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Formal Language:
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| sideOfIntersection |
| appearance as argument number 1 |
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| appearance as argument number 2 |
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| (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 |
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| (=> (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 |
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| (=> (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 |