To have this orientation, &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; must be a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvmLypJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TopAndBottomSidedObject&lt;/a&gt; (q.v.).
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPusQ5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UpsideDown&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVizApwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">facesDirection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A binary predicate that relates a tangible object to the direction in which it&apos;s facing.  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVizApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;facesDirection&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;b&gt;DIR&lt;/b&gt;)&lt;/code&gt; means that the vector (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjrDJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVectorInterval&lt;/a&gt;) that is parallel to &lt;code&gt;&lt;b&gt;OBJ&lt;/b&gt;&lt;/code&gt;&apos;s front-back axis, and which is directed as from back to front, is &lt;code&gt;&lt;b&gt;DIR&lt;/b&gt;&lt;/code&gt;.
&lt;p/&gt;
Note that an object has a front-back axis only if it has intrinsic front and back sides by virtue of its design or function (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvdSKVJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrontAndBackSidedObject&lt;/a&gt;).  For example, trains, cars, and bullets have intrinsic front faces by virtue of the direction in which they are intended to travel.  Other objects, such as refrigerators, bookshelves against walls, and televisions, have front faces by virtue of how people usually view the object.  Spheres, being symmetric, do not have front-back axes.
&lt;p/&gt;
See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi5-5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;direction_Pointing&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViN5ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientationToObject&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">Faces Direction</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViJbJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">Opposite Direction Interval</rdfs:label>
    <rdfs:comment xml:lang="en">A symmetric binary predicate and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv6zeT5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;disjointDirections&lt;/a&gt;.  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJbJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Interval&lt;/a&gt; &lt;b&gt;COMING&lt;/b&gt; &lt;b&gt;GOING&lt;/b&gt;)&lt;/code&gt; means that the vectors &lt;code&gt;&lt;b&gt;COMING&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;GOING&lt;/b&gt;&lt;/code&gt; (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjrDJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVectorInterval&lt;/a&gt;) point in opposite directions.  That is, (i) the respective midpoints of &lt;code&gt;&lt;b&gt;COMING&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;GOING&lt;/b&gt;&lt;/code&gt; are separated by 180 degrees and (ii) &lt;code&gt;&lt;b&gt;COMING&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;GOING&lt;/b&gt;&lt;/code&gt; are of equal breadth (as measured by the absolute value of the number of degrees difference between their greatest and least points).  For example,
&lt;pre&gt;
  (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJbJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Interval&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViHdpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Generally&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViHt5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;South_Generally&lt;/a&gt;)
  (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJbJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Interval&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvpx09ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;DorsalDirection&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv3z6ApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VentralDirection&lt;/a&gt;) .
&lt;/pre&gt;
For stating precise opposite direction see the specialization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjHJpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Precise&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">oppositeDirection-Interval</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rj_CHqhNFEdqAAAACs0uFOQ">
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ry6Wvvu0OQdeVK-7FGgEXXQ&quot; class=&quot;cyc_term&quot;&gt;TerrestrialNonGeographicDirection&lt;/a&gt;.  With respect to a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rj_CHqhNFEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;Horizontal_Generally&lt;/a&gt; comprises the disc-shaped interval of vectors pointing from the reference point and perpendicular to any &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi6upwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalDirection&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">Horizontal-Generally</rdfs:label>
    <cycAnnot:label xml:lang="en">Horizontal-Generally</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViKrZwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">due northwest</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViKrZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Northwest_Directly&lt;/a&gt; is directly Northwest (from a given point of reference).</rdfs:comment>
    <cycAnnot:label xml:lang="en">Northwest-Directly</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVi8F5wpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi8F5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialPredicate&lt;/a&gt; is a spatial relation that can (only) hold between one or more &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjpUZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialThing&lt;/a&gt;s, and is used to state something about its/their spatial location(s), position(s), orientation(s), size(s), or dimensionality.  
