3DGeometry: Interactive 3D geometry application

Draw geometry objects in 3D: solids, lines, vectors, planes, functions... This program was created using C# around 2007-2008, before Geogebra had 3D support.

download code download binaries view github repo

On this page:

Introduction
Getting started
List of all available commands

Introduction

Here is a screenshot:

You can move the view in any direction. Here are two examples:

You can create:

3D objects (lines, vectors, cones, spheres, parallelepipeds, tetrahedrons and other solids),
planes and 2D objects (lines, vectors, circles, rectangles and other figures),
functions (on a plane and in space).

Furthermore, you can study intersections between several of these objects, vectors, barycenters, transformations (symmetry, homothety, rotation, translation), angles (bissector, ...), circles (tangent, ...), etc.

Here is an example of intersection M between a line l and a sphere:

Here an example of a house build with the program:

Getting started

Compile the C# source code with Visual Studio, or download the binaries from the link above.

To create object, you need to enter a command in the command box. For example, to create a point named A at position (1,2,3):

CreatePoint A,1,2,3

Here are the commands entered to create the previous example:

CreatePoint A, 3, -1, 0
CreateRegularTetrahedron tetra, A, 2, 0, 0, 0
ChangeColor Red:50, tetra
CreatePoint B, 3, -1, 2
CreateSphere sphere, B, 0.75
CreatePoint B_1, 2, -1, 2
CreatePoint C, 0, 2, 1
CreatePoint C_1, 0, 4, 1
CreatePoint C_2, -1, 2, 1
CreateVectorUsingPoints v, C, C_1
CreateVectorUsingPoints v_1, C, C_2
ChangeColor Blue, v_1
ChangeWidth 1, v_1
CreatePoint C_3, -1, 2, 2
CreateVectorUsingPoints v_2, C, C_3
ChangeWidth 2, v_2
CreatePoint D, 2, 5, 0
CreateParallelepiped para, D, 1, 1, 1, 0, 0, 0
ChangeColor Green:50, para
CreateRay r, B, B_1

See below for the list of all commands. This list is also available directly in the interface with the F1 key (use shift+F1 to get the list of available formulas):

Use shift+Enter after having entered the beginning of the command name for auto-completion.

You can visualize the objects, their details and their dependencances with the F3 key:

To select objects, use the F2 key:

You can move the axes by typing mov (see the gif animation above):

use the arrow keys to move the axes horizontally or vertivally,
use shift and the arrow keys to change Euler's angles (phi and theta),
use shift and the page up and down keys to rotate the view.

The general format of a command is cmd arg1, arg2, .... Use the double quotes " to escape the comma. Use the ask command to get asked for each argument to enter, if you don't remember the exact syntax.

To get help for a specific command, type cmd ? (with an interrogation mark).

To open a dialog box for some parameters (for example to set a color or a font, or open or save a file), use ??color, ??openfile, ??savefile, ??font, ??dir.

To save the list of commands you have entered, use the SaveBatch (and LoadBatch to restore) command.

Some other shortcuts:

shift+F2: increase or decrease the command box,
F4: execute the last command,
F5: allow selection in the command box,
F10: clear the current line.

List of all available commands

Quick access to the main function categories:

Create objects: Space points, Space objects, Lines, Vectors, Plane points, Plane objects, Angles, Transformations, Transformed objects, Functions, Others, From other objects,
Base properties,
Drawing looking,
Drawing properties,
Files,
Formula,
Internal commands,
Manage objects,
Moving modes,
Object informations,
Objects properties,
Selection,
System,
View properties,
Alter objects,
Get objects,
Get properties,
Internal maths functions,
Other functions.

Create objects

Space points

Command name	Parameters
CreatePoint (CrPt)	name(String), x(DoubleF), y(DoubleF), z(DoubleF)
CreateMidpoint (CrPt, CrMidpt)	name(String), spt1(SpPointObject), spt2(SpPointObject)
CreateBarycenter (CrPt, CrBar)	name(String), wpoints(WeightedPoint[])[Not Empty]
CreateLinesIntersection (CrInter, CrLinesInter)	name(String), line1(SpLine), line2(SpLine)
CreateLineSphereIntersection (CrInter, CrLineSphInter)	name(String), line(SpLine), sphere(SpSphere), inter1(Boolean)
CreateOrthoProjPointOnLine (CrPt, CrLineOrthoProjPt)	name(String), basePoint(SpPointObject), line(SpLine)
CreatePointOnFunction2 (CrPt, CrFunc2Pt)	name(String), func(SpFunction2), x(DoubleF), y(DoubleF), isLimited(Boolean)
CreatePointOnLine (CrPt, CrLinePt)	name(String), line(SpLine), tParam(DoubleF)
CreatePointOnSphere (CrPt, CrSphPt)	name(String), sphere(SpSphere), lambda(DoubleF), phi(DoubleF)
CreateImagePoint (CrPt, CrImgPt)	name(String), spt(SpPointObject), vect(SpVectorObject)
CreatePointPolar (CrPt, CrPolPt)	name(String), radius(DoubleF), lambda(DoubleF), phi(DoubleF)
CreatePointPolar3UsingCoords (CrPt, CrPol3Pt, CrPol3PtUsCoords)	name(String), radius(DoubleF), psi(DoubleF), theta(DoubleF), phi(DoubleF)
	name(String), psi(DoubleF), theta(DoubleF), phi(DoubleF), xs(DoubleF), ys(DoubleF), zs(DoubleF)

Space objects

Command name	Parameters
CreateCone (CrCone, CrSolid)	name(String), vertex(SpPointObject), baseCircle(SpCircle)
CreateCubeOnPlane (CrSolid, CrPlaneCube)	name(String), spt1(SpPointOnPlaneObject), spt2(SpPointOnPlaneObject), invertOnPlane(Boolean), invertInSpace(Boolean)
CreateParallelepiped (CrCube, CrSolid)	name(String), center(SpPointObject), length(DoubleF), width(DoubleF), heigth(DoubleF), psi(DoubleF), theta(DoubleF), phi(DoubleF)
CreateRegularTetrahedron (CrTetra, CrSolid)	name(String), center(SpPointObject), edgeLength(DoubleF), psi(DoubleF), theta(DoubleF), phi(DoubleF)
CreateRegularTetrahedronOnPlane (CrSolid, CrPlaneTetra)	name(String), spt1(SpPointOnPlaneObject), spt2(SpPointOnPlaneObject), invertOnPlane(Boolean), invertInSpace(Boolean)
CreateSolid (CrSolid)	name(String), vertices(SpPointObject[])[Not Empty], faces(SpPointObject[][])[Not Empty]
CreateSolidWithCenter (CrSolid, CrCenteredSolid)	name(String), center(SpPointObject), vertices(SpPointObject[])[Not Empty], faces(SpPointObject[][])[Not Empty]
CreateSphere (CrSph)	name(String), center(SpPointObject), radius(DoubleF)
CreateSphereUsingPoint (CrSph, CrSphUsPt)	name(String), center(SpPointObject), point(SpPointObject)

Lines

Command name	Parameters
CreateLine (CrLine)	name(String), spt1(SpPointObject), spt2(SpPointObject)
CreateLineUsingVector (CrLine, CrLineUsVec)	name(String), spt1(SpPointObject), vec(SpVectorObject)
CreateParallelLine (CrParLine)	name(String), spt1(SpPointObject), baseLine(SpLine)
CreatePerpendicularLine (CrPerLine)	name(String), spt2(SpPointObject), baseLine(SpLine)
CreatePerpendicularLineToPlane (CrPerLine, CrPlanePerLine)	name(String), spt1(SpPointObject), basePlane(SpPlaneObject)
CreateRay (CrRay)	name(String), spt1(SpPointObject), spt2(SpPointObject)
CreateSegment (CrSeg)	name(String), spt1(SpPointObject), spt2(SpPointObject)
CreatePlanesIntersection (CrInter, CrPlanesInter)	name(String), plane1(SpPlaneObject), plane2(SpPlaneObject)
CreateAngleBissector (CrBiss, CrLine)	name(String), angle(SpAngle)
CreateCircleTangent (CrLine, CrCircleTan)	name(String), circle(SpCircle), ptOnCircle(SpPointOnPlaneObject)
CreateFunction1OnPlanTangent (CrLine, CrFunc1Tan)	name(String), function(SpFunction1OnPlane), ptOnFunc(SpPointOnPlaneObject)
CreatePlanePolygonIntersection (CrInter, CrPlanePolyInter)	name(String), plane(SpPlaneObject), polygon(SpPolygon)

