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KB Term:  Term intersection
English Word: 

Sigma KEE - sideOfIntersection
sideOfIntersection

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


(instance sideOfIntersection TernaryPredicate) Mid-level-ontology.kif 5493-5493 side of intersection is an instance of ternary predicate
(relatedInternalConcept sideOfIntersection pointOfIntersection) Mid-level-ontology.kif 5494-5494 side of intersection is internally related to point of intersection
(documentation sideOfIntersection EnglishLanguage "(sideOfIntersection ?FIGURE1 ?FIGURE2 ?SIDE) means that the two figures ?FIGURE1 ?FIGURE2 meet at the side ?SIDE.") Mid-level-ontology.kif 5495-5496 side of intersection is internally related to point of intersection
(domain sideOfIntersection 1 TwoDimensionalFigure) Mid-level-ontology.kif 5497-5497 The number 1 argument of side of intersection is an instance of two dimensional figure
(domain sideOfIntersection 2 TwoDimensionalFigure) Mid-level-ontology.kif 5498-5498 The number 2 argument of side of intersection is an instance of two dimensional figure
(domain sideOfIntersection 3 OneDimensionalFigure) Mid-level-ontology.kif 5499-5499 The number 3 argument of side of intersection is an instance of one dimensional figure

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


(termFormat EnglishLanguage sideOfIntersection "side of intersection") Mid-level-ontology.kif 5500-5500
(format EnglishLanguage sideOfIntersection "%3 is the intersection %1 and %2") Mid-level-ontology.kif 5501-5501

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


(=>
    (sideOfIntersection ?F1 ?F2 ?S)
    (and
        (sideOfFigure ?S ?F1)
        (sideOfFigure ?S ?F2)))
Mid-level-ontology.kif 5503-5507 If X is the intersection Y and Z, then the size of Y is X and the size of Z is X
(=>
    (and
        (instance ?PY Pyramid)
        (instance ?POL Polygon)
        (faceOfFigure ?POL ?PY)
        (sideOfFigure ?S ?POL)
        (instance ?T Triangle)
        (faceOfFigure ?T ?PY)
        (sideOfFigure ?S ?T)
        (sideOfIntersection ?POL ?T ?S))
    (equal
        (CardinalityFn
            (KappaFn ?S
                (sideOfFigure ?S ?POL)))
        (CardinalityFn
            (KappaFn ?T
                (faceOfFigure ?T ?PY)))))
Mid-level-ontology.kif 5515-5531 If All of the following hold: (1) X is an instance of pyramid (2) Y is an instance of polygon (3) Y is the face of Figure X (4) the size of Y is Z (5) W is an instance of triangle (6) W is the face of Figure X (7) the size of W is Z (8) Z is the intersection Y and W, then equal the number of instances in the class described by Z and the number of instances in the class described by W
(=>
    (and
        (equal ?S CircleSector)
        (equal ?A CentralAngle)
        (angleOfFigure ?A ?S)
        (equal ?L ClosedLineSegment)
        (sideOfFigure ?L ?A)
        (sideOfIntersection ?A ?S ?L)
        (lineMeasure ?L ?R))
    (exists (?AC)
        (and
            (equal ?AC CircularArc)
            (sideOfFigure ?AC ?S)
            (arcLength ?AC ?R)
            (angularMeasure ?A
                (MeasureFn 1 Radian)))))
Mid-level-ontology.kif 5910-5924 If All of the following hold: (1) equal X and circle sector (2) equal Y and central angle (3) Y is the angle found in X (4) equal Z and closed line segment (5) the size of Y is Z (6) Z is the intersection Y and X (7) W is a line measure of Z, then there exists V such that equal V and circular arc and the size of X is V and W is the LengthMeasure of V and 1 radian(s) is an angular measure of Y

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


(=>
    (and
        (instance ?P Polyhedron)
        (faceOfFigure ?F1 ?P)
        (instance ?F1 Polygon)
        (sideOfFigure ?S ?F1))
    (exists (?F2)
        (and
            (instance ?F2 Polygon)
            (faceOfFigure ?F2 ?P)
            (not
                (equal ?F1 ?F2))
            (sideOfFigure ?S ?F2)
            (sideOfIntersection ?F1 ?F2 ?S))))
Mid-level-ontology.kif 5454-5467 If X is an instance of polyhedron, Y is the face of Figure X, Y is an instance of polygon, and the size of Y is Z, then All of the following hold: (1) there exists W such that W is an instance of polygon (2) W is the face of Figure X (3) equal Y (4) W (5) the size of W is Z (6) Z is the intersection Y (7) W
(=>
    (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


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