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KB Term:  Term intersection
English Word: 

Sigma KEE - Polygon
Polygon(polygon)

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


(subclass Polygon ClosedTwoDimensionalFigure) Mid-level-ontology.kif 5517-5517 Polygon is a subclass of closed two dimensional figure
(documentation Polygon EnglishLanguage "A ClosedTwoDimensionalFigure that is composed exclusively of straight lines.") Mid-level-ontology.kif 5518-5519 Polygon is a subclass of closed two dimensional figure
(externalImage Polygon "http://upload.wikimedia.org/wikipedia/commons/4/ 4c/ Simple_polygon.png") pictureList.kif 961-961 Polygon is a subclass of closed two dimensional figure

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


(instance Triangle Polygon) Mid-level-ontology.kif 5536-5536 Triangle is an instance of polygon
(subclass Quadrilateral Polygon) Mid-level-ontology.kif 5557-5557 Quadrilateral is a subclass of polygon
(termFormat EnglishLanguage Polygon "polygon") domainEnglishFormat.kif 46578-46578 Quadrilateral is a subclass of polygon
(termFormat ChineseTraditionalLanguage Polygon "多邊形") domainEnglishFormat.kif 46579-46579 Quadrilateral is a subclass of polygon
(termFormat ChineseLanguage Polygon "多边形") domainEnglishFormat.kif 46580-46580 Quadrilateral is a subclass of polygon

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


(=>
    (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 5325-5338 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
(=>
    (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 5386-5402 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
        (instance ?POLYGON Polygon)
        (geometricPart ?PART ?POLYGON))
    (equal ?PART StraightLine))
Mid-level-ontology.kif 5523-5527 If X is an instance of polygon and X is a geometric part of Y, then equal Y and straight line
(=>
    (instance ?POLYGON Polygon)
    (exists (?SIDE)
        (and
            (sideOfFigure ?SIDE ?POLYGON)
            (geometricPart ?SIDE ?POLYGON))))
Mid-level-ontology.kif 5529-5534 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
(=>
    (and
        (instance ?T Polygon)
        (equal ?T RightTriangle))
    (exists (?A)
        (and
            (instance ?A TwoDimensionalAngle)
            (angleOfFigure ?A ?T)
            (equal ?A RightAngle))))
Mid-level-ontology.kif 5547-5555 If X is an instance of polygon and equal X and right triangle, then there exists Y such that Y is an instance of two dimensional angle, Y is the angle found in X, equal Y, and at a right angle to

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 5325-5338 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


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