&lt;p/&gt;
Note that when a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi8F5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialPredicate&lt;/a&gt; has a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjmoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Group&lt;/a&gt; as one of its arguments, a certain spatial relationship is usually being asserted to hold of all or most of the members of that group; but there are exceptions (e.g. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPuwZJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;in_Among&lt;/a&gt;) for which this is not the case.</rdfs:comment>
    <cycAnnot:label xml:lang="en">SpatialPredicate</cycAnnot:label>
    <rdfs:label xml:lang="en">spatial relation</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViklpwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">down</rdfs:label>
    <cycAnnot:label xml:lang="en">Down-Generally</cycAnnot:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ry6Wvvu0OQdeVK-7FGgEXXQ&quot; class=&quot;cyc_term&quot;&gt;TerrestrialNonGeographicDirection&lt;/a&gt; (q.v.).  With respect to a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViklpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Generally&lt;/a&gt; is the &amp;quot;cone-shaped&amp;quot; vector interval that subsumes any precise vector (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsmJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVector_Precise&lt;/a&gt;) that points within forty-five degrees of where &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJ65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Directly&lt;/a&gt; points.  See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVik1pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Generally&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViK55wpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViK55wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Southwest_Directly&lt;/a&gt; is directly Southwest (from a given point of reference).</rdfs:comment>
    <rdfs:label xml:lang="en">due southwest</rdfs:label>
    <cycAnnot:label xml:lang="en">Southwest-Directly</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVjxJJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">due east</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxJJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;East_Directly&lt;/a&gt; is due East (from a given point of reference).</rdfs:comment>
    <cycAnnot:label xml:lang="en">East-Directly</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVjHJpwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">Opposite Direction Precise</rdfs:label>
    <cycAnnot:label xml:lang="en">oppositeDirection-Precise</cycAnnot:label>
    <rdfs:comment xml:lang="en">A symmetric binary predicate and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJbJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Interval&lt;/a&gt; (q.v.).  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjHJpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Precise&lt;/a&gt; &lt;b&gt;COMING&lt;/b&gt; &lt;b&gt;GOING&lt;/b&gt;)&lt;/code&gt; means that the precise vectors &lt;code&gt;&lt;b&gt;COMING&lt;/b&gt;&lt;/code&gt; and &lt;code&gt;&lt;b&gt;GOING&lt;/b&gt;&lt;/code&gt; (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsmJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVector_Precise&lt;/a&gt;) point in respective directions that are 180 degrees apart.  For example,
&lt;pre&gt;
  (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjHJpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Precise&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj7ApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Directly&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjd4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;South_Directly&lt;/a&gt;)
  (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjHJpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;oppositeDirection_Precise&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJqZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Directly&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJ65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Directly&lt;/a&gt;) .</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVjb25wpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViKYpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TerrestrialDirection&lt;/a&gt; 
(q.v.).  The &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjb25wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection&lt;/a&gt;s derive from the &amp;quot;intrinsic&amp;quot; directional 
axes of a terrestrial frame of reference: North-South and East-West.  Like all 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsEpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VectorInterval&lt;/a&gt;s, geographical directions can be specified precisely (e.g. 
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj7ApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Directly&lt;/a&gt;) or as proper intervals (e.g. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViHdpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Generally&lt;/a&gt;); see the specializations &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">GeographicalDirection</cycAnnot:label>
    <rdfs:label xml:lang="en">direction</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwPus-JwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">HorizontalOrientation</cycAnnot:label>
    <rdfs:label xml:lang="en">horizontal</rdfs:label>
    <rdfs:comment xml:lang="en">An &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt; (q.v.).  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPus-JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;HorizontalOrientation&lt;/a&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; is horizontal with respect to the current &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjUoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrameOfReference&lt;/a&gt;.  A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rh5fAaHS7EdaAAACgyZzFrg&quot; class=&quot;cyc_term&quot;&gt;LongThinObject&lt;/a&gt; is horizontal if and only if its longest axis lies in the horizontal plane.  A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjG1pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SheetShapedObject&lt;/a&gt; is horizontal if and only if its two longest axes lie in the horizontal plane.  Typical horizontal objects include dinner plates, mousepads, ice-skating rinks, parking lots, and stratus clouds.
