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KB Term:  Term intersection
English Word: 

Sigma KEE - geometricPart
geometricPart

appearance as argument number 1
-------------------------


(instance geometricPart BinaryPredicate) Merge.kif 18175-18175 geometric part is an instance of binary predicate
(instance geometricPart PartialOrderingRelation) Merge.kif 18176-18176 geometric part is an instance of partial ordering relation
(domain geometricPart 1 GeometricFigure) Merge.kif 18177-18177 The number 1 argument of geometric part is an instance of geometric figure
(domain geometricPart 2 GeometricFigure) Merge.kif 18178-18178 The number 2 argument of geometric part is an instance of geometric figure
(documentation geometricPart EnglishLanguage "(geometricPart ?PART ?WHOLE) means that the GeometricFigure ?PART is part of the GeometricFigure ?WHOLE.") Merge.kif 18179-18180 The number 2 argument of geometric part is an instance of geometric figure

appearance as argument number 2
-------------------------


(subrelation pointOfFigure geometricPart) Merge.kif 18182-18182 point of figure is a subrelation of geometric part
(subrelation angleOfFigure geometricPart) Merge.kif 18189-18189 angle of figure is a subrelation of geometric part
(subrelation faceOfFigure geometricPart) Mid-level-ontology.kif 5484-5484 face of figure is a subrelation of geometric part
(subrelation sideOfFigure geometricPart) Mid-level-ontology.kif 6072-6072 side of figure is a subrelation of geometric part
(format EnglishLanguage geometricPart "%2 is %n a geometric part of %1") domainEnglishFormat.kif 1103-1103 side of figure is a subrelation of geometric part
(format ChineseTraditionalLanguage geometricPart "%2 %n 是 %1 的 geometric 部分") domainEnglishFormat.kif 1104-1104 side of figure is a subrelation of geometric part
(format ChineseLanguage geometricPart "%2 %n 是 %1 的 geometric 部分") domainEnglishFormat.kif 1105-1105 side of figure is a subrelation of geometric part
(termFormat EnglishLanguage geometricPart "geometric part") domainEnglishFormat.kif 25826-25826 side of figure is a subrelation of geometric part
(termFormat ChineseTraditionalLanguage geometricPart "幾何部分") domainEnglishFormat.kif 25827-25827 side of figure is a subrelation of geometric part
(termFormat ChineseLanguage geometricPart "几何部分") domainEnglishFormat.kif 25828-25828 side of figure is a subrelation of geometric part

antecedent
-------------------------


(=>
    (and
        (instance ?POLYGON Polygon)
        (geometricPart ?PART ?POLYGON))
    (equal ?PART StraightLine))
Mid-level-ontology.kif 5653-5657 If X is an instance of polygon and X is a geometric part of Y, then equal Y and straight line
(=>
    (and
        (equal ?S CircleSector)
        (equal ?C Circle)
        (geometricPart ?S ?C)
        (equal ?L ClosedLineSegment)
        (sideOfFigure ?L ?S))
    (lineMeasure ?L
        (RadiusFn ?C)))
Mid-level-ontology.kif 5783-5790 If equal X and circle sector, equal Y and circle, Y is a geometric part of X, equal Z and closed line segment, and the size of X is Z, then the radius of Y is a line measure of Z
(=>
    (and
        (equal ?S CircularSegment)
        (equal ?A CircularArc)
        (geometricPart ?A ?S)
        (equal ?C ChordOfACircle)
        (geometricPart ?C ?S))
    (exists (?P1 ?P2)
        (and
            (not
                (equal ?P1 ?P2))
            (endPointsOfLine ?P1 ?P2 ?C)
            (pointOfIntersection ?A ?C ?P1)
            (pointOfIntersection ?A ?C ?P2))))
Mid-level-ontology.kif 6046-6059 If equal X and circular segment, equal Y and circular arc, X is a geometric part of Y, equal Z and chord of a circle, and X is a geometric part of Z, then All of the following hold: (1) there exist W (2) V such that equal W (3) V (4) W (5) V are endPointsOfLine of Z (6) Y is point of intersection Z for W (7) Y is point of intersection Z for V

