JSXGraph Reference

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Elements

• Angle
• Arc
• Arrow
• Arrowparallel
• Axis
• Bisector
• Bisectorlines
• Circle
• Circumcenter
• Circumcircle
• CircumcircleArc
• Circumcirclesector
• Conic
• Curve
• Ellipse
• Functiongraph
• Glider
• Grid
• Hyperbola
• Image
• Incenter
• Incircle
• Integral
• Intersection
• Line
• Locus
• Midpoint
• Mirrorpoint
• Normal
• Orthogonalprojection
• OtherIntersection
• Parabola
• Parallel
• Parallelpoint
• Perpendicular
• Perpendicularpoint
• Point
• Polygon
• Reflection
• RegularPolygon
• Riemannsum
• Sector
• Segment
• Semicircle
• Slider
• Tangent
• Text
• Ticks
• Tracecurve

Classes

• _global_
• JXG
• JXG.AbstractRenderer
• JXG.Board
• JXG.C
• JXG.CanvasRenderer
• JXG.Circle
• JXG.Complex
• JXG.Composition
• JXG.Coords
• JXG.Curve
• JXG.Dump
• JXG.GeometryElement
• JXG.GeonextParser
• JXG.Group
• JXG.Image
• JXG.JessieCode
• JXG.JSXGraph
• JXG.Line
• JXG.Math
• JXG.Math.Geometry
• JXG.Math.Numerics
• JXG.Math.Poly
• JXG.Math.Poly.Monomial
• JXG.Math.Poly.Polynomial
• JXG.Math.Poly.Ring
• JXG.Math.Statistics
• JXG.Math.Symbolic
• JXG.Point
• JXG.Polygon
• JXG.Server
• JXG.Server.modules
• JXG.SVGRenderer
• JXG.Text
• JXG.Ticks
• JXG.Turtle
• JXG.Util
• JXG.VMLRenderer

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Built-In Namespace _global_

      ↳ _global_

Field Summary

Field Attributes	Field Name and Description
<deprecated>	circumcenterMidpoint
	o Special treatment of labels
	ret

Method Summary

Method Attributes	Method Name and Description
	affineDistance(array1, array2) Calculates euclidean distance for two given arrays of the same length.
<deprecated>	angle(A, B, C) Calculates the angle defined by the points A, B, C.
	angleBisector(A, B, C, board) Calculates the bisection between the three points A, B, C.
	calcStraight(el, point1, point2) A line can be a segment, a straight, or a ray.
	circumcenter(point1, point2, point3, board) Calculates the center of the circumcircle of the three given points.
	deg()
	distance(array1, array2) Calculates euclidean norm for two given arrays of the same length.
	f()
	fct(x, suspendedUpdate)
	findSplit(pts, i, j) findSplit() is a subroutine of JXG.Math.Numerics#RamerDouglasPeuker.
	intersectCircleCircle(circle1, circle2, board) Calculates the coordinates of the intersection of the given circles.
	intersectCircleLine(circle, line, board) Calculates the coordinates of the intersection of the given line and circle.
	intersectLineLine(line1, line2, board) Calculates the coordinates of the intersection of the given lines.
	isSameDir(p1, p2, i1, i2) The vectors p2-p1 and i2-i1 are supposed collinear.
	isSameDirection(start, p, s) If you're looking from point "start" towards point "s" and can see the point "p", true is returned.
	li()
	majorAxis()
	makeFct(which)
	meet(el1, el2, i, board) Computes the intersection of a pair of lines, circles or both.
	meetCircleCircle(circ1, circ2, i, board) Intersection of two circles using the stdform.
	meetCurveCurve(c1, c2, t1ini, t2ini, board) Compute an intersection of the curves c1 and c2 with a generalized Newton method.
	meetCurveLine(el1, el2, nr, board) order of input does not matter for el1 and el2.
	meetLineCircle(lin, circ, i, board) Intersection of line and circle using the stdform.
	meetLineLine(l1, l2, i, board) Intersection of two lines using the stdform.
	perpendicular(line, point, board) Calculates the coordinates of a point on the perpendicular to the given line through the given point.
	projectCoordsToCurve(x, y, t, curve, board) Calculates the coordinates of the projection of a coordinates pair on a given curve.
	projectPointToCircle(point, circle, board) Calculates the coordinates of the projection of a given point on a given circle.
	projectPointToCurve(point, curve, board) Calculates the coordinates of the projection of a given point on a given curve.
	projectPointToLine(point, line, board) Calculates the coordinates of the orthogonal projection of a given point on a given line.
	projectPointToPoint(point, dest, board) Trivial projection of a point to another point.
	projectPointToTurtle(point, turtle, board) Calculates the coordinates of the projection of a given point on a given turtle.
	rad(A, B, C) Calculates the internal angle defined by the three points A, B, C if you're going from A to C around B counterclockwise.
<private>	RDP(pts, i, j, eps, newPts) RDP() is a private subroutine of JXG.Math.Numerics#RamerDouglasPeuker.
	reflection(line, point, board) Reflects the point along the line.
	rotation(rotpoint, point, phi, board) Computes the new position of a point which is rotated around a second point (called rotpoint) by the angle phi.
	stepFun(i)
	trueAngle(A, B, C) Calculates the angle defined by the three points A, B, C if you're going from A to C around B counterclockwise.