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPutC5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalOrientation&lt;/a&gt;.  See also the direction vector &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rj_CHqhNFEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;Horizontal_Generally&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwJD_LZwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">Northwest</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwJD_LZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Northwest_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViKrZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Northwest_Directly&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">Northwest-Generally</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVj7ApwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">due north</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj7ApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Directly&lt;/a&gt; is due North (from a given point of reference).</rdfs:comment>
    <cycAnnot:label xml:lang="en">North-Directly</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViKKZwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViKKZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Southeast_Directly&lt;/a&gt; is directly Southeast (from a given point of reference).</rdfs:comment>
    <rdfs:label xml:lang="en">due southeast</rdfs:label>
    <cycAnnot:label xml:lang="en">Southeast-Directly</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVi5-5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">direction-Pointing</cycAnnot:label>
    <rdfs:label xml:lang="en">Direction-Pointing</rdfs:label>
    <rdfs:comment xml:lang="en">A binary predicate that relates a spatial thing to the direction in which it&apos;s pointing.  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi5-5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;direction_Pointing&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;b&gt;DIR&lt;/b&gt;)&lt;/code&gt; means that the intrinsic pointing axis of &lt;code&gt;&lt;b&gt;OBJ&lt;/b&gt;&lt;/code&gt; points in the direction &lt;code&gt;&lt;b&gt;DIR&lt;/b&gt;&lt;/code&gt; (represented as a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjrDJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVectorInterval&lt;/a&gt;).  
&lt;p/&gt;
Pointing axes may be ascribed to certain objects, especially in relation to their functions or uses; e.g. to indicate direction (as with a pointer stick or a compass needle), to cause motion in a certain direction (as with a gun or a train), or to be accessed from a certain direction (as with a cupboard or a couch).
&lt;p/&gt;
Some objects, like the train and the cupboard, point in the same direction that they face (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVizApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;facesDirection&lt;/a&gt;).  Other objects, such as a tower, point and face in different directions.  Still other objects, such as a sewing needle, point in a certain direction but don&apos;t face in any direction at all.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVjd4pwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">South-Directly</cycAnnot:label>
    <rdfs:label xml:lang="en">due south</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).
&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjd4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;South_Directly&lt;/a&gt; is due South (from a given point of reference).</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViHdpwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">North</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViHdpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVj7ApwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;North_Directly&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">North-Generally</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rxexevPiVEdmAAAACs0uFOQ">
    <rdfs:label xml:lang="en">Bilateral Axes</rdfs:label>
    <rdfs:comment xml:lang="en">A binary &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwMfM5ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RelativeLocationalPredicate&lt;/a&gt; that relates a tangible object with at least one well-defined pair of opposing sides (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwAiFbpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BilateralObject&lt;/a&gt;) to an axis it has with respect to some such pair of sides.  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rxexevPiVEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;bilateralAxes&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;b&gt;AXIS&lt;/b&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;AXIS&lt;/b&gt;&lt;/code&gt; is a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjC4JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; that passes through the respective centers (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r5xZMducnEdmAAAACs6hO_g&quot; class=&quot;cyc_term&quot;&gt;centroidOfObject&lt;/a&gt;) of each of two opposing sides (i.e. the front-back, left-right, or top-bottom sides) of &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt;.
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r4BM6CvVqEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;symmetricAxes&lt;/a&gt;.  Note that a bilateral axis of an object might or might not also be a symmetric axis of it.  For example, the left-right axis of a bicycle wheel is also an axis of symmetry of the wheel, but the top-bottom axis of a frying pan is not an axis of symmetry.