consequent
-------------------------


(=>
    (instance ?P Polyhedron)
    (exists (?F)
        (and
            (faceOfFigure ?F ?P)
            (geometricPart ?F ?P))))
Mid-level-ontology.kif 5486-5491 If X is an instance of polyhedron, then there exists Y such that Y is the face of Figure X and X is a geometric part of Y
(=>
    (instance ?POLYGON Polygon)
    (exists (?SIDE)
        (and
            (sideOfFigure ?SIDE ?POLYGON)
            (geometricPart ?SIDE ?POLYGON))))
Mid-level-ontology.kif 5659-5664 If X is an instance of polygon, then there exists Y such that the size of X is Y and X is a geometric part of Y
(=>
    (equal ?S CircleSector)
    (exists (?C ?A)
        (and
            (equal ?C Circle)
            (geometricPart ?S ?C)
            (equal ?A CircularArc)
            (geometricPart ?A ?C)
            (sideOfFigure ?A ?S)
            (sideOfIntersection ?S ?C ?A))))
Mid-level-ontology.kif 5763-5772 If equal X and circle sector, then All of the following hold: (1) there exist Y (2) Z such that equal Y (3) circle (4) Y is a geometric part of X (5) equal Z (6) circular arc (7) Y is a geometric part of Z (8) the size of X is Z (9) Z is the intersection X (10) Y
(=>
    (equal ?A CircularArc)
    (exists (?C)
        (and
            (equal ?C Circle)
            (geometricPart ?A ?C))))
Mid-level-ontology.kif 5806-5811 If equal X and circular arc, then there exists Y such that equal Y, circle, and Y is a geometric part of X
(=>
    (and
        (equal ?A CircularArc)
        (pointOfFigure ?P ?A))
    (exists (?C ?P2)
        (and
            (geometricPart ?A ?C)
            (equal ?C Circle)
            (pointOfFigure ?P2 ?C)
            (equal ?P ?P2))))
Mid-level-ontology.kif 5815-5824 If equal X and circular arc and Y is a vertex of X, then All of the following hold: (1) there exist Z (2) W such that Z is a geometric part of X (3) equal Z (4) circle (5) W is a vertex of Z (6) equal Y (7) W
(=>
    (and
        (arcLength ?SEMI
            (MeasureFn ?L ?U))
        (equal ?SEMI SemicircularArc))
    (exists (?CIR ?C)
        (and
            (equal ?CIR Circle)
            (geometricPart ?SEMI ?CIR)
            (circumference ?CIR
                (MeasureFn ?C ?U))
            (equal ?C
                (AdditionFn ?L ?L)))))
Mid-level-ontology.kif 5857-5867 If X Y(s) is the LengthMeasure of Z and equal Z and semicircular arc, then there exist W and V such that equal W and circle and W is a geometric part of Z and circumference W and V Y(s) and equal V and (X and X)
(=>
    (instance ?A CentralAngle)
    (exists (?L ?L2 ?C ?R)
        (and
            (equal ?L ClosedLineSegment)
            (sideOfFigure ?L ?A)
            (equal ?L2 ClosedLineSegment)
            (sideOfFigure ?L2 ?A)
            (equal ?C Circle)
            (geometricPart ?A ?C)
            (pointOfIntersection ?L ?L2
                (CenterOfCircleFn ?C))
            (lineMeasure ?L ?R)
            (lineMeasure ?L2 ?R)
            (radius ?C ?R))))
Mid-level-ontology.kif 5894-5908 If X is an instance of central angle, then All of the following hold: (1) there exist Y, Z,, , W (2) V such that equal Y (3) closed line segment (4) the size of X is Y (5) equal Z (6) closed line segment (7) the size of X is Z (8) equal W (9) circle (10) W is a geometric part of X (11) Y is point of intersection Z for the center of circle of W (12) V is a line measure of Y (13) V is a line measure of Z (14) the radius of W is V
(=>
    (and
        (equal ?S SecantLine)
        (pointOfFigure ?P1 ?S)
        (pointOfFigure ?P2 ?S)
        (not
            (equal ?P1 ?P2))
        (equal ?C Circle)
        (pointOfFigure ?P1 ?C)
        (pointOfFigure ?P2 ?C))
    (exists (?CHORD)
        (and
            (equal ?CHORD ChordOfACircle)
            (endPointsOfLine ?P1 ?P2 ?CHORD)
            (geometricPart ?CHORD ?S))))
Mid-level-ontology.kif 6024-6038 If All of the following hold: (1) equal X and secant line (2) Y is a vertex of X (3) Z is a vertex of X (4) equal Y and Z (5) equal W and circle (6) Y is a vertex of W (7) Z is a vertex of W, then there exists V such that equal V, chord of a circle, Y, Z are endPointsOfLine of V, and X is a geometric part of V


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