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KB:
SUMO
Language:
ChineseLanguage
ChinesePinyinWriting
ChineseSimplifiedWriting
ChineseTraditionalLanguage
EnglishLanguage
Englishlanguage
FrenchLanguage
GermanLanguage
Hindi
ItalianLanguage
JapaneseLanguage
PortugueseLanguage
SpanishLanguage
SwedishLanguage
cb
cz
de
hi
ro
sv
tg
Formal Language:
OWL
SUO-KIF
TPTP
traditionalLogic
KB Term:
Term intersection
English Word:
Any
Noun
Verb
Adjective
Adverb
sideOfFigure
Sigma KEE - sideOfFigure
sideOfFigure
appearance as argument number 1
(
documentation
sideOfFigure
EnglishLanguage
"(
sideOfFigure
?SIDE ?FIGURE) means that the
OneDimensionalFigure
?POINT is a side of the
GeometricFigure
?FIGURE.")
Mid-level-ontology.kif 5919-5920
(
domain
sideOfFigure
1
OneDimensionalFigure
)
Mid-level-ontology.kif 5917-5917
The number 1 argument of
side of figure
is an
instance
of
one dimensional figure
(
domain
sideOfFigure
2
GeometricFigure
)
Mid-level-ontology.kif 5918-5918
The number 2 argument of
side of figure
is an
instance
of
geometric figure
(
instance
sideOfFigure
BinaryPredicate
)
Mid-level-ontology.kif 5916-5916
side of figure
is an
instance
of
binary predicate
(
subrelation
sideOfFigure
geometricPart
)
Mid-level-ontology.kif 5915-5915
side of figure
is a
subrelation
of
geometric part
appearance as argument number 2
(
format
ChineseLanguage
sideOfFigure
"%2 的
side
%n 是 %1")
chinese_format.kif 788-788
(
format
EnglishLanguage
sideOfFigure
"the size of %2 is %n %1")
english_format.kif 790-790
(
format
FrenchLanguage
sideOfFigure
"le taille de %2 est %n %1")
french_format.kif 475-475
(
format
JapaneseLanguage
sideOfFigure
"%2 の size は %1 では %n")
english_format.kif 791-791
(
format
PortugueseLanguage
sideOfFigure
"o lado de %2 e' %n %1")
portuguese_format.kif 427-427
(
format
ro
sideOfFigure
"size%t{dimensiunea} lui %2 %n{nu} este %1")
relations-ro.kif 497-497
(
relatedInternalConcept
faceOfFigure
sideOfFigure
)
Mid-level-ontology.kif 5331-5331
face of figure
is
internally
related to
side of figure
(
termFormat
ChineseLanguage
sideOfFigure
"图形的边")
chinese_format.kif 789-789
face of figure
is
internally
related to
side of figure
(
termFormat
ChineseLanguage
sideOfFigure
"图的一面")
domainEnglishFormat.kif 52950-52950
face of figure
is
internally
related to
side of figure
(
termFormat
ChineseTraditionalLanguage
sideOfFigure
"圖的一面")
domainEnglishFormat.kif 52949-52949
face of figure
is
internally
related to
side of figure
(
termFormat
EnglishLanguage
sideOfFigure
"side of figure")
domainEnglishFormat.kif 52948-52948
face of figure
is
internally
related to
side of figure
antecedent
(=>
(
and
(
attribute
?X ?SHAPE)
(
instance
?X
FourPosterBed
)
(
instance
?SHAPE
Quadrilateral
)
(
sideOfFigure
?SIDE1 ?SHAPE)
(
sideOfFigure
?SIDE2 ?SHAPE)
(
not
(
equal
?SIDE1 ?SIDE2)))
(
exists
(?POST ?FLOOR ?CORNER1 ?CORNER)
(
and
(
part
?POST ?X)
(
instance
?FLOOR
Floor
)
(
orientation
?X ?FLOOR
On
)
(
orientation
?POST ?FLOOR
Vertical
)
(
pointOfIntersection
?SIDE1 ?SIDE2 ?CORNER1)
(
attribute
?CORNER ?CORNER1)
(
meetsSpatially
?CORNER ?POST))))
Mid-level-ontology.kif 4521-4538
If
a geometric figure
is an
attribute
of
an object
and
the object
is an
instance
of
four-poster bed
and
the geometric figure
is an
instance
of
quadrilateral
and the
size
of
the geometric figure
is
an one dimensional figure
and the
size
of
the geometric figure
is
another one dimensional figure
and
equal
the one dimensional figure
and
the other one dimensional figure
,
then there exist
another object
,
a third object
,, ,
a geometric point
and
a fourth object
such that
the other object
is a
part
of
the object
and
the third object
is an
instance
of
floor
and
the object
is
on
to
the third object
and
the other object
is
vertical
to
the third object
and
the one dimensional figure
is
point
of intersection
the other one dimensional figure
for
the geometric point
and
the geometric point
is an
attribute
of
the fourth object
and
the fourth object
meet
s
the other object
(=>
(
and
(
equal
?MAJ
MajorArc
)
(
sideOfFigure
?MAJ ?S)
(
equal
?S
CircleSector
)
(
angleOfFigure
?A ?S)
(
angularMeasure
?A
(
MeasureFn
?X
AngularDegree
)))
(
and
(
greaterThan
?X 180)
(
lessThan
?X 360)))
Mid-level-ontology.kif 5798-5807
If
equal
an one dimensional figure
and
Major arc
and the
size
of
a geometric figure
is
the one dimensional figure
and
equal