&lt;p/&gt;
See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwKKmw5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;objectSides&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaopwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BilateralAxisFn&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">bilateralAxes</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwPusQ5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">UpsideDown</cycAnnot:label>
    <rdfs:label xml:lang="en">upside-down</rdfs:label>
    <rdfs:comment xml:lang="en">An &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt; (q.v.).  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPusQ5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UpsideDown&lt;/a&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt;&apos;s intrinsic top side (e.g. the top of a person&apos;s head) is directly &lt;i&gt;below&lt;/i&gt; its intrinsic bottom side (e.g. the bottoms of their feet).  To have this orientation, &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; must be a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvmLypJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TopAndBottomSidedObject&lt;/a&gt; (q.v.).
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPusbZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RightSideUp&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViNc5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Northeast-Directly</cycAnnot:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViNc5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Northeast_Directly&lt;/a&gt; is directly Northeast (from a given point of reference).</rdfs:comment>
    <rdfs:label xml:lang="en">due northeast</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVjUoJwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv0YfN5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;MathematicalObject&lt;/a&gt;.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjUoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrameOfReference&lt;/a&gt; is a mathematical (and hence intangible) representation of the context in which certain data are to be interpreted.  Such contexts are typically physical, but may be purely mathematical.  For example, a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIU_XZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CartesianCoordinateSystem&lt;/a&gt; can be used to represent the positions of things on the surface of the Eath, but can also be used to represent an abstract gepometric space.</rdfs:comment>
    <cycAnnot:label xml:lang="en">FrameOfReference</cycAnnot:label>
    <rdfs:label xml:lang="en">frame of reference</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rveRTspwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rveRTspwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Southeast_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViKKZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Southeast_Directly&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">Southeast-Generally</cycAnnot:label>
    <rdfs:label xml:lang="en">Southeast</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVilF5wpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">West</rdfs:label>
    <cycAnnot:label xml:lang="en">West-Generally</cycAnnot:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVilF5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;West_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxZZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;West_Directly&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVkF7ZwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">TerrestrialFrameOfReference</cycAnnot:label>
    <rdfs:comment xml:lang="en">The terrestrial frame of reference is the unique individual &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjUoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrameOfReference&lt;/a&gt; that generally regards the surface of the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkL_pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;PlanetEarth&lt;/a&gt; as fixed in the background space.  It permits fixed notions of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPutC5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalOrientation&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPus-JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;HorizontalOrientation&lt;/a&gt;.  There are multiple standard coordinate systems based on the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkF7ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TerrestrialFrameOfReference&lt;/a&gt;, including &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjw3ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;latitude&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjwmpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;longitude&lt;/a&gt;, Earth-Centered Cartesian, and others.  Various local frames of reference and coordinate systems assume the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkF7ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TerrestrialFrameOfReference&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">terrestrial frame of reference</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rui4k2m26EdqAAAACs2IKaQ">
    <cycAnnot:label xml:lang="en">SpatialCotemporalPredicate</cycAnnot:label>
    <rdfs:comment xml:lang="en">The collection of instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi8F5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialPredicate&lt;/a&gt;s that are also instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVmBt5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CotemporalPredicate&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">spatial cotemporal predicate</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVi6upwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">vertical</rdfs:label>
    <cycAnnot:label xml:lang="en">VerticalDirection</cycAnnot:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rIbjReMgcQdeaWcn7RO2VIg&quot; class=&quot;cyc_term&quot;&gt;VectorIntervalType&lt;/a&gt; and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ry6Wvvu0OQdeVK-7FGgEXXQ&quot; class=&quot;cyc_term&quot;&gt;TerrestrialNonGeographicDirection&lt;/a&gt;.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi6upwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalDirection&lt;/a&gt; is defined to be the collection of all vectors that are parallel to &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJqZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Directly&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJ65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Directly&lt;/a&gt;.  Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rj_CHqhNFEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;Horizontal_Generally&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViHt5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">South-Generally</cycAnnot:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViHt5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;South_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjd4pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;South_Directly&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">South</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViJ65wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Down-Directly</cycAnnot:label>
    <rdfs:label xml:lang="en">straight down</rdfs:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ry6Wvvu0OQdeVK-7FGgEXXQ&quot; class=&quot;cyc_term&quot;&gt;TerrestrialNonGeographicDirection&lt;/a&gt; (q.v.) and a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsmJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVector_Precise&lt;/a&gt; corresponding to the direction &amp;quot;straight down&amp;quot;.  In the terrestrial context, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJ65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Directly&lt;/a&gt; points in the same direction as Earth&apos;s gravitational force vector.  See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViklpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Generally&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJqZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Directly&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwPurmZwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">A binary predicate that is used for stating the general orientation (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt;) of a tangible object.  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;b&gt;ORIENT&lt;/b&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; is oriented in the way described by &lt;code&gt;&lt;b&gt;ORIENT&lt;/b&gt;&lt;/code&gt;.  Examples: &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPusbZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RightSideUp&lt;/a&gt;)&lt;/code&gt; and &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPutC5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalOrientation&lt;/a&gt;)&lt;/code&gt;.