Vectors

Command name	Parameters
CreateVectorUsingPoints (CrVec, CrVecUsPts)	name(String), spt1(SpPointObject), spt2(SpPointObject)
CreateVectorUsingCoords (CrVec, CrVectUsCoords)	name(String), spt1(SpPointObject), x(DoubleF), y(DoubleF), z(DoubleF)
CreateSpVectorUsingPointsAndOrigin (CrVec, CrVecUsPtsAndOrig)	name(String), spt1(SpPointObject), basePt1(SpPointObject), basePt2(SpPointObject)
CreateVectorUsingPointsAndCoeff (CrVec, CrVecUsPtsCoeff)	name(String), coeff(DoubleF), basePt1(SpPointObject), basePt2(SpPointObject)
CreateVectorUsingPointsAndCoeff (CrVec, CrVecUsPtsCoeff)	name(String), spt1(SpPointObject), coeff(DoubleF), basePt1(SpPointObject), basePt2(SpPointObject)
CreateVectorUsingMultiply (CrVec, CrVecUsMul)	name(String), spt1(SpPointObject), coeff(DoubleF), vec(SpVectorObject)
CreateVectorUsingSum (CrVec, CrVecUsSum)	name(String), spt1(SpPointObject), baseVectors(SpVectorObject[])[Not Empty]
CreateNormalVectorToLine (CrVec, CrLineNormalVec)	name(String), spt1(SpPointObject), line(SpLine), planePt(SpPointObject), invertDir(Boolean)
CreateNormalVectorToLineStartingAtLine (CrVec, CrLineNormalVecAtLine)	name(String), line(SpLine), spt2(SpPointObject)
CreateNormalVectorToPlane (CrVec, CrPlaneNormalVec)	name(String), spt1(SpPointObject), plane(SpPlaneObject), invertDir(Boolean)
CreateNormalVectorToPlaneStartingAtPlane (CrVec, CrPlaneNormalVecAtPlane)	name(String), plane(SpPlaneObject), spt2(SpPointObject)
CreateOrthonormalVector (CrVec, CrOrthoVec)	name(String), spt1(SpPointObject), baseVec(SpVectorObject), planePt(SpPointObject), invertDir(Boolean)

Plane points

Command name	Parameters
CreatePointOnPlane (CrPt, CrPlanePt)	name(String), plane(SpPlaneObject), xp(DoubleF), yp(DoubleF)
CreateOrthoProjPointOnPlane (CrPlanePt, CrPlaneOrthoProjPt)	name(String), basePoint(SpPointObject), plane(SpPlaneObject)
CreatePointOnPlaneFromSpace (CrPt, CrSpPlanePt)	name(String), plane(SpPlaneObject), basePt(SpPointObject)
CreatePointOnPlanePolar (CrPt, CrPlanePolPt)	name(String), plane(SpPlaneObject), radius(DoubleF), theta(DoubleF)
CreatePointOnCircle (CrPt, CrCirclePt)	name(String), circle(SpCircle), alpha(DoubleF), isLimited(Boolean)
CreateLineCircleIntersection (CrInter, CrLineCircleInter)	name(String), line(SpLine), circle(SpCircle), inter1(Boolean)
CreatePlaneLineIntersection (CrInter, CrPlaneLineInter)	name(String), plane(SpPlaneObject), line(SpLine)
CreatePointOnFunction1OnPlane (CrPt, CrFunc1Pt)	name(String), func(SpFunction1OnPlane), xp(DoubleF), isLimited(Boolean)

Plane objects

Command name	Parameters
CreatePlane (CrPlane)	name(String), origin(SpPointObject), xVec(SpVectorObject), yVec(SpVectorObject)
CreatePlaneUsingPoints (CrPlane, CrPlaneUsPts)	name(String), origin(SpPointObject), iPoint(SpPointObject), jPoint(SpPointObject)
CreateParallelPlane (CrPlane, CrParPlane)	name(String), origin(SpPointObject), plane(SpPlaneObject)
CreateOrthonormalPlane (CrPlane, CrOrthoPlane)	name(String), origin(SpPointObject), xVec(SpVectorObject), planePt(SpPointObject), invertDir(Boolean)
CreateOrthogonalPlaneToLine (CrPlane, CrLineOrthoPlane)	name(String), origin(SpPointObject), line(SpLine), alpha(DoubleF)
CreateOrthogonalPlaneToLineUsingPoints (CrPlane, CrLineOrthoPlaneUsPts)	name(String), origin(SpPointObject), line(SpLine), planePt(SpPointObject), inverDir(Boolean)
CreateOrthogonalPlaneToPlane (CrPlane, CrOrthogonalPlane)	name(String), plane(SpPlaneObject), origin(SpPointObject), planePt(SpPointObject), invertDir(Boolean)
CreateOrthogonalPlaneToVector (CrPlane, CrVecOrthoPlane)	name(String), origin(SpPointObject), vector(SpVectorObject), phi(DoubleF)
CreateCircle (CrCircle)	name(String), center(SpPointOnPlaneObject), radius(DoubleF)
CreateCircle (CrCircle)	name(String), center(SpPointOnPlaneObject), radius(DoubleF), min(DoubleF), max(DoubleF)
CreateEllipse (CrCircle, CrEllipse)	name(String), center(SpPointOnPlaneObject), width(DoubleF), height(DoubleF)
CreateEllipse (CrCircle, CrEllipse)	name(String), center(SpPointOnPlaneObject), width(DoubleF), height(DoubleF), min(DoubleF), max(DoubleF), alpha(DoubleF)
CreateCircleUsingPoint (CrCircle, CrCircleUsPt)	name(String), center(SpPointOnPlaneObject), point(SpPointOnPlaneObject)
CreateCircleUsingPoint (CrCircle, CrCircleUsPt)	name(String), center(SpPointOnPlaneObject), point(SpPointOnPlaneObject), min(DoubleF), max(DoubleF)
CreatePlaneSphereIntersection (CrInter, CrPlaneSphInter)	name(String), plane(SpPlaneObject), sphere(SpSphere)
CreatePolygon (CrPoly)	name(String), vertices(SpPointObject[])[Not Empty]
CreatePolygonOnPlane (CrPoly, CrPlanePoly)	name(String), vertices(SpPointOnPlaneObject[])[Not Empty]
CreateRectangle (CrRect, CrPoly)	name(String), center(SpPointOnPlaneObject), width(DoubleF), height(DoubleF), alpha(DoubleF)
CreateRegularPolygonOnPlane (CrPoly, CrRegPoly)	name(String), center(SpPointOnPlaneObject), spt1(SpPointOnPlaneObject), invertDir(Boolean), ptsNb(Int32)

Angles

Command name	Parameters
CreateAngle (CrAngle)	name(String), spt1(SpPointObject), vertex(SpPointObject), spt2(SpPointObject)
CreateAngle (CrAngle)	name(String), size(Double), isOpposite(Boolean), isOriented(Boolean), spt1(SpPointObject), vertex(SpPointObject), spt2(SpPointObject)
CreateAngleOnPlane (CrAngle, CrPlaneAngle)	name(String), size(Double), isOriented(Boolean), spt1(SpPointOnPlaneObject), vertex(SpPointOnPlaneObject), spt2(SpPointOnPlaneObject), onlyPos(Boolean)
CreateFixedAngle (CrAngle, CrFixAngle)	name(String), size(Double), isOriented(Boolean), spt1(SpPointObject), vertex(SpPointObject), planePt(SpPointObject), value(DoubleF)
CreateFixedAngleOnPlane (CrAngle, CrPlaneFixAngle)	name(String), size(Double), isOriented(Boolean), spt1(SpPointOnPlaneObject), vertex(SpPointOnPlaneObject), value(DoubleF)

Transformations

Command name	Parameters
CreateAxialRotation (CrTransf, CrAxialRot)	name(String), lineObj(SpLineObject), alpha(DoubleF)
CreateAxialSymmetry (CrTransf, CrAxialSym)	name(String), lineObj(SpLineObject)
CreateHomothety (CrHomoth, CrTransf)	name(String), center(SpPointObject), ratio(DoubleF)
CreateRotation (CrRot, CrTransf)	name(String), center(SpPointObject), psi(DoubleF), theta(DoubleF), phi(DoubleF)
CreateRotationOfSolid (CrTransf, CrSolidRot)	name(String), solid(SpSolid), psi(DoubleF), theta(DoubleF), phi(DoubleF)
CreateRotationOnPlane (CrTransf, CrPlaneRot)	name(String), center(SpPointOnPlaneObject), alpha(DoubleF)
CreateTranslation (CrTransf, CrTranslation)	name(String), vector(SpVectorObject)