the geometric figure
and
circle sector
and
a two dimensional angle
is the
angle
found in
the geometric figure
and
a real number
angular degree
(s) is an
angular
measure of
the two dimensional angle
,
then
the real number
is
greater
than 180 and
the real number
is
less
than 360
(=>
(
and
(
equal
?MIN
MinorArc
)
(
sideOfFigure
?MIN ?S)
(
equal
?S
CircleSector
)
(
angleOfFigure
?A ?S)
(
angularMeasure
?A
(
MeasureFn
?X
AngularDegree
)))
(
and
(
greaterThan
?X 0)
(
lessThan
?X 180)))
Mid-level-ontology.kif 5782-5791
If
equal
an one dimensional figure
and
minor arc
and the
size
of
a geometric figure
is
the one dimensional figure
and
equal
the geometric figure
and
circle sector
and
a two dimensional angle
is the
angle
found in
the geometric figure
and
a real number
angular degree
(s) is an
angular
measure of
the two dimensional angle
,
then
the real number
is
greater
than 0 and
the real number
is
less
than 180
(=>
(
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 5753-5767
If
equal
a two dimensional figure
and
circle sector
and
equal
a two dimensional angle
and
central angle
and
the two dimensional angle
is the
angle
found in
the two dimensional figure
and
equal
an one dimensional figure
and
closed line segment
and the
size
of
the two dimensional angle
is
the one dimensional figure
and
the one dimensional figure
is the intersection
the two dimensional angle
and
the two dimensional figure
and
a length measure
is a
line
measure of
the one dimensional figure
,
then there exists
the two dimensional angle
C such that
equal
the two dimensional angle
C and
circular arc
and the
size
of
the two dimensional figure
is
the two dimensional angle
C and
the length measure
is the
LengthMeasure
of
the two dimensional angle
C and 1
radian
(s) is an
angular
measure of
the two dimensional angle
(=>
(
and
(
equal
?S
CircleSector
)
(
equal
?C
Circle
)
(
geometricPart
?S ?C)
(
equal
?L
ClosedLineSegment
)
(
sideOfFigure
?L ?S))
(
lineMeasure
?L
(
RadiusFn
?C)))
Mid-level-ontology.kif 5626-5633
If
equal
a geometric figure
and
circle sector
and
equal
a circle
and
circle
and
the circle
is a
geometric
part of
the geometric figure
and
equal
an one dimensional figure
and
closed line segment
and the
size
of
the geometric figure
is
the one dimensional figure
,
then the
radius
of
the circle
is a
line
measure of
the one dimensional figure
(=>
(
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
equal
the two dimensional figure
and
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
?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
equal
the number of
instances
in the
class
described by
the one dimensional figure
and the number of
instances
in the
class
described by
the symbolic string
(=>
(
and
(
sideOfFigure
?A ?S)
(
equal
?S
CircularSegment
))
(
equal
?A
MinorArc
))
Mid-level-ontology.kif 5904-5908
If the
size
of
a geometric figure
is
an one dimensional figure
and
equal
the geometric figure
and
circular segment
,
then
equal
the one dimensional figure
and
minor arc
(=>
(
and
(
tangent
?LINE ?CIRCLE)
(
sideOfFigure
?CURVE ?CIRCLE))
(
exists
(?POINT1)
(
and
(
pointOfFigure
?POINT1 ?LINE)
(
pointOfFigure
?POINT1 ?CURVE)
(
forall
(?POINT2)
(=>
(
and
(
pointOfFigure
?POINT2 ?LINE)
(
pointOfFigure
?POINT2 ?CURVE))
(
equal
?POINT1 ?POINT2))))))
Mid-level-ontology.kif 5259-5272
If a
tangent
of
an oval
is
a tangent line
and the
size
of
the oval
is
an one dimensional figure
,
then there exists
a geometric point
such that
the geometric point
is a
vertex
of
the tangent line
and
the geometric point
is a
vertex
of
the one dimensional figure
and for all
another geometric point
if
the other geometric point
is a
vertex
of
the tangent line
and
the other geometric point
is a
vertex
of
the one dimensional figure
,
then
equal
the geometric point
and
the other geometric point
(=>
(
sideOfFigure
?SIDE
Square
)
(
lineMeasure
?SIDE ?LENGTH))
Mid-level-ontology.kif 5559-5561
If the
size
of
square
is
an one dimensional figure
,
then
a length measure
is a
line
measure of
the one dimensional figure
consequent
(=>
(
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 5753-5767
If
equal
a two dimensional figure
and
circle sector
and
equal
a two dimensional angle
and
central angle
and
the two dimensional angle
is the
angle
found in
the two dimensional figure
and
equal
an one dimensional figure
and
closed line segment