&lt;p/&gt;
An &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; statement must of course be always interpreted with respect to some &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjUoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrameOfReference&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">orientation</cycAnnot:label>
    <rdfs:label xml:lang="en">orientation</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVkKNpwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">upAxisPoints</cycAnnot:label>
    <rdfs:label xml:lang="en">Up Axis Points</rdfs:label>
    <rdfs:comment xml:lang="en">A binary &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi8F5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SpatialPredicate&lt;/a&gt; that is used to describe a tangible object&apos;s general orientation.  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkKNpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;upAxisPoints&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;b&gt;DIR&lt;/b&gt;)&lt;/code&gt; means &lt;code&gt;&lt;b&gt;OBJ&lt;/b&gt;&lt;/code&gt;&apos;s intrinsic top-bottom axis -- i.e. (&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjaopwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BilateralAxisFn&lt;/a&gt; &lt;code&gt;&lt;b&gt;OBJ&lt;/b&gt;&lt;/code&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjEpZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TopSide&lt;/a&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjWc5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BottomSide&lt;/a&gt;) -- when considered &amp;quot;from bottom to top&amp;quot;, points in the direction &lt;code&gt;&lt;b&gt;DIR&lt;/b&gt;&lt;/code&gt;.  
&lt;p/&gt;
Objects that have intrinsic top-bottom axes (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvmLypJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TopAndBottomSidedObject&lt;/a&gt;) do so by virtue of their design or function.  Examples include people, rockets, cars, and cups.  Conversely, a sphere has no intrinsic top or bottom, due to its symmetry.  
&lt;p/&gt;
Note that &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkKNpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;upAxisPoints&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJqZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Directly&lt;/a&gt;)&lt;/code&gt; holds only when  &lt;code&gt;&lt;b&gt;OBJ&lt;/b&gt;&lt;/code&gt; is perfectly right-side-up.  If &lt;code&gt;&lt;b&gt;OBJ&lt;/b&gt;&lt;/code&gt; is on its side, &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkKNpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;upAxisPoints&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rj_CHqhNFEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;Horizontal_Generally&lt;/a&gt;)&lt;/code&gt; holds.  If OBJ is upside-down, &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkKNpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;upAxisPoints&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViklpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Generally&lt;/a&gt;)&lt;/code&gt; holds, and &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkKNpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;upAxisPoints&lt;/a&gt; &lt;b&gt;OBJ&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJ65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Directly&lt;/a&gt;)&lt;/code&gt; might hold as well.
&lt;p/&gt;
See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4r4BM6CvVqEdmAAAACs0uFOQ">
    <cycAnnot:label xml:lang="en">symmetricAxes</cycAnnot:label>
    <rdfs:label xml:lang="en">Symmetric Axes</rdfs:label>
    <rdfs:comment xml:lang="en">A binary predicate that relates a (tangible or intangible) spatial thing to an axis of symmetry (if it has any).  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r4BM6CvVqEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;symmetricAxes&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;b&gt;AXIS&lt;/b&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;AXIS&lt;/b&gt;&lt;/code&gt; is an &lt;i&gt;axis of symmetry&lt;/i&gt; of &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt;: a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjC4JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; with respect to which &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; is either bilaterally or radially symmetric (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ro5wCxPfVEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;AxisymmetricObject&lt;/a&gt;).