Transformed objects

Command name	Parameters
CreateTrPoint (CrTrPt, CrTrObj)	name(String), baseObj(SpPointObject), transformations(SpTransformationObject[])[Not Empty]
CreateTrPointOnPlane (CrTrObj, CrTrPlanePt)	name(String), baseObj(SpPointOnPlaneObject), transformations(SpTransformationObject[])[Not Empty]
CreateTrSolid (CrTrObj, CrTrSolid)	name(String), baseObj(SpSolid), transformations(SpTransformationObject[])[Not Empty]

Functions

Command name	Parameters
CreateFunction1OnPlane (CrFunc, CrPlaneFunc1)	name(String), plane(SpPlaneObject), minX(DoubleF), maxX(DoubleF), res(Double), tension(Single), formula(String)
CreateFunction2 (CrFunc, CrFunc2)	name(String), minX(DoubleF), maxX(DoubleF), minY(DoubleF), maxY(DoubleF), resX(Double), resY(Double), tension(Single), formula(String)
CreateFunction2OnPlane (CrFunc, CrPlaneFunc2)	name(String), plane(SpPlaneObject), minX(DoubleF), maxX(DoubleF), minY(DoubleF), maxY(DoubleF), resX(Double), resY(Double), tension(Single), formula(String)
CreateFunction3 (CrFunc, CrFunc3)	name(String), minX(DoubleF), maxX(DoubleF), minY(DoubleF), maxY(DoubleF), minZ(DoubleF), maxZ(DoubleF), resX(Double), resY(Double), resZ(Double), tension(Single), formula(String)

Others

Command name	Parameters
CreateCursor (CrCur)	name(String), value(DoubleF)
CreateCursor (CrCur)	name(String), value(DoubleF), min(DoubleF), max(DoubleF)
CreateText (CrText)	name(String), absolute(Boolean), text(String[])[Not Empty]

From other objects

Command name	Parameters
CopyPoint (copyPt)	arg0(String), arg1(SpPoint)
CreatePolygonsFromSolid (crSolidPolys)	solid(SpSolid), polysName(String)
CreateSegmentsFromPolygon (crPolySegs)	poly(SpPolygon), segsName(String)
CreateSegmentsFromSolid (crSolidSegs)	solid(SpSolid), segsName(String)
CreateSystemPoints (crSysPts)	arg0(Boolean)

Base properties

Command name	Parameters
ChangeClipRect	arg0(Int32), arg1(Int32), arg2(Int32), arg3(Int32)
XNorm	arg0(Single)
YNorm	arg0(Single)
ZNorm	arg0(Single)

Drawing looking

Command name	Parameters
AxisWidth (AWidth)	arg0(Single)
CoordinateSystemWidth (CSWidth)	arg0(Single)
DraftScale	arg0(Single)
GraduationsFont	arg0(Font)
GridWidth (GWidth)	arg0(Single)
Phi	arg0(Double)
Rotation	arg0(Double)
Scale	arg0(Single)
ShowAxes	arg0(Int32)
ShowClipRect (ShClip)	arg0(Boolean)
ShowCoordSystem	arg0(Boolean)
ShowGraduations	arg0(Boolean)
ShowXYGrid	arg0(Boolean)
ShowXZGrid	arg0(Boolean)
ShowYZGrid	arg0(Boolean)
Theta	arg0(Double)
XAxisColor (XColor)	arg0(Color)
YAxisColor (YColor)	arg0(Color)
ZAxisColor (ZColor)	arg0(Color)
Zoom	arg0(Int32)

Drawing properties

Command name	Parameters
AutoDraw	arg0(Boolean)
DisplayOrder	(No param)
DisplayOrder	arg0(SpObject[])[Not Empty]
Draw	(No param)
DrawHighQuality	arg0(Boolean)
RecalculateAll	(No param)
ShowInfos (SI)	(No param)

Files

Command name	Parameters
CopyDrawing (Copy)	(No param)
ExportToPng (Export)	arg0(String)
Load	filename(String)
Message (Msg)	arg0(String)
Message (Msg)	(No param)
Save	(No param)
SaveAs	filename(String)

Formula

Command name	Parameters
?FormulaFunctions	arg0(String)
?FormulaFunctions	excludeOverloads(Boolean), text(String)
Calc	arg0(String)
MakeFormulaMan	arg0(Int32), arg1(String)

Internal commands

Command name	Parameters
?	(No param)
?	arg0(String[])[Not Empty]
Ask	cmdName(String)
ChangeConsoleBackColor	arg0(Color)
ChangeConsoleColor	arg0(Color)
ChangeConsoleFont	arg0(Font)
Cls	(No param)
GetCD	(No param)
LoadBatch	arg0(String)
MakeMan	what(Int32), filename(String), showInConsole(Boolean)
MakeMan	what(Int32), filename(String), showInConsole(Boolean), excludePattern(String)
Pause	(No param)
SaveBatch	arg0(String)
SetCD	arg0(String)
ShowPreviousError	(No param)

Manage objects

Command name	Parameters
Delete (Del)	arg0(SpObject[])[Not Empty]
DeleteSelected (DelSel)	(No param)
Extract	objectToExtract(SpObject), newName(String)
Extract	owner(SpObject), nameOrProp(String), newName(String)
ExtractFromParallelepiped (Extract)	objectToExtract(SpParallelepiped), newName(String[])[Not Empty]
ExtractFromPolygon (Extract)	objectToExtract(SpPolygon), newNames(String[])[Not Empty]
ExtractFromTetrahedron (Extract)	objectToExtract(SpRegularTetrahedron), newName(String[])[Not Empty]
Replace	oldObject(SpObject), newObject(SpObject)

Moving modes

Command name	Parameters
Moving (Mov)	(No param)
MovingClipRect (MovClip)	(No param)
MovingCursor (MovCur)	arg0(SpCursor)
MovingLabel (MovLbl)	arg0(SpObject)
MovingLabelParam (MovLblP)	arg0(SpObject)
MovingPoint (MovPt)	arg0(SpPointObject)
MovingScale (MovScale)	(No param)

Object informations

Command name	Parameters
RecalculateObj (Recalc)	arg0(Boolean), arg1(SpObject[])[Not Empty]
ShowAllObjects (all)	(No param)
ShowFunctionArray (ShFuncArr)	min(SpFunction1OnPlane), max(Decimal), resolution(Decimal), arg3(Decimal)
ShowFunctionArray (ShFuncArr)	minX(SpFunction2), maxX(Decimal), resolutionX(Decimal), minY(Decimal), maxY(Decimal), resolutionY(Decimal), arg6(Decimal)
ShowInfos (SI)	arg0(SpObject[])[Not Empty]

Objects properties

Command name	Parameters
ChangeBackColor (BCol)	arg0(Color), arg1(SpObject[])[Empty]
ChangeBmpSphere (ChBmpSph)	arg0(SpSphere)
ChangeBmpSphere (ChBmpSph)	name(SpSphere), convertToGray(Boolean), light(Decimal), alpha(Byte), red(Decimal), green(Decimal), blue(Decimal)
ChangeBrushStyle (BStyle)	arg0(BrushStyle), arg1(SpObject[])[Empty]
ChangeColor (Col)	arg0(Color), arg1(SpObject[])[Empty]
ChangeDashStyle (DStyle)	arg0(DashStyle), arg1(SpObject[])[Empty]
ChangeEdgeColor (ECol)	arg0(Color), arg1(SpObject[])[Empty]
ChangeHatchColor (HCol)	arg0(Color), arg1(SpObject[])[Empty]
ChangeHatchStyle (HStyle)	arg0(HatchStyle), arg1(SpObject[])[Empty]
ChangeLabelCoords (LblCoords)	arg0(SpObject), arg1(Int32), arg2(Int32)
ChangeLabelFont (LblFont)	arg0(Font), arg1(SpObject[])[Empty]
ChangeLabelParam (LblP)	arg0(SpObject), arg1(Double)
ChangePointShape (PtShape)	arg0(PointShape), arg1(SpObject[])[Empty]
ChangeProperties (Props)	(No param)
ChangeProperties (Props)	arg0(Boolean)
ChangeWidth (Widh)	arg0(Single), arg1(SpObject[])[Empty]
Hide	arg0(Boolean), arg1(SpObject[])[Empty]
Rename (Ren)	arg0(SpObject), arg1(String)
ShowName (ShName)	arg0(Boolean), arg1(SpObject[])[Empty]
ShowUndefinedObjects (ShUndef)	(No param)
UseBmpSphere (UseBmpSph)	arg0(SpSphere), arg1(Boolean)