and the
size
of
the two dimensional angle
is
the one dimensional figure
and
the one dimensional figure
is the intersection
the two dimensional angle
and
the two dimensional figure
and
a length measure
is a
line
measure of
the one dimensional figure
,
then there exists
the two dimensional angle
C such that
equal
the two dimensional angle
C and
circular arc
and the
size
of
the two dimensional figure
is
the two dimensional angle
C and
the length measure
is the
LengthMeasure
of
the two dimensional angle
C and 1
radian
(s) is an
angular
measure of
the two dimensional angle
(=>
(
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
equal
the two dimensional figure
and
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
?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
equal
the number of
instances
in the
class
described by
the one dimensional figure
and the number of
instances
in the
class
described by
the symbolic string
(=>
(
equal
?S
CircleSector
)
(
exists
(?A ?AC)
(
and
(
equal
?A
CentralAngle
)
(
angleOfFigure
?A ?S)
(
equal
?AC
CircularArc
)
(
sideOfFigure
?AC ?S))))
Mid-level-ontology.kif 5617-5624
If
equal
a geometric figure
and
circle sector
,
then there exist
a two dimensional angle
and
the two dimensional angle
C such that
equal
the two dimensional angle
and
central angle
and
the two dimensional angle
is the
angle
found in
the geometric figure
and
equal
the two dimensional angle
C and
circular arc
and the
size
of
the geometric figure
is
the two dimensional angle
C
(=>
(
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 5606-5615
If
equal
a two dimensional figure
and
circle sector
,
then there exist
another two dimensional figure
and
an one dimensional figure
such that
equal
the other two dimensional figure
and
circle
and
the other two dimensional figure
is a
geometric
part of
the two dimensional figure
and
equal
the one dimensional figure
and
circular arc
and
the other two dimensional figure
is a
geometric
part of
the one dimensional figure
and the
size
of
the 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
(=>
(
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 5737-5751
If
a geometric figure
is an
instance
of
central angle
,
then there exist
an one dimensional figure
,
the one dimensional figure
2,, ,
a circle
and
a length measure
such that
equal
the one dimensional figure
and
closed line segment
and the
size
of
the geometric figure
is
the one dimensional figure
and
equal
the one dimensional figure
2 and
closed line segment
and the
size
of
the geometric figure
is
the one dimensional figure
2 and
equal
the circle
and
circle
and
the circle
is a
geometric
part of
the geometric figure
and
the one dimensional figure
is
point
of intersection
the one dimensional figure
2 for the
center
of circle of
the circle
and
the length measure
is a
line
measure of
the one dimensional figure
and
the length measure
is a
line
measure of
the one dimensional figure
2 and the
radius
of
the circle
is
the length measure
(=>
(
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
(=>
(
instance
?QUAD
Quadrilateral
)
(
equal
(
CardinalityFn
(
KappaFn
?SIDE
(
sideOfFigure
?SIDE ?QUAD))) 4))
Mid-level-ontology.kif 5543-5548
If
an entity
is an
instance
of
quadrilateral
,
then
equal
the number of
instances
in the
class
described by
a symbolic string
and 4
(=>
(
sideOfIntersection
?F1 ?F2 ?S)
(
and
(
sideOfFigure
?S ?F1)
(
sideOfFigure
?S ?F2)))
Mid-level-ontology.kif 5357-5361
If
an one dimensional figure
is the intersection
a two dimensional figure
and
another two dimensional figure
,
then the
size
of
the two dimensional figure
is
the one dimensional figure
and the
size
of
the other two dimensional figure
is
the one dimensional figure
statement
(
equal
(
CardinalityFn
(
KappaFn
?SIDE
(
sideOfFigure
?SIDE
CircleSector
))) 3)
Mid-level-ontology.kif 5635-5638
equal
the number of
instances
in the
class
described by
a symbolic string
and 3
(
equal
(
CardinalityFn
(
KappaFn
?SIDE
(
sideOfFigure
?SIDE
CircularSegment
))) 2)
Mid-level-ontology.kif 5910-5913
equal
the number of
instances
in the
class
described by
a symbolic string
and 2
(
equal
(
CardinalityFn
(
KappaFn
?SIDE
(
sideOfFigure
?SIDE
Triangle
))) 3)
Mid-level-ontology.kif 5522-5525
equal
the number of
instances
in the
class
described by
a symbolic string
and 3
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