Index of the geometry_real module
-
m
base.geometry_real
...
- objects of real 3d space
-
m
points
...
- objects representing a point in real 3d space
-
m
basepoints
...
- point determined by its coordinates in 3d space
-
C
Point
...
- point fixed at the indicated x,y,z coordinates
-
C
FreePoint
...
- point initially at the indicated x,y,z coordinates that can be picked
and moved freely in space
-
m
antipodals
...
- point determined as antipodal (i.e.'opposite') to a given point in
relation to a given geometric object
-
f
AntiPodal
...
- factory function returns instance a class representing a point of space determined as
antipodal (i.e.'opposite') to a given point in relation to a given geometric object
-
C
LineAntiPodal
...
- point of line segment farthest from the given point of the line
-
C
CircleAntiPodal
...
- point on the given circle diametrically opposite to the given point
-
C
SphereAntiPodal
...
- point on the given sphere diametrically opposite to the given point
-
m
centers
...
- point determined as a defined center of a given geometric object
-
f
Center
...
- factory function returns instance of a class representing a point in space determined
as a defined center of a given geometric object
-
C
TetraCenter
...
- point at center of sphere circumscribing the given 4 points' tetrahedron
-
C
ExCenter
...
- point at center of the circle exscribed opposite 1st point in the
3 points' triangle
-
C
InCenter
...
- point at center of the circle inscribed in the given 3 points' triangle
-
C
OrthoCenter
...
- point of intersection of the altitude of the given 3 points' triangle
-
C
CircumCenter
...
- point at center of the circle circumscribing the given 3 points' triangle
-
C
Centroid
...
- point at center of mass of the given 3 points' triangle
-
m
dividers
...
- point defined in relation to the the division of a given geometic object
in a given ratio or metric
-
f
Divider
...
- factory function returns instance of a class representing a point in space
defined in relation to its division of a given geometic object in a given
ratio or metric
-
C
CrossPoint
...
- point equalizing cross ratio of second 3 point list to first 4 point list
-
C
CircumPoint
...
- point on circle circumference rotated by the given angle
-
C
Harmonic
...
- point that is harmonic conjugate of 1st given point with respect
to succeeding given 2 points
-
C
LineDivider
...
- point dividing the given line segment in the given ratio
-
C
LineCut
...
- point of given line dividing it so the segment equals distance between
given 2 points <or 2nd given line segments endpoints>.
-
m
footpoints
...
- point determined as the perpendicular foot of a given geomeric
object
-
f
Foot
...
- factory function returns instance a class rperesenting a point in space determined
as the perpendicular foot of a given geomeric object
-
C
LineFoot
...
- point *on the **line* at the intersection with the perpendicular to it through
the given point
-
C
PlaneFoot
...
- point on the given plane at the intersection with the perpendicular
to it through the given point
-
m
intersects
...
- point determined as the intersection of given geometric objects
-
f
Intersect
...
- factory function returns instance a class representing a point in space class
determined as the intersection of given geometric objects
-
C
LinesIntersect
...
- point of intersection of 2 given coplanar lines
-
C
PlanesIntersect
...
- point of intersection of 3 given planes
-
C
PlaneLineIntersect
...
- point of intersection of given plane and given line
-
m
inversions
...
- point determined in respect to an inversive relationship with
a given geometric objects
-
f
Inversion
...
- factory function returns instance of a class represenint a point in space
determined in respect to an inversive relationship of given geometric objects
-
C
CirclePole
...
- point polar to given line with respect to a given coplanar circle
-
C
ConicPole
...
- point polar to given line with respect to a given coplanar conic
-
C
SphereInversion
...
- point inverse to given point with respect to a given sphere
-
C
CircleInversion
...
- point inverse to given point with respect to a given coplanar circle
-
C
SpherePole
...
- point polar to given sphere with respect to a given plane
-
m
reflections
...
- point determined as a reflection in a given geometric object
-
f
Reflection
...
- factory function returns instance a class representing a point in space determined as a
reflection of a given point in a given geometric object
-
C
LineReflection
...
- point of reflection of given point in the given line,
on the plane of the line and point
-
C
PlaneReflection
...
- point of reflection of the given point in the given plane
-
m
sliders
...
- point which can be picked and moved, with movement constrained
to a given geometric object
-
f
Slider
...
- factory function returns instance of a classs object representing a point in space
which can be interactively picked, with movement constrained to a given geometric object
-
C
CircleSlider
...
- point which can be picked and moved, with movement constrained to
given circle
-
C
LineSlider
...
- point that can be picked and moved, with movement constrained
to given line
-
C
SphereSlider
...
- point which can be picked and moved, with movement constrained to
given sphere
-
C
PlaneSlider
...
- point which can be picked and moved, with movement constrained
to given plane
-
m
anipoints
...
- point which moves on a given geometric object at each rendering update cyle
-
f
AniPoint
...
- factory function returns instance a class representing a point of space which
moves in relation to a given geometric object at each rendering update
-
C
CirclingPoint
...
- point which moves along given circle at each update cyle
-
C
SlidingPoint
...
- point which moves along the given line at each update cylce
-
m
lines
...
- line in space representing breathless length
-
f
Line
...
- factory function returns instance a class representing breathless
length in space
-
C
ConicPolar
...
- line polar to the given point with respect to the given conic
-
C
LineFromPoints
...
- line connecting the 2 given points
-
C
CirclePolar
...
- line polar to the given point with the respect to the given circle.
-
C
ParaLine
...
- line parallel to the given line, through the given point,
on the plane of the point and the line.
-
C
Transversal
...
- line through the given point and intersecting the 2 given lines
-
C
PlanePerp
...
- line perpendicular to the given plane and through the given point
-
C
LinePerp
...
