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Elements
Classes

Class PolePoint

JXG.CoordsElement,JXG.GeometryElement
   ↳ JXG.Point
         ↳ PolePoint

This element is used to provide a constructor for the pole point of a line with respect to a conic or a circle.

Defined in: point.js.
Extends JXG.Point.

Class Summary
Constructor Attributes Constructor Name and Description
 
PolePoint(el1,el2, el1,el2)
The pole point is the unique reciprocal relationship of a line with respect to a conic.
Fields borrowed from class JXG.GeometryElement:
_org_type, _pos, ancestors, baseElement, board, childElements, dash, dashScale, descendants, draft, dragToTopOfLayer, dump, elementClass, elType, fillColor, fillOpacity, fixed, frozen, gradient, gradientAngle, gradientCX, gradientCY, gradientEndOffset, gradientFR, gradientFX, gradientFY, gradientR, gradientSecondColor, gradientSecondOpacity, gradientStartOffset, hasLabel, highlight, highlighted, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, id, inherits, isDraggable, isLabel, isReal, lastDragTime, layer, lineCap, methodMap, mouseover, name, needsRegularUpdate, needsUpdate, notExistingParents, numTraces, parents, precision, priv, quadraticform, rendNode, rotatable, scalable, shadow, snapToGrid, stdform, strokeColor, strokeOpacity, strokeWidth, subs, symbolic, tabindex, trace, traceAttributes, traces, transformations, transitionDuration, transitionProperties, type, visible, visProp, visPropCalc, withLabel
Fields borrowed from class JXG.CoordsElement:
coords, groups, isConstrained, needsUpdateFromParent, onPolygon, position, slideObject, slideObjects
Fields borrowed from class JXG.GeometryElement:
_org_type, _pos, ancestors, baseElement, board, childElements, dash, dashScale, descendants, draft, dragToTopOfLayer, dump, elementClass, elType, fillColor, fillOpacity, fixed, frozen, gradient, gradientAngle, gradientCX, gradientCY, gradientEndOffset, gradientFR, gradientFX, gradientFY, gradientR, gradientSecondColor, gradientSecondOpacity, gradientStartOffset, hasLabel, highlight, highlighted, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, id, inherits, isDraggable, isLabel, isReal, lastDragTime, layer, lineCap, methodMap, mouseover, name, needsRegularUpdate, needsUpdate, notExistingParents, numTraces, parents, precision, priv, quadraticform, rendNode, rotatable, scalable, shadow, snapToGrid, stdform, strokeColor, strokeOpacity, strokeWidth, subs, symbolic, tabindex, trace, traceAttributes, traces, transformations, transitionDuration, transitionProperties, type, visible, visProp, visPropCalc, withLabel
Fields borrowed from class JXG.CoordsElement:
coords, groups, isConstrained, needsUpdateFromParent, onPolygon, position, slideObject, slideObjects
Methods borrowed from class JXG.Point:
face, hasPoint, isOn, makeIntersection, normalizeFace, setStyle, size, update, updateRenderer, updateTransform
Methods borrowed from class JXG.GeometryElement:
_set, addChild, addDescendants, addParents, addParentsFromJCFunctions, addRotation, addTicks, addTransform, animate, bounds, clearTrace, cloneToBackground, countChildren, createGradient, createLabel, draggable, formatNumberLocale, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getSnapSizes, getTextAnchor, getType, handleSnapToGrid, hide, hideElement, labelColor, noHighlight, normalize, prepareUpdate, remove, removeAllTicks, removeChild, removeDescendants, removeTicks, resolveShortcuts, setArrow, setAttribute, setDash, setDisplayRendNode, setLabel, setLabelText, setName, setParents, setPosition, setPositionDirectly, setProperty, show, showElement, snapToPoints, updateVisibility, useLocale
Methods borrowed from class JXG.CoordsElement:
_anim, addAnchor, addConstraint, Dist, free, handleAttractors, handleSnapToPoints, makeGlider, moveAlong, moveTo, popSlideObject, setGliderPosition, setPositionByTransform, updateConstraint, updateCoords, updateGlider, updateGliderFromParent, visit, X, XEval, Y, YEval, Z, ZEval
Events borrowed from class JXG.GeometryElement:
attribute, attribute:key, down, drag, keydrag, mousedown, mousedrag, mousemove, mouseout, mouseover, mouseup, move, out, over, pendown, pendrag, penup, touchdown, touchdrag, touchup, up
Class Detail
PolePoint(el1,el2, el1,el2)
The pole point is the unique reciprocal relationship of a line with respect to a conic. The lines tangent to the intersections of a conic and a line intersect at the pole point of that line with respect to that conic. A line tangent to a conic has the pole point of that line with respect to that conic as the tangent point. See https://en.wikipedia.org/wiki/Pole_and_polar for more information on pole and polar.
Parameters:
{JXG.Conic|JXG.Circle_JXG.Point} el1,el2
or


{JXG.Point_JXG.Conic|JXG.Circle} el1,el2
The result will be the pole point of the line with respect to the conic or the circle.


Throws:
{Exception}
If the element cannot be constructed with the given parent objects an exception is thrown.
Examples:
// Create the pole point of a line with respect to a conic
var p1 = board.create('point', [-1, 2]);
var p2 = board.create('point', [ 1, 4]);
var p3 = board.create('point', [-1,-2]);
var p4 = board.create('point', [ 0, 0]);
var p5 = board.create('point', [ 4,-2]);
var c1 = board.create('conic',[p1,p2,p3,p4,p5]);
var p6 = board.create('point', [-1, 4]);
var p7 = board.create('point', [2, -2]);
var l1 = board.create('line', [p6, p7]);
var p8 = board.create('polepoint', [c1, l1]);

				
				
// Create the pole point of a line with respect to a circle
var p1 = board.create('point', [1, 1]);
var p2 = board.create('point', [2, 3]);
var c1 = board.create('circle',[p1,p2]);
var p3 = board.create('point', [-1, 4]);
var p4 = board.create('point', [4, -1]);
var l1 = board.create('line', [p3, p4]);
var p5 = board.create('polepoint', [c1, l1]);

				
                

Documentation generated by JsDoc Toolkit 2.4.0 on Sun Dec 10 2023 14:41:15 GMT-0000 (UTC)