Deprecated:

Please use JXG.Math.Geometry#circumcenter instead.

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Parameters:

{Array} array1

Array containing elements of number.

{Array} array2

Array containing elements of type number.

Returns:

{Number} Euclidean (affine) distance of the given vectors.

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Parameters:

{JXG.Point} A

A point or [x,y] array.

{JXG.Point} B

Another point or [x,y] array.

{JXG.Point} C

A circle - no, of course the third point or [x,y] array.

Deprecated:

Use JXG.Math.Geometry#rad instead.

Returns:

{Number} The angle in radian measure.

See:

#rad

#trueAngle

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Parameters:

{JXG.Point} A

Point

{JXG.Point} B

Point

{JXG.Point} C

Point

board Optional, Default: A.board

Reference to the board

Returns:

{JXG.Coords} Coordinates of the second point defining the bisection.

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Parameters:

{JXG.Line} el

Reference to a line object, that needs calculation of start and end point.

{JXG.Coords} point1

Coordinates of the point where line drawing begins. This value is calculated and set by this method.

{JXG.Coords} point2

Coordinates of the point where line drawing ends. This value is calculated and set by this method.

See:

Line

JXG.Line

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Parameters:

{JXG.Point} point1

Point

{JXG.Point} point2

Point

{JXG.Point} point3

Point

{JXG.Board} board Optional, Default: point1.board

Reference to the board

Returns:

{JXG.Coords} Coordinates of the center of the circumcircle of the given points.

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Parameters:

{Array} array1

Array of float or integer.

{Array} array2

Array of float or integer.

Returns:

{Number} Euclidean distance of the given vectors.

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Parameters:

x

suspendedUpdate

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Parameters:

{Array} pts

Array of JXG.Coords

{Number} i

Index of a point in pts

{Number} j

Index of a point in pts

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Parameters:

{JXG.Circle} circle1

Circle.

{JXG.Circle} circle2

Circle.

{JXG.Board} board Optional, Default: circle1.board

Reference to the board

Returns:

{Array} Coordinates of the intersection points of the given circles and the amount of intersection points in the first component of the array.

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Parameters:

{JXG.Circle} circle

Circle.

{JXG.Line} line

Line.

{JXG.Board} board Optional, Default: line.board

Reference to the board

Returns:

{Array} The coordinates of the intersection points of the given circle with the given line and the amount of intersection points in the first component of the array.

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Parameters:

{JXG.Line} line1

Line.

{JXG.Line} line2

Line.

{JXG.Board} board Optional, Default: line1.board

Reference to the board

Returns:

{JXG.Coords} Coordinates of the intersection point of the given lines.

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Parameters:

{JXG.Coords} p1

{JXG.Coords} p2

{JXG.Coords} i1

{JXG.Coords} i2

Returns:

{Boolean} True, if p2-p1 and i2-i1 point into the same direction

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Parameters:

{JXG.Coords} start

The point you're standing on.

{JXG.Coords} p

The point in which direction you're looking.

{JXG.Coords} s

The point that should be visible.

Returns:

{Boolean} True, if from start the point p is in the same direction as s is, that means s-start = k*(p-start) with k>=0.

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Parameters:

which

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Parameters:

{Array} el1

stdform of the first element (line or circle)

{Array} el2

stdform of the second element (line or circle)

{Number} i

Index of the intersection point that should be returned.

board

Reference to the board.

Returns:

{JXG.Coords} Coordinates of one of the possible two or more intersection points. Which point will be returned is determined by i.

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Parameters:

{Array} circ1

stdform of the first circle

{Array} circ2

stdform of the second circle

{number} i

number of the returned intersection point. i==0: use the positive square root, i==1: use the negative square root.

{JXG.Board} board

Reference to the board.