Selection

Command name	Parameters
AppendToSelection (App)	arg0(SpObject[])[Not Empty]
Deselect (Des)	arg0(SpObject[])[Not Empty]
DeselectAll (DesAll)	(No param)
Select (Sel)	arg0(SpObject[])[Not Empty]
SelectAll (SelAll)	(No param)
SelectedList (SelList)	(No param)

System

Command name	Parameters
Cancel	(No param)
ChangeDecimalPlaces	arg0(Byte)
ChangeIncrements (chIncr)	(No param)
ChangeIncrements (chIncr)	SystemCoordsBig(Int32), SystemCoordsLittle(Int32), ScaleBig(Double), ScaleLittle(Double), LabelBig(Int32), LabelLittle(Int32), LblParamBig(Int32), LblParamLittle(Int32), ClipRectBig(Double), ClipRectLittle(Double), PointBig(Int32), PointLittle(Int32), AngleBig(Double), AngleLittle(Double), arg14(Double), arg15(Double)
DisplayTypes	arg0(Int32)
EnlargeText (Big)	(No param)
Exit (Quit)	(No param)
GC	(No param)
New	(No param)
Restore	(No param)
SaveInHistory (SaveHist)	(No param)
ShowCalculationResult (ShCalcRes)	arg0(Boolean)
ShowDrawingMessages (ShDrawMsg)	arg0(Boolean)
ShowInfos	arg0(Boolean)
SuspendCalculation	arg0(Boolean)

View properties

Command name	Parameters
CenterOrigin	(No param)
ChangeView (View)	arg0(SpPlaneObject)
	arg0(ViewType)
	arg0(SpPointObject), arg1(SpPointObject), arg2(SpPointObject)
OriginOnWindow	arg0(Int32), arg1(Int32)
TranslateOrigin	arg0(Int32), arg1(Int32)

Alter objects

Command name	Parameters
Alter (alt)	arg0(SpObject)

Space points

Command name	Parameters
AlterPoint (AltPt)	objName(String), x(DoubleF), y(DoubleF), z(DoubleF)
AlterMidpoint (AltPt, AltMidpt)	objName(String), spt1(SpPointObject), spt2(SpPointObject)
AlterBarycenter (AltPt, AltBar)	objName(String), wpoints(WeightedPoint[])[Not Empty]
AlterLinesIntersection (AltInter, AltLinesInter)	objName(String), line1(SpLine), line2(SpLine)
AlterLineSphereIntersection (AltInter, AltLineSphInter)	objName(String), line(SpLine), sphere(SpSphere), inter1(Boolean)
AlterOrthoProjPointOnLine (AltPt, AltLineOrthoProjPt)	objName(String), basePoint(SpPointObject), line(SpLine)
AlterPointOnFunction2 (AltPt, AltFunc2Pt)	objName(String), func(SpFunction2), x(DoubleF), y(DoubleF), isLimited(Boolean)
AlterPointOnLine (AltPt, AltLinePt)	objName(String), line(SpLine), tParam(DoubleF)
AlterPointOnSphere (AltPt, AltSphPt)	objName(String), sphere(SpSphere), lambda(DoubleF), phi(DoubleF)
AlterPointPolar (AltPt, AltPolPt)	objName(String), radius(DoubleF), lambda(DoubleF), phi(DoubleF)
AlterPointPolar3UsingCoords (AltPt, AltPol3Pt, AltPol3PtUsCoords)	objName(String), radius(DoubleF), psi(DoubleF), theta(DoubleF), phi(DoubleF)
	objName(String), psi(DoubleF), theta(DoubleF), phi(DoubleF), xs(DoubleF), ys(DoubleF), zs(DoubleF)
AlterImagePoint (AltPt, AltImgPt)	objName(String), spt(SpPointObject), vect(SpVectorObject)

Space objects

Command name	Parameters
AlterCone (AltCone, AltSolid)	objName(String), vertex(SpPointObject), baseCircle(SpCircle)
AlterCubeOnPlane (AltSolid, AltPlaneCube)	objName(String), spt1(SpPointOnPlaneObject), spt2(SpPointOnPlaneObject), invertOnPlane(Boolean), invertInSpace(Boolean)
AlterParallelepiped (AltCube, AltSolid)	objName(String), center(SpPointObject), length(DoubleF), width(DoubleF), heigth(DoubleF), psi(DoubleF), theta(DoubleF), phi(DoubleF)
AlterRegularTetrahedron (AltTetra, AltSolid)	objName(String), center(SpPointObject), edgeLength(DoubleF), psi(DoubleF), theta(DoubleF), phi(DoubleF)
AlterRegularTetrahedronOnPlane (AltSolid, AltPlaneTetra)	objName(String), spt1(SpPointOnPlaneObject), spt2(SpPointOnPlaneObject), invertOnPlane(Boolean), invertInSpace(Boolean)
AlterSolid (AltSolid)	objName(String), vertices(SpPointObject[])[Not Empty], faces(SpPointObject[][])[Not Empty]
AlterSolidWithCenter (AltSolid, AltCenteredSolid)	objName(String), center(SpPointObject), vertices(SpPointObject[])[Not Empty], faces(SpPointObject[][])[Not Empty]
AlterSphere (AltSph)	objName(String), center(SpPointObject), radius(DoubleF)
AlterSphereUsingPoint (AltSph, AltSphUsPt)	objName(String), center(SpPointObject), point(SpPointObject)

Lines

Command name	Parameters
AlterLine (AltLine)	objName(String), spt1(SpPointObject), spt2(SpPointObject)
AlterLineUsingVector (AltLine, AltLineUsVec)	objName(String), spt1(SpPointObject), vec(SpVectorObject)
AlterParallelLine (AltParLine)	objName(String), spt1(SpPointObject), baseLine(SpLine)
AlterPerpendicularLine (AltPerLine)	objName(String), spt2(SpPointObject), baseLine(SpLine)
AlterPerpendicularLineToPlane (AltPerLine, AltPlanePerLine)	objName(String), spt1(SpPointObject), basePlane(SpPlaneObject)
AlterRay (AltRay)	objName(String), spt1(SpPointObject), spt2(SpPointObject)
AlterSegment (AltSeg)	objName(String), spt1(SpPointObject), spt2(SpPointObject)
AlterPlanesIntersection (AltInter, AltPlanesInter)	objName(String), plane1(SpPlaneObject), plane2(SpPlaneObject)
AlterAngleBissector (AltBiss, AltLine)	objName(String), angle(SpAngle)
AlterCircleTangent (AltLine, AltCircleTan)	objName(String), circle(SpCircle), ptOnCircle(SpPointOnPlaneObject)
AlterFunction1OnPlanTangent (AltLine, AltFunc1Tan)	objName(String), function(SpFunction1OnPlane), ptOnFunc(SpPointOnPlaneObject)
AlterPlanePolygonIntersection (AltInter, AltPlanePolyInter)	objName(String), plane(SpPlaneObject), polygon(SpPolygon)

Vectors

Command name	Parameters
AlterVectorUsingPoints (AltVec, AltVecUsPts)	objName(String), spt1(SpPointObject), spt2(SpPointObject)
AlterVectorUsingCoords (AltVec, AltVectUsCoords)	objName(String), spt1(SpPointObject), x(DoubleF), y(DoubleF), z(DoubleF)
AlterSpVectorUsingPointsAndOrigin (AltVec, AltVecUsPtsAndOrig)	objName(String), spt1(SpPointObject), basePt1(SpPointObject), basePt2(SpPointObject)
AlterVectorUsingPointsAndCoeff (AltVec, AltVecUsPtsCoeff)	objName(String), coeff(DoubleF), basePt1(SpPointObject), basePt2(SpPointObject)
AlterVectorUsingPointsAndCoeff (AltVec, AltVecUsPtsCoeff)	objName(String), spt1(SpPointObject), coeff(DoubleF), basePt1(SpPointObject), basePt2(SpPointObject)
AlterVectorUsingMultiply (AltVec, AltVecUsMul)	objName(String), spt1(SpPointObject), coeff(DoubleF), vec(SpVectorObject)
AlterVectorUsingSum (AltVec, AltVecUsSum)	objName(String), spt1(SpPointObject), baseVectors(SpVectorObject[])[Not Empty]
AlterNormalVectorToLine (AltVec, AltLineNormalVec)	objName(String), spt1(SpPointObject), line(SpLine), planePt(SpPointObject), invertDir(Boolean)
AlterNormalVectorToLineStartingAtLine (AltVec, AltLineNormalVecAtLine)	objName(String), line(SpLine), spt2(SpPointObject)
AlterNormalVectorToPlane (AltVec, AltPlaneNormalVec)	objName(String), spt1(SpPointObject), plane(SpPlaneObject), invertDir(Boolean)
AlterNormalVectorToPlaneStartingAtPlane (AltVec, AltPlaneNormalVecAtPlane)	objName(String), plane(SpPlaneObject), spt2(SpPointObject)
AlterOrthonormalVector (AltVec, AltOrthoVec)	objName(String), spt1(SpPointObject), baseVec(SpVectorObject), planePt(SpPointObject), invertDir(Boolean)

