Polygon - Sigma Knowledge base Browser

appearance as argument number 1

(documentation Polygon EnglishLanguage "A ClosedTwoDimensionalFigure that is composed exclusively of straight lines.")	Mid-level-ontology.kif 5501-5502
(externalImage Polygon "http://upload.wikimedia.org/wikipedia/commons/4/ 4c/ Simple_polygon.png")	pictureList.kif 961-961
(subclass Polygon ClosedTwoDimensionalFigure)	Mid-level-ontology.kif 5500-5500	Polygon is a subclass of closed two dimensional figure

appearance as argument number 2

(instance Triangle Polygon)	Mid-level-ontology.kif 5519-5519	Triangle is an instance of polygon
(subclass Quadrilateral Polygon)	Mid-level-ontology.kif 5540-5540	Quadrilateral is a subclass of polygon
(termFormat ChineseLanguage Polygon "多边形")	domainEnglishFormat.kif 46587-46587	Quadrilateral is a subclass of polygon
(termFormat ChineseTraditionalLanguage Polygon "多邊形")	domainEnglishFormat.kif 46586-46586	Quadrilateral is a subclass of polygon
(termFormat EnglishLanguage Polygon "polygon")	domainEnglishFormat.kif 46585-46585	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 5308-5321	If a geometric figure is an instance of polyhedron and a two dimensional figure is the face of Figure the geometric figure and the two dimensional figure is an instance of polygon and the size of the two dimensional figure is an one dimensional figure, then there exists another two dimensional figure such that the other two dimensional figure is an instance of polygon and the other two dimensional figure is the face of Figure the geometric figure and the two dimensional figure is not equal to the other two dimensional figure and the size of the other two dimensional figure is the one dimensional figure and the one dimensional figure is the intersection the two dimensional figure and the other two dimensional figure
(=> (and (instance ?POLYGON Polygon) (geometricPart ?PART ?POLYGON)) (equal ?PART StraightLine))	Mid-level-ontology.kif 5506-5510	If a geometric figure is an instance of polygon and the geometric figure is a geometric part of another geometric figure, then the other geometric figure is equal to straight line
(=> (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 5369-5385	If a geometric figure is an instance of pyramid and a two dimensional figure is an instance of polygon and the two dimensional figure is the face of Figure the geometric figure and the size of the two dimensional figure is an one dimensional figure and a symbolic string is an instance of triangle and the symbolic string is the face of Figure the geometric figure and the size of the symbolic string is the one dimensional figure and the one dimensional figure is the intersection the two dimensional figure and the symbolic string, then the number of instances in the class described by the one dimensional figure is equal to the number of instances in the class described by the symbolic string
(=> (and (instance ?T Polygon) (equal ?T RightTriangle)) (exists (?A) (and (instance ?A TwoDimensionalAngle) (angleOfFigure ?A ?T) (equal ?A RightAngle))))	Mid-level-ontology.kif 5530-5538	If a geometric figure is an instance of polygon and the geometric figure is equal to right triangle, then there exists a two dimensional angle such that the two dimensional angle is an instance of two dimensional angle and the two dimensional angle is the angle found in the geometric figure and the two dimensional angle is equal to right angle
(=> (instance ?POLYGON Polygon) (exists (?SIDE) (and (sideOfFigure ?SIDE ?POLYGON) (geometricPart ?SIDE ?POLYGON))))	Mid-level-ontology.kif 5512-5517	If a geometric figure is an instance of polygon, then there exists an one dimensional figure such that the size of the geometric figure is the one dimensional figure and the geometric figure is a geometric part of the one dimensional figure

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 5308-5321

If a geometric figure is an instance of polyhedron and a two dimensional figure is the face of Figure the geometric figure and the two dimensional figure is an instance of polygon and the size of the two dimensional figure is an one dimensional figure,
then there exists another two dimensional figure such that the other two dimensional figure is an instance of polygon and the other two dimensional figure is the face of Figure the geometric figure and the two dimensional figure is not equal to the other two dimensional figure and the size of the other two dimensional figure is the one dimensional figure and the one dimensional figure is the intersection the two dimensional figure and the other two dimensional figure

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