&lt;p/&gt;
For example, any straight line that passes through the center of a given &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvgDAn5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Sphere&lt;/a&gt; is an axis of symmetry of the sphere.  The axle of a bicycle wheel spatially subsumes a segment of the wheel&apos;s (radial) axis of symmetry.
&lt;p/&gt;
For a broader notion of axis, which includes the partly conventionally-determined &amp;quot;axes&amp;quot; of certain non-symmetric objects, see the generalization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r-y7_GvfZEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;objectAxes&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwPurYJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">orientation</rdfs:label>
    <cycAnnot:label xml:lang="en">OrientationVector</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViVHZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;PositionVector&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt; is the collection of vectors that characterize an object&apos;s orientation relative to a given &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjUoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrameOfReference&lt;/a&gt; (q.v.).  In most contexts, orientation is taken with respect to the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVkF7ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TerrestrialFrameOfReference&lt;/a&gt; (q.v.)
&lt;p/&gt;
Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPusbZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RightSideUp&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPus-JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;HorizontalOrientation&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVilWJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">East</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVilWJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;East_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxJJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;East_Directly&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">East-Generally</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwPutC5wpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">VerticalOrientation</cycAnnot:label>
    <rdfs:label xml:lang="en">vertical</rdfs:label>
    <rdfs:comment xml:lang="en">An &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurYJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;OrientationVector&lt;/a&gt; (q.v.).  &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPurmZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;orientation&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPutC5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalOrientation&lt;/a&gt;)&lt;/code&gt; means that &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; is vertical with respect to the current &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjUoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FrameOfReference&lt;/a&gt;.  A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rh5fAaHS7EdaAAACgyZzFrg&quot; class=&quot;cyc_term&quot;&gt;LongThinObject&lt;/a&gt; is vertical if and only if its longest axis is perpendicular to the horizontal plane.  A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjG1pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;SheetShapedObject&lt;/a&gt; is vertical if and only if its two longest axes are both perpendicular to the horizontal plane.  Typical vertical objects include towers, trees, telephone poles, and skyscapers.
&lt;p/&gt;
Cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwPus-JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;HorizontalOrientation&lt;/a&gt;.  See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVi6upwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;VerticalDirection&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVjxZZwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwDZu05wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_Direct&lt;/a&gt; (q.v.).  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjxZZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;West_Directly&lt;/a&gt; is due West (from a given point of reference).</rdfs:comment>
    <cycAnnot:label xml:lang="en">West-Directly</cycAnnot:label>
    <rdfs:label xml:lang="en">due west</rdfs:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViJqZwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Up-Directly</cycAnnot:label>
    <rdfs:label xml:lang="en">straight up</rdfs:label>
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ry6Wvvu0OQdeVK-7FGgEXXQ&quot; class=&quot;cyc_term&quot;&gt;TerrestrialNonGeographicDirection&lt;/a&gt; (q.v.) and a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsmJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVector_Precise&lt;/a&gt; corresponding to the direction &amp;quot;straight up&amp;quot;.  In the terrestrial context, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJqZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Directly&lt;/a&gt; points in the exactly opposite direction to Earth&apos;s gravitational force vector.  See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVik1pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Generally&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJ65wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Directly&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvVik1pwpEbGdrcN5Y29ycA">