Plane points

Command name	Parameters
AlterPointOnPlane (AltPt, AltPlanePt)	objName(String), plane(SpPlaneObject), xp(DoubleF), yp(DoubleF)
AlterPointOnPlaneFromSpace (AltPt, AltSpPlanePt)	objName(String), plane(SpPlaneObject), basePt(SpPointObject)
AlterPointOnPlanePolar (AltPt, AltPlanePolPt)	objName(String), plane(SpPlaneObject), radius(DoubleF), theta(DoubleF)
AlterLineCircleIntersection (AltInter, AltLineCircleInter)	objName(String), line(SpLine), circle(SpCircle), inter1(Boolean)
AlterOrthoProjPointOnPlane (AltPlanePt, AltPlaneOrthoProjPt)	objName(String), basePoint(SpPointObject), plane(SpPlaneObject)
AlterPlaneLineIntersection (AltInter, AltPlaneLineInter)	objName(String), plane(SpPlaneObject), line(SpLine)
AlterPointOnCircle (AltPt, AltCirclePt)	objName(String), circle(SpCircle), alpha(DoubleF), isLimited(Boolean)
AlterPointOnFunction1OnPlane (AltPt, AltFunc1Pt)	objName(String), func(SpFunction1OnPlane), xp(DoubleF), isLimited(Boolean)

Plane objects

Command name	Parameters
AlterPlane (AltPlane)	objName(String), origin(SpPointObject), xVec(SpVectorObject), yVec(SpVectorObject)
AlterPlaneUsingPoints (AltPlane, AltPlaneUsPts)	objName(String), origin(SpPointObject), iPoint(SpPointObject), jPoint(SpPointObject)
AlterParallelPlane (AltPlane, AltParPlane)	objName(String), origin(SpPointObject), plane(SpPlaneObject)
AlterOrthonormalPlane (AltPlane, AltOrthoPlane)	objName(String), origin(SpPointObject), xVec(SpVectorObject), planePt(SpPointObject), invertDir(Boolean)
AlterOrthogonalPlaneToLine (AltPlane, AltLineOrthoPlane)	objName(String), origin(SpPointObject), line(SpLine), alpha(DoubleF)
AlterOrthogonalPlaneToLineUsingPoints (AltPlane, AltLineOrthoPlaneUsPts)	objName(String), origin(SpPointObject), line(SpLine), planePt(SpPointObject), invertDir(Boolean)
AlterOrthogonalPlaneToPlane (AltPlane, AltOrthogonalPlane)	objName(String), plane(SpPlaneObject), origin(SpPointObject), planePt(SpPointObject), invertDir(Boolean)
AlterOrthogonalPlaneToVector (AltPlane, AltVecOrthoPlane)	objName(String), origin(SpPointObject), vector(SpVectorObject), phi(DoubleF)
AlterCircle (AltCircle)	objName(String), center(SpPointOnPlaneObject), radius(DoubleF)
AlterCircle (AltCircle)	objName(String), center(SpPointOnPlaneObject), radius(DoubleF), min(DoubleF), max(DoubleF)
AlterCircleUsingPoint (AltCircle, AltCircleUsPt)	objName(String), center(SpPointOnPlaneObject), point(SpPointOnPlaneObject)
AlterCircleUsingPoint (AltCircle, AltCircleUsPt)	objName(String), center(SpPointOnPlaneObject), point(SpPointOnPlaneObject), min(DoubleF), max(DoubleF)
AlterEllipse (AltCircle, AltEllipse)	objName(String), center(SpPointOnPlaneObject), width(DoubleF), height(DoubleF)
AlterEllipse (AltCircle, AltEllipse)	objName(String), center(SpPointOnPlaneObject), width(DoubleF), height(DoubleF), min(DoubleF), max(DoubleF), alpha(DoubleF)
AlterPlaneSphereIntersection (AltInter, AltPlaneSphInter)	objName(String), plane(SpPlaneObject), sphere(SpSphere)
AlterPolygon (AltPoly)	objName(String), vertices(SpPointObject[])[Not Empty]
AlterPolygonOnPlane (AltPoly, AltPlanePoly)	objName(String), vertices(SpPointOnPlaneObject[])[Not Empty]
AlterRectangle (AltRect, AltPoly)	objName(String), center(SpPointOnPlaneObject), width(DoubleF), height(DoubleF), alpha(DoubleF)
AlterRegularPolygonOnPlane (AltPoly, AltRegPoly)	objName(String), center(SpPointOnPlaneObject), spt1(SpPointOnPlaneObject), invertDir(Boolean)

Angles

Command name	Parameters
AlterAngle (AltAngle)	objName(String), spt1(SpPointObject), vertex(SpPointObject), spt2(SpPointObject)
AlterAngle (AltAngle)	objName(String), size(Double), isOpposite(Boolean), isOriented(Boolean), spt1(SpPointObject), vertex(SpPointObject), spt2(SpPointObject)
AlterAngleOnPlane (AltAngle, AltPlaneAngle)	objName(String), size(Double), isOriented(Boolean), spt1(SpPointOnPlaneObject), vertex(SpPointOnPlaneObject), spt2(SpPointOnPlaneObject), onlyPos(Boolean)
AlterFixedAngle (AltAngle, AltFixAngle)	objName(String), size(Double), isOriented(Boolean), spt1(SpPointObject), vertex(SpPointObject), planePt(SpPointObject), value(DoubleF)
AlterFixedAngleOnPlane (AltAngle, AltPlaneFixAngle)	objName(String), size(Double), isOriented(Boolean), spt1(SpPointOnPlaneObject), vertex(SpPointOnPlaneObject), value(DoubleF)

Transformations

Command name	Parameters
AlterAxialRotation (AltTransf, AltAxialRot)	objName(String), lineObj(SpLineObject), alpha(DoubleF)
AlterAxialSymmetry (AltTransf, AltAxialSym)	objName(String), lineObj(SpLineObject)
AlterHomothety (AltHomoth, AltTransf)	objName(String), center(SpPointObject), ratio(DoubleF)
AlterRotation (AltRot, AltTransf)	objName(String), center(SpPointObject), psi(DoubleF), theta(DoubleF), phi(DoubleF)
AlterRotationOfSolid (AltTransf, AltSolidRot)	objName(String), solid(SpSolid), psi(DoubleF), theta(DoubleF), phi(DoubleF)
AlterRotationOnPlane (AltTransf, AltPlaneRot)	objName(String), center(SpPointOnPlaneObject), alpha(DoubleF)
AlterTranslation (AltTransf, AltTranslation)	objName(String), vector(SpVectorObject)

Transformed objects

Command name	Parameters
AlterTrPoint (AltTrPt, AltTrObj)	objName(String), baseObj(SpPointObject), transformations(SpTransformationObject[])[Not Empty]
AlterTrPointOnPlane (AltTrObj, AltTrPlanePt)	objName(String), baseObj(SpPointOnPlaneObject), transformations(SpTransformationObject[])[Not Empty]
AlterTrSolid (AltTrObj, AltTrSolid)	objName(String), baseObj(SpSolid), transformations(SpTransformationObject[])[Not Empty]

