![]() |
![]() Browsing Interface : Welcome guest : log in |
[
Home | 
Graph | 
LogLearn |
Editor |
]
KB:
Language:
Formal Language:
|
| 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 |
|
|
| antecedent |
|
|
| 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 |