Returns:

{JXG.Coords} Coordinates of the intersection point

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Parameters:

{JXG.Curve} c1

Curve, Line or Circle

{JXG.Curve} c2

Curve, Line or Circle

{Number} t1ini

start value for t1

{Number} t2ini

start value for t2

{JXG.Board} board Optional, Default: c1.board

Reference to a board object.

Returns:

{JXG.Coords} intersection point

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Parameters:

{JXG.Curve|JXG.Line} el1

Curve or Line

{JXG.Curve|JXG.Line} el2

Curve or Line

{?} nr

{JXG.Board} board Optional, Default: el1.board

Reference to a board object.

Returns:

{JXG.Coords} Intersection point

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Parameters:

{Array} lin

stdform of the line

{Array} circ

stdform of the circle

{number} i

number of the returned intersection point. i==0: use the positive square root, i==1: use the negative square root.

{JXG.Board} board

Reference to a board.

Returns:

{JXG.Coords} Coordinates of the intersection point

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Parameters:

{Array} l1

stdform of the first line

{Array} l2

stdform of the second line

{number} i

unused

{JXG.Board} board

Reference to the board.

Returns:

{JXG.Coords} Coordinates of the intersection point.

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Parameters:

{JXG.Line} line

A line.

{JXG.Point} point

Intersection point of line to perpendicular.

{JXG.Board} board Optional, Default: point.board

Reference to the board

Returns:

{JXG.Coords} Coordinates of a point on the perpendicular to the given line through the given point.

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Parameters:

{Number} x

coordinate to project.

{Number} y

coordinate to project.

{Number} t

start value for newtons method

{JXG.Curve} curve

Curve on that the point is projected.

{JXG.Board} board Optional, Default: curve.board

Reference to a board.

Returns:

{JXG.Coords} Array containing the coordinates of the projection of the given point on the given graph and the position on the curve.

See:

#projectPointToCurve

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Parameters:

{JXG.Point} point

Point to project.

{JXG.Circle} circle

Circle on that the point is projected.

{JXG.Board} board Optional, Default: point.board

Reference to the board

Returns:

{JXG.Coords} The coordinates of the projection of the given point on the given circle.

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Parameters:

{JXG.Point} point

Point to project.

{JXG.Curve} curve

Curve on that the point is projected.

{JXG.Board} board Optional, Default: point.board

Reference to a board.

Returns:

{JXG.Coords} The coordinates of the projection of the given point on the given graph.

See:

#projectCoordsToCurve

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Parameters:

{JXG.Point} point

Point to project.

{JXG.Line} line

Line on that the point is projected.

{JXG.Board} board Optional, Default: point.board

Reference to a board.

Returns:

{JXG.Coords} The coordinates of the projection of the given point on the given line.

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Parameters:

{JXG.Point} point

Point to project (not used).

{JXG.Point} dest

Point on that the point is projected.

{JXG.Board} board Optional, Default: point.board

Reference to the board (not used).

Returns:

{JXG.Coords} The coordinates of the projection of the given point on the given circle.

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Parameters:

{JXG.Point} point

Point to project.

{JXG.Turtle} turtle

on that the point is projected.

{JXG.Board} board Optional, Default: point.board

Reference to a board.

Returns:

{JXG.Coords} The coordinates of the projection of the given point on the given turtle.

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Parameters:

{JXG.Point} A

Point or [x,y] array

{JXG.Point} B

Point or [x,y] array

{JXG.Point} C

Point or [x,y] array

Returns:

{Number} Angle in radians.

See:

#trueAngle

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Parameters:

{Array} pts

Array of JXG.Coords

{Number} i

Index of an element of pts

{Number} j

Index of an element of pts

{Number} eps

If the absolute value of a given number x is smaller than eps it is considered to be equal 0.

{Array} newPts

Array of JXG.Coords

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Parameters:

{JXG.Line} line

Axis of reflection.

{JXG.Point} point

Point to reflect.

board Optional, Default: point.board

Reference to the board

Returns:

{JXG.Coords} Coordinates of the reflected point.

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Parameters:

{JXG.Point} rotpoint

Center of the rotation

{JXG.Point} point

point to be rotated

{number} phi

rotation angle in arc length

{JXG.Board} board Optional, Default: point.board

Reference to the board

Returns:

{JXG.Coords} Coordinates of the new position.

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Parameters:

i

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Parameters:

{JXG.Point} A

Point or [x,y] array

{JXG.Point} B

Point or [x,y] array

{JXG.Point} C

Point or [x,y] array

Returns:

{Number} The angle in degrees.

See:

#rad

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