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KB:
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Formal Language:
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LineInSpace
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| appearance as argument number 1 |
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| (subclass LineInSpace Region) | Mid-level-ontology.kif 27912-27912 | Line in space is a subclass of region |
| (documentation LineInSpace EnglishLanguage "LineInSpace is a Region.Any LineInSpace contains at least two PointInSpace (points in space). If we have two LineInSpace instances and they each have two PointInSpace in common, then they are the same line. If two LineInSpaces have the relation parallel then there does not exist any PointInSpace that is part of both lines.") | Mid-level-ontology.kif 27913-27916 | Line in space is a subclass of region |
| (relatedInternalConcept LineInSpace PointInSpace) | Mid-level-ontology.kif 27918-27918 | Line in space is internally related to point in space |
| appearance as argument number 2 |
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| appearance as argument number 3 |
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| antecedent |
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| (=> (instance ?L LineInSpace) (exists (?P1 ?P2) (and (instance ?P1 PointInSpace) (instance ?P2 PointInSpace) (not (equal ?P1 ?P2)) (part ?P1 ?L) (part ?P2 ?L)))) |
Mid-level-ontology.kif 27920-27929 | If X is an instance of line in space, then All of the following hold: (1) there exist Y (2) Z such that Y is an instance of point in space (3) Z is an instance of point in space (4) equal Y (5) Z (6) Y is a part of X (7) Z is a part of X |
| (=> (and (instance ?L1 LineInSpace) (instance ?L2 LineInSpace) (instance ?P1 PointInSpace) (instance ?P2 PointInSpace) (not (equal ?P1 ?P2)) (part ?P1 ?L1) (part ?P2 ?L1) (part ?P1 ?L2) (part ?P2 ?L2)) (equal ?L1 ?L2)) |
Mid-level-ontology.kif 27931-27943 | If All of the following hold: (1) X is an instance of line in space (2) Y is an instance of line in space (3) Z is an instance of point in space (4) W is an instance of point in space (5) equal Z and W (6) Z is a part of X (7) W is a part of X (8) Z is a part of Y (9) W is a part of Y, then equal X and Y |
| (=> (and (instance ?S PlaneInSpace) (part ?L1 ?S) (instance ?L1 LineInSpace) (part ?L2 ?S) (instance ?L2 LineInSpace) (not (equal ?L1 ?L2)) (not (parallelLinesInSpace ?L1 ?L2))) (exists (?P) (and (instance ?P PointInSpace) (part ?P ?L1) (part ?P ?L2)))) |
Mid-level-ontology.kif 28024-28039 | If All of the following hold: (1) X is an instance of plane in space (2) Y is a part of X (3) Y is an instance of line in space (4) Z is a part of X (5) Z is an instance of line in space (6) equal Y and Z (7) Y and Z are parallel, then there exists W such that W is an instance of point in space, W is a part of Y, and W is a part of Z |
| (=> (and (instance ?S PlaneInSpace) (part ?L1 ?S) (instance ?L1 LineInSpace) (part ?L2 ?S) (instance ?L2 LineInSpace) (not (equal ?L1 ?L2)) (parallelLinesInSpace ?L1 ?L2)) (not (exists (?P) (and (instance ?P PointInSpace) (part ?P ?L1) (part ?P ?L2))))) |
Mid-level-ontology.kif 28041-28056 | If All of the following hold: (1) X is an instance of plane in space (2) Y is a part of X (3) Y is an instance of line in space (4) Z is a part of X (5) Z is an instance of line in space (6) equal Y and Z (7) Y and Z are parallel, then there doesn't exist W such that W is an instance of point in space, W is a part of Y, and W is a part of Z |
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| (=> (and (equal ?PLANE (LevelPlaneFn ?P ?A)) (part ?P ?R) (instance ?R Region) (located ?R ?A)) (exists (?L) (and (instance ?L LineInSpace) (endPointsOfLineInSpace ?P (CenterOfPlanetFn ?A) ?L) (orientation ?PLANE ?L RightAngle)))) |
Mid-level-ontology.kif 28070-28082 | If equal X, the PlaneInSpace is perpendicular to the line formed by Y, and the centre of the AstronomicalBody., Y is a part of Z, Z is an instance of region, and Z is located at W, then there exists V such that V is an instance of line in space, Y, the centre of AstronomicalBody W is are end points of V, and X is at a right angle to to V |