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4ry6Wvvu0OQdeVK-7FGgEXXQ&quot; class=&quot;cyc_term&quot;&gt;TerrestrialNonGeographicDirection&lt;/a&gt; (q.v.).  With respect to a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVik1pwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Generally&lt;/a&gt; is the &amp;quot;cone-shaped&amp;quot; vector interval that subsumes any precise vector (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjsmJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;UnitVector_Precise&lt;/a&gt;) that points within forty-five degrees of where &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViJqZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Up_Directly&lt;/a&gt; points.  See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViklpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Down_Generally&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">up</rdfs:label>
    <cycAnnot:label xml:lang="en">Up-Generally</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rwQfKUJwpEbGdrcN5Y29ycA">
    <rdfs:label xml:lang="en">Northeast</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwQfKUJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Northeast_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViNc5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Northeast_Directly&lt;/a&gt;.</rdfs:comment>
    <cycAnnot:label xml:lang="en">Northeast-Generally</cycAnnot:label>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvViKYpwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">TerrestrialDirection</cycAnnot:label>
    <rdfs:label xml:lang="en">terrestrial direction</rdfs:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjf85wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Direction&lt;/a&gt; (q.v.).  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViKYpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TerrestrialDirection&lt;/a&gt; is a direction that characterizes the orientation of objects on or near the surface of the Earth.  An important specialization is &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjb25wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection&lt;/a&gt; (q.v.).</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4r-y7_GvfZEdmAAAACs0uFOQ">
    <cycAnnot:label xml:lang="en">objectAxes</cycAnnot:label>
    <rdfs:label xml:lang="en">Object Axes</rdfs:label>
    <rdfs:comment xml:lang="en">A binary &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwMfM5ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;RelativeLocationalPredicate&lt;/a&gt; that relates a (tangible or intangible) spatial thing to an intrinsic axis (if it has any).  By an &amp;quot;intrinsic&amp;quot; here we mean an axis an object has either purely in virtue of its geometric shape or in virtue of some natural or conventional feature it has regarding its directional orientation.  More precisely, &lt;code&gt;(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r-y7_GvfZEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;objectAxes&lt;/a&gt; &lt;b&gt;OBJECT&lt;/b&gt; &lt;b&gt;AXIS&lt;/b&gt;)&lt;/code&gt; means that either (i) &lt;code&gt;&lt;b&gt;AXIS&lt;/b&gt;&lt;/code&gt; is an &lt;i&gt;axis of symmetry&lt;/i&gt; of &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; (see the specialization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r4BM6CvVqEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;symmetricAxes&lt;/a&gt;) or (ii) &lt;code&gt;&lt;b&gt;OBJECT&lt;/b&gt;&lt;/code&gt; is an &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwAiFbpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;BilateralObject&lt;/a&gt; (q.v.) and &lt;code&gt;&lt;b&gt;AXIS&lt;/b&gt;&lt;/code&gt; passes through the centers (see &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r5xZMducnEdmAAAACs6hO_g&quot; class=&quot;cyc_term&quot;&gt;centroidOfObject&lt;/a&gt;) of two if its opposing sides (see the specialization &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rxexevPiVEdmAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;bilateralAxes&lt;/a&gt;).</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <Mx4r5_JXhGJsQdiK3LiqzwlKiw rdf:about="Mx4rvo1u2ZwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Southwest-Generally</cycAnnot:label>
    <rdfs:label xml:lang="en">Southwest</rdfs:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwNh8jpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;GeographicalDirection_General&lt;/a&gt; (q.v.).  From a given reference point, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvo1u2ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Southwest_Generally&lt;/a&gt; comprises the wedge-shaped set of vectors that point within 22.5 degrees (in either horizontal direction) of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViK55wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Southwest_Directly&lt;/a&gt;.</rdfs:comment>
  </Mx4r5_JXhGJsQdiK3LiqzwlKiw>

  <owl:Class rdf:about="Mx4rtGXkHpNaEdqAAAACs0uFOQ">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rwIE23ZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;TimeDependentCollection&lt;/a&gt; (q.v.).  This is the collection of all and only those collections &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; such that any thing&apos;s being an instance of &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; depends on the current state of the &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjqoZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CycKB&lt;/a&gt;.  Such a &lt;code&gt;&lt;b&gt;COL&lt;/b&gt;&lt;/code&gt; corresponds to a property defined (at least partly) in terms of the contents, features, or implementation of the Cyc Knowledge Base itself, as opposed to a property that &amp;quot;exists out there&amp;quot; in the KB-independent world.  