Functions

Command name	Parameters
AlterFunction1OnPlane (AltFunc, AltPlaneFunc1)	objName(String), plane(SpPlaneObject), minX(DoubleF), maxX(DoubleF), resX(Double), tension(Single), formula(String)
AlterFunction2 (AltFunc, AltFunc2)	objName(String), minX(DoubleF), maxX(DoubleF), minY(DoubleF), maxY(DoubleF), resX(Double), resY(Double), tension(Single), formula(String)
AlterFunction2OnPlane (AltFunc, AltPlaneFunc2)	objName(String), plane(SpPlaneObject), minX(DoubleF), maxX(DoubleF), minY(DoubleF), maxY(DoubleF), resX(Double), resY(Double), tension(Single), formula(String)
AlterFunction3 (AltFunc, AltFunc3)	objName(String), minX(DoubleF), maxX(DoubleF), minY(DoubleF), maxY(DoubleF), minZ(DoubleF), maxZ(DoubleF), resX(Double), resY(Double), resZ(Double), tension(Single), formula(String)

Others

Command name	Parameters
AlterCursor (AltCur)	objName(String), value(DoubleF)
AlterCursor (AltCur)	objName(String), value(DoubleF), min(DoubleF), max(DoubleF)
AlterText (AltText)	objName(String), absolute(Boolean), text(String[])[Not Empty]

Get objects

Space points

Command name	Parameters
GetBar	name(String)
GetFunc2Pt	name(String)
GetImgPt	name(String)
GetLineOrthoProjPt	name(String)
GetLinePt	name(String)
GetLinesInter	name(String)
GetLineSphInter	name(String)
GetMidpt	name(String)
GetPol3Pt	name(String)
GetPol3PtUsCoords	name(String)
GetPolPt	name(String)
GetPt	name(String)
GetPtObj	name(String)
GetSphPt	name(String)

Space objects

Command name	Parameters
GetCenteredSolid	name(String)
GetCone	name(String)
GetCube	name(String)
GetPlaneCube	name(String)
GetPlaneTetra	name(String)
GetSolid	name(String)
GetSph	name(String)
GetSphUsPt	name(String)
GetTetra	name(String)

Lines

Command name	Parameters
GetBiss	name(String)
GetCircleTan	name(String)
GetFunc1Tan	name(String)
GetLine	name(String)
GetLineObj	name(String)
GetLineUsVec	name(String)
GetParLine	name(String)
GetPerLine	name(String)
GetPlanePerLine	name(String)
GetPlanePolyInter	name(String)
GetPlanesInter	name(String)
GetRay	name(String)
GetSeg	name(String)

Vectors

Command name	Parameters
GetLineNormalVec	name(String)
GetLineNormalVecAtLine	name(String)
GetOrthoVec	name(String)
GetPlaneNormalVec	name(String)
GetPlaneNormalVecAtPlane	name(String)
GetVecObj	name(String)
GetVectUsCoords	name(String)
GetVecUsMul	name(String)
GetVecUsPts	name(String)
GetVecUsPtsAndOrig	name(String)
GetVecUsPtsCoeff	name(String)
GetVecUsSum	name(String)

Plane points

Command name	Parameters
GetCirclePt	name(String)
GetFunc1Pt	name(String)
GetLineCircleInter	name(String)
GetPlaneLineInter	name(String)
GetPlaneOrthoProjPt	name(String)
GetPlanePolPt	name(String)
GetPlanePt	name(String)
GetPlanePtObj	name(String)
GetSpPlanePt	name(String)

Plane objects

Command name	Parameters
GetCircle	name(String)
GetCircleUsPt	name(String)
GetEllipse	name(String)
GetLineOrthoPlane	name(String)
GetLineOrthoPlaneUsPts	name(String)
GetOrthogonalPlane	name(String)
GetOrthoPlane	name(String)
GetParPlane	name(String)
GetPlane	name(String)
GetPlaneObj	name(String)
GetPlanePoly	name(String)
GetPlaneSphInter	name(String)
GetPlaneUsPts	name(String)
GetPoly	name(String)
GetRect	name(String)
GetRegPoly	name(String)
GetVecOrthoPlane	name(String)

Angles

Command name	Parameters
GetAngle	name(String)
GetFixAngle	name(String)
GetPlaneAngle	name(String)
GetPlaneFixAngle	name(String)

Transformations

Command name	Parameters
GetAxialRot	name(String)
GetAxialSym	name(String)
GetHomoth	name(String)
GetPlaneRot	name(String)
GetRot	name(String)
GetSolidRot	name(String)
GetTransf	name(String)
GetTranslation	name(String)

Transformed objects

Command name	Parameters
GetTrPlanePt	name(String)
GetTrPt	name(String)
GetTrSolid	name(String)

Functions

Command name	Parameters
GetFunc2	name(String)
GetFunc3	name(String)
GetFuncObj	name(String)
GetPlaneFunc1	name(String)
GetPlaneFunc2	name(String)

Object

Command name	Parameters
GetObj	name(String)

Others

Command name	Parameters
GetCur	name(String)
GetText	name(String)

Get properties

Angles

Command name	Parameters
Angle_Point1	obj(SpAngle)
Angle_Point2	obj(SpAngle)
Angle_PointForBissector	obj(SpAngle)
Angle_RadValue	obj(SpAngle)
Angle_Vertex	obj(SpAngle)
FixAngle_PlanePoint	obj(SpFixedAngle)
PlaneAngle_Plane	obj(SpAngleOnPlane)

Functions

Command name	Parameters
FuncObj_MaxX	obj(SpFunctionObject)
FuncObj_MaxY	obj(SpFunctionObject)
FuncObj_MaxZ	obj(SpFunctionObject)
FuncObj_MinX	obj(SpFunctionObject)
FuncObj_MinY	obj(SpFunctionObject)
FuncObj_MinZ	obj(SpFunctionObject)
PlaneFunc1_Plane	obj(SpFunction1OnPlane)
PlaneFunc2_Plane	obj(SpFunction2OnPlane)
GetPropObj	obj(SpObject), propName(String)

Lines

Command name	Parameters
Biss_Angle	obj(SpAngleBissector)
CircleTan_Circle	obj(SpCircleTangent)
Func1Tan_Function	obj(SpFunction1OnPlaneTangent)
Length	obj(SpSegment)
Length	name(String)
Line_Vector	obj(SpLine)
LineObj_Point1	obj(SpLineObject)
LineObj_Point2	obj(SpLineObject)
LineUsVec_BaseVector	obj(SpLineUsingVector)
ParLine_BaseLine	obj(SpParallelLine)
PerLine_BaseLine	obj(SpPerpendicularLine)
PlanePerLine_Plane	obj(SpPerpendicularLineToPlane)
PlanePolyInter_Plane	obj(SpPlanePolygonIntersection)
PlanePolyInter_Polygon	obj(SpPlanePolygonIntersection)
PlanesInter_Plane1	obj(SpPlanesIntersection)
PlanesInter_Plane2	obj(SpPlanesIntersection)
Seg_Length	obj(SpSegment)

Others

Command name	Parameters
Cur	obj(SpCursor)
Cur	name(String)
Cur_Value	obj(SpCursor)
Text_Text	obj(SpText)

Owned objects

Command name	Parameters
GetOwnedObj	ownerName(String), ownedIndex(Int32)
	ownerName(String), ownedName(String)
	owner(SpObject), ownedName(String)

Plane objects

Command name	Parameters
Circle_Center	obj(SpCircle)
Circle_Max	obj(SpCircle)
Circle_Min	obj(SpCircle)
Circle_Plane	obj(SpCircle)
Circle_Radius	obj(SpCircle)
CircleUsPt_Point	obj(SpCircleUsingPoint)
Ellipse_Alpha	obj(SpEllipse)
Ellipse_EllipseHeight	obj(SpEllipse)
Ellipse_EllipseWidth	obj(SpEllipse)
LineOrthoPlane_Line	obj(SpOrthogonalPlaneToLine)
LineOrthoPlaneUsPts_Line	obj(SpOrthogonalPlaneToLineUsingPoints)
LineOrthoPlaneUsPts_PlanePoint	obj(SpOrthogonalPlaneToLineUsingPoints)
OrthogonalPlane_BasePlane	obj(SpOrthogonalPlaneToPlane)
OrthogonalPlane_PlanePoint	obj(SpOrthogonalPlaneToPlane)
OrthoPlane_BaseXVector	obj(SpOrthonormalPlane)
OrthoPlane_PlanePoint	obj(SpOrthonormalPlane)
ParPlane_BasePlane	obj(SpParallelPlane)
Plane_BaseXVector	obj(SpPlane)
Plane_BaseYVector	obj(SpPlane)
PlaneObj_NormalVectorCoords	obj(SpPlaneObject)
PlaneObj_Origin	obj(SpPlaneObject)
PlaneObj_XVector	obj(SpPlaneObject)
PlaneObj_YVector	obj(SpPlaneObject)
PlanePoly_Plane	obj(SpPolygonOnPlane)
PlaneSphInter_Sphere	obj(SpPlaneSphereIntersection)
PlaneUsPts_BaseIPoint	obj(SpPlaneUsingPoints)
PlaneUsPts_BaseJPoint	obj(SpPlaneUsingPoints)
Poly_Area	obj(SpPolygon)
Poly_Perimeter	obj(SpPolygon)
Radius	obj(SpCircle)
Rect_Alpha	obj(SpRectangleOnPlane)
Rect_Center	obj(SpRectangleOnPlane)
Rect_Height	obj(SpRectangleOnPlane)
Rect_Width	obj(SpRectangleOnPlane)
RegPoly_Center	obj(SpRegularPolygonOnPlane)
RegPoly_Point1	obj(SpRegularPolygonOnPlane)
RegPoly_PointsNumber	obj(SpRegularPolygonOnPlane)
VecOrthoPlane_Alpha	obj(SpOrthogonalPlaneToVector)
VecOrthoPlane_Vector	obj(SpOrthogonalPlaneToVector)