- line through 2nd given point and perpendicular to the line through
1st and 2nd given points, on the plane of 3 given points
-
C
NearLine
...
- line connecting the nearest points of the 2 given lines
-
C
PlanesLine
...
- line determined by the intersection of the 2 given planes
-
m
chords
...
- line segment connecting the points of a line on a given
geometric object
-
f
Chord
...
- factory function returns instance of a class representing the line segment connecting two points of
a given geometric object
-
C
ConicChord
...
- line segment joining the points of intersection of the given conic and line
-
C
CircleChord
...
- line segment joining the points of intersection of the given circle
and line
-
C
BiChord
...
- line segment joining the points of intersection of the given 2 circles
-
C
SphereChord
...
- line segment joining the points of intersection of the given sphere
and line
-
m
circles
...
- circle oriented in space
-
f
Circle
...
- factory function returns instance a class representing the set of points
of a plane equidistant from a given point of the plane
-
C
CircleOnPlane
...
- circle of the given plane with 1st given point at center, 2nd point on
circumference
-
C
CircumCircle
...
- circle passing through the 3 given points
-
C
OrthoCircle
...
- circle with center at the given point and orthogonal to the
given circle
-
C
ExscribedCircle
...
- circle exscribed in the 3 given points' triangle,
in the side opp the 1st point
-
C
CenterCircle
...
- circle with first point at center, second on circumference and on the plane
of the 3 points
-
C
InscribedCircle
...
- circle inscribed in the 3 given points' triangle
-
C
SpheresIntersect
...
- circle section determined by the intersection of the 2 given spheres
-
C
SphereCircle
...
- circle section of the intersection of given sphere and given plane
-
m
planes
...
- plane oriented in space
-
f
Plane
...
- factory function returns instance a class rperesenting a 2 dimensional
surface spanned by two linearly independent vectors
-
C
ParaLinesPlane
...
- plane through the given point and parallel to the given 2 lines.
-
C
PlaneFromPoints
...
- plane through the 3 given points
-
C
PolarPlane
...
- plane polar to the given point with respect to the given sphere
-
C
ParaPointPlane
...
- plane through the given point and parallel to the given plane
-
C
PlaneFromNormal
...
- plane normal to the line connecting given 2 points and on the 2nd
given point
-
C
Triangle
...
- triangle connecting the given 3 points
-
C
PerpPlane
...
- plane through the given 2 points and perpendicular to the given plane
-
m
spheres
...
- sphere in space
-
f
Sphere
...
- factory function returns a class representing a set of points equidistant from a given
point
-
C
CenterSphere
...
- sphere with center at 1st given point and through 2nd given point
-
C
OrthoSphere
...
- sphere with center at given point and orthogonal to given sphere
-
C
CircumSphere
...
- sphere through the 4 given points
-
m
pointarrays
...
- array of points with a defined geometic relationship
-
f
PointArray
...
- factory function returns instance a class representing an array of points
with a defined geometic relationship
-
C
GrowthMeasure
...
- array of points of line with any sequential 4 points
with crossratio equal to that of the 4 given points
-
C
Harmonics
...
- array of points harmonic to the given point array,
with respect to the given points
-
C
CorrelationPoints
...
- array of point as poles of the given line array with respect to
the given conic
-
C
PlanePoints
...
- array of points of intersection of the given line array with
the given plane
-
C
CirclingPencil
...
- array points of intersection of the given array of lines
and the given line
-
C
PointPencil
...
-
C
CirclePoints
...
- array of points equidistant on given circumference of given circle
-
C
Conic
...
- array of points on the conic determined by the given 5 points
-
C
ArrayIntersect
...
- array of points of intersection of the given 2 arrays of lines
-
m
curves
...
- array of points on a defined curve in space
-
f
Curve
...
- factory function returns instance of a class representing an array of
points on a defined curve
-
C
Bezier
...
- Bezier curve with the ordered list of points as control points
-
C
PcCurve
...
- cubic BSpline curve with 1st and 2nd given points as end points
and 3rd and 4th points as control points
-
m
linearrays
...
- array of lines with a defined geometric relationship
-
f
LineArray
...
- 'factory function returns instance a class representing an array of lines
with a defined geometic relationship
-
C
ArrayMap
...
- array of lines connecting the points of the 2 given point arrays
-
C
PlanesPencilIntersect
...
- array of lines of intersection of 2 given plane sheaves
-
C
LinePencil
...
- array of equidistant lines on given plane and through given point
-
C
PointMap
...
- array of lines connecting points of the projective correspondance
defined by the 1st list of 3 points and the 2nd list of 3 points
-
C
LineMap
...
- array of lines through the points of the point array and the given point
-
C
CorrelationLines
...
- array of lines polar to the points of the given point array with respect
to the given conic
-
C
Regulus
...
- array of lines transverse to the given lines through given array of points
-
m
circlearrays
...
- collection of circles with a defined geometric relationship
-
f
CircleArray
...
- factory function returns instance of a classs representing an array of circles with a
defined geometic relationship
-
C
CirclePencil
...
- array of circle sections which the given plane sheaf cuts from the given sphere.
-
m
planearrays
...
- array of planes with a defined geometric relationship
-
f
PlaneArray
...
- factory function returns instance a class representing an array of planes
with a defined geometric relationship
-
C
PlaneSheaf
...
- sheaf of planes through the given line
-
m
transforms
...
- geometric objects representing a defined transformation of a given set of objects
-
f
Transform
...
- factory function returns instance a class representing a collections of objects
having undergone a given geoemtric transformation.
-
C
CentralProjection
...
- projection of the objects in the given list from the given point
to the given plane
-
C
ReflectTransform
...
- reflection of the given list of objects
in the given plane