&lt;p/&gt;
For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvV281JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CycLAssertion&lt;/a&gt; is a KB-dependent collection, membership in which requires of a given CycL sentence that it has in fact been asserted to the KB.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViAoJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CycLSentence&lt;/a&gt; is also KB-dependent, as being a CycL sentence requires being composed (ultimately) out of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvu6KTZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;CycLReifiedDenotationalTerm&lt;/a&gt;s (and perhaps variables) -- i.e. terms that are currently reified in the KB.  Conversely, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv5ddsJwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Sentence&lt;/a&gt; is &lt;i&gt;not&lt;/i&gt; a KB-dependent collection.
&lt;p/&gt;
See also &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvip9N5wpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;KBDependentRelation&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">KB dependent collection</rdfs:label>
    <cycAnnot:label xml:lang="en">KBDependentCollection</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="Mx4rxrgL1mJsQdiVJa3gLrEc2A">
    <rdfs:comment xml:lang="en">A &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4r2SZdtGMBQdiOl-Ui2UGs_g&quot; class=&quot;cyc_term&quot;&gt;CycVocabularyTopLevelTopic&lt;/a&gt; and a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rtGXkHpNaEdqAAAACs0uFOQ&quot; class=&quot;cyc_term&quot;&gt;KBDependentCollection&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">spatial-topic</rdfs:label>
    <cycAnnot:label xml:lang="en">Spatial-Topic</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="Mx4rAmoSCGJbQdiSXZJvYiNhkQ">
    <cycAnnot:label xml:lang="en">CycVocabularyTopic</cycAnnot:label>
    <rdfs:comment xml:lang="en">An instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvprlOZwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;FacetingCollectionType&lt;/a&gt; and a specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rgQsP1F2xEdif1wACs2IMlQ&quot; class=&quot;cyc_term&quot;&gt;Topic&lt;/a&gt;.  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rAmoSCGJbQdiSXZJvYiNhkQ&quot; class=&quot;cyc_term&quot;&gt;CycVocabularyTopic&lt;/a&gt; is a collection of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;s falling under a topic for which some Cyc Vocabulary exists.  &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rgQsP1F2xEdif1wACs2IMlQ&quot; class=&quot;cyc_term&quot;&gt;Topic&lt;/a&gt; is neither a strict [&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvcZ1FpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;facets_Strict&lt;/a&gt;] nor a covering [&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rv86JWpwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;facets_Covering&lt;/a&gt;] faceting of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;: many &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rvViA9JwpEbGdrcN5Y29ycA&quot; class=&quot;cyc_term&quot;&gt;Thing&lt;/a&gt;s may be instances of no &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rgQsP1F2xEdif1wACs2IMlQ&quot; class=&quot;cyc_term&quot;&gt;Topic&lt;/a&gt;, or of multiple &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/Mx4rgQsP1F2xEdif1wACs2IMlQ&quot; class=&quot;cyc_term&quot;&gt;Topic&lt;/a&gt;s.</rdfs:comment>
    <rdfs:label xml:lang="en">cyc vocabulary topic</rdfs:label>
  </owl:Class>

  <owl:Class rdf:about="&ocyc;Mx4r5_JXhGJsQdiK3LiqzwlKiw">
    <rdfs:label xml:lang="en">direction and orientation vocabulary spatial topic</rdfs:label>
    <cycAnnot:label xml:lang="en">DirectionAndOrientationVocabulary-Spatial-Topic</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="&cyc;Mx4r5_JXhGJsQdiK3LiqzwlKiw">
    <rdfs:label xml:lang="en">direction and orientation vocabulary spatial topic</rdfs:label>
    <cycAnnot:label xml:lang="en">DirectionAndOrientationVocabulary-Spatial-Topic</cycAnnot:label>
  </owl:Class>

</rdf:RDF>