Plane points

Command name	Parameters
CirclePt_Alpha	obj(SpPointOnCircle)
CirclePt_Circle	obj(SpPointOnCircle)
Func1Pt_Function	obj(SpPointOnFunction1OnPlane)
LineCircleInter_Circle	obj(SpLineCircleIntersection)
LineCircleInter_Line	obj(SpLineCircleIntersection)
PlaneLineInter_Line	obj(SpPlaneLineIntersection)
PlaneOrthoProjPt_BasePoint	obj(SpOrthoProjPointOnPlane)
PlanePolPt_Radius	obj(SpPointOnPlanePolar)
PlanePolPt_Theta	obj(SpPointOnPlanePolar)
PlanePtObj_CoordinatesOnPlane	obj(SpPointOnPlaneObject)
PlanePtObj_Plane	obj(SpPointOnPlaneObject)
PlanePtObj_XOnPlane	obj(SpPointOnPlaneObject)
PlanePtObj_YOnPlane	obj(SpPointOnPlaneObject)
SpPlanePt_BasePoint	obj(SpPointOnPlaneFromSpace)
Radius	name(String)

Space objects

Command name	Parameters
Cone_BaseCircle	obj(SpCone)
Cone_Vertex	obj(SpCone)
Cube_Height	obj(SpParallelepiped)
Cube_Length	obj(SpParallelepiped)
Cube_Width	obj(SpParallelepiped)
PlaneCube_Plane	obj(SpCubeOnPlane)
PlaneCube_Point1	obj(SpCubeOnPlane)
PlaneCube_Point2	obj(SpCubeOnPlane)
PlaneTetra_Plane	obj(SpRegularTetrahedronOnPlane)
PlaneTetra_Point1	obj(SpRegularTetrahedronOnPlane)
PlaneTetra_Point2	obj(SpRegularTetrahedronOnPlane)
Radius	obj(SpSphere)
Solid_Center	obj(SpSolid)
Sph_Center	obj(SpSphere)
Sph_Radius	obj(SpSphere)
SphUsPt_Point	obj(SpSphereUsingPoint)
Tetra_EdgeLength	obj(SpRegularTetrahedron)

Space points

Command name	Parameters
Bar_Mass	obj(SpBarycenter)
Func2Pt_Function	obj(SpPointOnFunction2)
ImgPt_BasePoint	obj(SpImagePoint)
ImgPt_Vector	obj(SpImagePoint)
LineOrthoProjPt_BasePoint	obj(SpOrthoProjPointOnLine)
LineOrthoProjPt_Line	obj(SpOrthoProjPointOnLine)
LinePt_BaseLine	obj(SpPointOnLine)
LinePt_TParam	obj(SpPointOnLine)
LinesInter_Line1	obj(SpLinesIntersection)
LinesInter_Line2	obj(SpLinesIntersection)
LineSphInter_Line	obj(SpLineSphereIntersection)
LineSphInter_Sphere	obj(SpLineSphereIntersection)
Midpt_Point1	obj(SpMidpoint)
Midpt_Point2	obj(SpMidpoint)
Pol3Pt_Phi	obj(SpPointPolar3)
Pol3Pt_Psi	obj(SpPointPolar3)
Pol3Pt_Radius	obj(SpPointPolar3)
Pol3Pt_Theta	obj(SpPointPolar3)
Pol3PtUsCoords_Phi	obj(SpPointPolar3UsingCoords)
Pol3PtUsCoords_Psi	obj(SpPointPolar3UsingCoords)
Pol3PtUsCoords_Theta	obj(SpPointPolar3UsingCoords)
Pol3PtUsCoords_XStart	obj(SpPointPolar3UsingCoords)
Pol3PtUsCoords_YStart	obj(SpPointPolar3UsingCoords)
Pol3PtUsCoords_ZStart	obj(SpPointPolar3UsingCoords)
PolPt_Lambda	obj(SpPointPolar)
PolPt_Phi	obj(SpPointPolar)
PolPt_Radius	obj(SpPointPolar)
PtObj_Coordinates	obj(SpPointObject)
PtObj_X	obj(SpPointObject)
PtObj_Y	obj(SpPointObject)
PtObj_Z	obj(SpPointObject)
SphPt_Lambda	obj(SpPointOnSphere)
SphPt_Phi	obj(SpPointOnSphere)
SphPt_Sphere	obj(SpPointOnSphere)
X	obj(SpPointObject)
Y	obj(SpPointObject)
Z	obj(SpPointObject)

Transformations

Command name	Parameters
AxialRot_Alpha	obj(SpAxialRotation)
AxialRot_BaseLineObject	obj(SpAxialRotation)
AxialRot_Vector	obj(SpAxialRotation)
AxialSym_BaseLineObject	obj(SpAxialSymmetry)
AxialSym_Vector	obj(SpAxialSymmetry)
Homoth_Center	obj(SpHomothety)
Homoth_Ratio	obj(SpHomothety)
PlaneRot_Alpha	obj(SpRotationOnPlane)
PlaneRot_Center	obj(SpRotationOnPlane)
PlaneRot_Plane	obj(SpRotationOnPlane)
Rot_Center	obj(SpRotation)
Rot_Phi	obj(SpRotation)
Rot_Psi	obj(SpRotation)
Rot_Theta	obj(SpRotation)
SolidRot_Solid	obj(SpRotationOfSolid)
Translation_Vector	obj(SpTranslation)

Transformed objects

Command name	Parameters
TrPlanePt_BaseObject	obj(SpTrPointOnPlane)
TrPt_BaseObject	obj(SpTrPoint)
TrSolid_BaseObject	obj(SpTrSolid)

Vectors

Command name	Parameters
LineNormalVec_BaseLine	obj(SpNormalVectorToLine)
LineNormalVecAtLine_BaseLine	obj(SpNormalVectorToLineStartingAtLine)
Norm	obj(SpVectorObject)
Norm	name(String)
OrthoVec_BaseVector	obj(SpOrthonormalVector)
OrthoVec_PlanePoint	obj(SpOrthonormalVector)
PlaneNormalVec_Plane	obj(SpNormalVectorToPlane)
PlaneNormalVecAtPlane_Plane	obj(SpNormalVectorToPlaneStartingAtPlane)
VecObj_Coordinates	obj(SpVectorObject)
VecObj_Norm	obj(SpVectorObject)
VecObj_X	obj(SpVectorObject)
VecObj_Y	obj(SpVectorObject)
VecObj_Z	obj(SpVectorObject)
VecUsMul_BaseVector	obj(SpVectorUsingMultiply)
VecUsMul_Coefficient	obj(SpVectorUsingMultiply)
VecUsPtsAndOrig_BasePoint1	obj(SpVectorUsingPointsAndOrigin)
VecUsPtsAndOrig_BasePoint2	obj(SpVectorUsingPointsAndOrigin)
VecUsPtsCoeff_Coefficient	obj(SpVectorUsingPointsAndCoeff)
X	obj(SpVectorObject)
Y	obj(SpVectorObject)
Z	obj(SpVectorObject)
X	name(String)
Y	name(String)
Z	name(String)

Internal maths functions

Get object

Command name	Parameters
Coords	x(Double), y(Double), z(Double)
Coords	x(Double), y(Double)
GetBool	value(Int32)
GetDecF	nb(Double)
GetDecF	s(String)
GetDF	nb(Double)
GetDF	s(String)
GetDFVal	nb(DoubleF)
ToStr	o(Object)

Get property

Command name	Parameters
CoordsX	coords(Coord3D)
CoordsX	coords(Coord2D)
CoordsY	coords(Coord3D)
CoordsY	coords(Coord2D)
CoordsZ	coords(Coord3D)

General

Command name	Parameters
Abs	value(Double)
Abs	value(Decimal)
Acos	d(Double)
Asin	d(Double)
Atan	d(Double)
Cos	d(Double)
Sin	a(Double)
Sqrt	d(Double)
Tan	a(Double)
Truncate	d(Double)
Truncate	d(Decimal)

Geometry

Command name	Parameters
Pi	(no param)
ToDeg	rad(Double)
ToRad	deg(Double)

Algebra

Command name	Parameters
SolveTrinomial	a(Double), b(Double), c(Double), retSupSol(Boolean), retOnlySol(Boolean)

Arithmetic

Command name	Parameters
Int	a(Double)
Int	a(Decimal)

Statements

Command name	Parameters
And	tests(Boolean[])
Approx	x(Double)
Approx	x(Decimal)
If	c(Boolean), valTrue(Double), valFalse(Double)
	c(Boolean), valTrue(Decimal), valFalse(Decimal)
	c(Boolean), valTrue(Object), valFalse(Object)
Or	tests(Boolean[])

Other functions

Command name	Parameters
AreAligned	spt1(SpPointObject), spt2(SpPointObject), spt3(SpPointObject)
AreCollinear	vec1(SpVectorObject), vec2(SpVectorObject)
AreCollinear	vec1(Coord3D), vec2(Coord3D)
AreCoplanar	pts(Coord3D[])
	vec1(SpVectorObject), vec2(SpVectorObject), vec3(SpVectorObject)
	vec1(Coord3D), vec2(Coord3D), vec3(Coord3D)
AreOrthogonal	vec1(SpVectorObject), vec2(SpVectorObject)
AreOrthogonal	vec1(Coord3D), vec2(Coord3D)
AreParallel	line1(SpLine), line2(SpLine)
AreParallel	plane1(Eq3Zero), plane2(Eq3Zero)
ChangeCoordinatesSystem	OOp(Coord2D), OpIp(Coord2D), OpJp(Coord2D), OA(Coord2D)
Get2DFrom3DCoords	pt(Coord3D), origin(Coord3D), vec1(Coord3D), vec2(Coord3D)
Get3DFrom2DCoords	pt(Coord2D), origin(Coord3D), vec1(Coord3D), vec2(Coord3D)
GetAngleMeasure	vertex(Coord3D), spt1(Coord3D), spt2(Coord3D), value(Boolean), rad(Boolean)
GetAngleMeasure	vec1(Coord3D), vec2(Coord3D), value(Boolean), rad(Boolean)
GetAxialRotationPtCoords	lineOrigin(Coord3D), lineVec(Coord3D), basePt(Coord3D), radValue(Double)
GetBarycenterCoords	points(Coord3D[]), weights(Double[]), mass(Double&)
GetBarycenterCoords	points(Coord3D[])
GetConvexPolygonArea	pts(Coord3D[])
GetEulerRotatedPtCoords	ψ(Double), θ(Double), φ(Double), center(Coord3D), pt(Coord3D)
GetEulerRotatedPtCoords	ψ(Double), θ(Double), φ(Double), center(Coord3D), pts(Coord3D[])
GetLineCircleInterCoords	center(Coord3D), radius(Double), lineOrigin(Coord3D), lineVec(Coord3D), origin(Coord3D), vec1(Coord3D), vec2(Coord3D), pt1(Coord3D&), pt2(Coord3D&)
GetLineCircleInterCoords	center(Coord3D), radius(Double), lineOrigin(Coord3D), lineVec(Coord3D), origin(Coord3D), vec1(Coord3D), vec2(Coord3D), min(Nullable`1), max(Nullable`1), pt1(Coord3D&), pt2(Coord3D&)
GetLinesInterCoords	lineOrigin1(Coord3D), lineVec1(Coord3D), lineOrigin2(Coord3D), lineVec2(Coord3D), min1(Nullable`1), max1(Nullable`1), min2(Nullable`1), max2(Nullable`1), interPt(Coord3D&), t(Double&), tp(Double&)
GetLineSphereInterCoords	center(Coord3D), radius(Double), lineOrigin(Coord3D), lineVec(Coord3D), pt1(Coord3D&), pt2(Coord3D&)
GetLineSphereInterCoords	center(Coord3D), radius(Double), lineOrigin(Coord3D), lineVec(Coord3D), min(Nullable`1), max(Nullable`1), pt1(Coord3D&), pt2(Coord3D&)
GetNormalVectorToLineCoords	pt(Coord3D), lineOrigin(Coord3D), lineVec(Coord3D)
GetNormalVectorToPlane	vec1(Coord3D), vec2(Coord3D)
GetOrthogonalVectorCoords	basePt(Coord3D), lineOrigin(Coord3D), lineVec(Coord3D)
GetOrthonormalVectorCoords	vec(Coord3D), pt1(Coord3D), pt2(Coord3D), invertDir(Boolean)
GetOrthoProjPointOnLineCoords	basePt(Coord3D), lineOrigin(Coord3D), lineVec(Coord3D)
GetOrthoProjPointOnLineCoords	basePt(Coord2D), lineOrigin(Coord2D), lineVec(Coord2D)
GetOrthoProjPointOnPlaneCoords	basePt(Coord3D), plane(Eq3Zero), normalVec(Coord3D)
GetParallelogramCoords	startPt(Coord3D), coeff1(Double), vec1(Coord3D), coeff2(Double), vec2(Coord3D), pt2(Coord3D&), pt3(Coord3D&), pt4(Coord3D&)
GetPlaneCartesianEquation	origin(Coord3D), xVec(Coord3D), yVec(Coord3D)
GetPlaneLineInterCoords	planeOrigin(Coord3D), xVec(Coord3D), yVec(Coord3D), lineOrigin(Coord3D), lineVec(Coord3D), min(Nullable`1), max(Nullable`1), interPt(Coord2D&)
GetPlanesInterCoords	p1(Eq3Zero), p2(Eq3Zero), lineVec(Coord3D&), linePt(Coord3D&)
GetPlaneSphereInterCoords	origin(Coord3D), xVec(Coord3D), yVec(Coord3D), center(Coord3D), radius(Double), cirCenter(Coord2D&), cirRadius(Double&)
GetPointOnLineTParam	pt(Coord3D), lineOrigin(Coord3D), lineVec(Coord3D)
GetPolygonPerimeter	pts(Coord3D[])
GetPolygonPerimeter	pts(Coord2D[])
GetRotatedPointCoordsCreatingPlane	radValue(Double), center(Coord3D), basePt(Coord3D), planePt(Coord3D)
	center(Coord3D), vec1(Coord3D), vec2(Coord3D), radValue(Double)
	radValue(Double), center(Coord2D), basePt(Coord2D)
	center(Coord2D), vec1(Coord2D), radValue(Double)
	center(Coord2D), vec1(Coord2D), vec2(Coord2D), radValue(Double)
GetRotatedPointsCoordsCreatingPlane	xVec(Coord3D), yVec(Coord3D), center(Coord3D), min(Double), max(Double), step(Double)
GetRotatedPointsCoordsCreatingPlane	xVec(Coord2D), yVec(Coord2D), center(Coord2D), min(Double), max(Double), step(Double)
GetRotatedPtCoords	rotCenter(Coord2D), basePt(Coord2D), radValue(Double)
GetRotatedPtCoords	rotCenter(Coord2D), basePt(Coord2D), sysCenter(Coord3D), xVec(Coord3D), yVec(Coord3D), radValue(Double)
GetRotatedPtsCoords	rotCenter(Coord2D), basePt(Coord2D), sysCenter(Coord3D), xVec(Coord3D), yVec(Coord3D), min(Double), max(Double), step(Double)
GetVectorsSumCoords	vectors(Coord3D[])
GetVectorsSumCoords	vectors(SpVectorObject[])
HaveSameCoords	pts(Coord3D[])
HaveSameCoords	pts(SpPointObject[])
IsPointOnPlane	pt(Coord3D), origin(Coord3D), vec1(Coord3D), vec2(Coord3D)