Element 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.
| Constructor Attributes | Constructor Name and Description |
|---|---|
|
The pole point is the unique reciprocal relationship of a line with respect to a conic.
|
- 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, eval, evalVisProp, formatNumberLocale, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getSnapSizes, getTextAnchor, getType, handleSnapToGrid, hide, hideElement, 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, Coords, Dist, findClosestSnapValue, 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
Element Detail
PolePoint
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.
-
This element has no direct constructor. To create an instance of this element you have to call JXG.Board#create
with type "polepoint".
- Possible parent array combinations are:
-
{JXG.Conic|JXG.Circle} el1
{JXG.Point} el2
- or
-
{JXG.Point} el1
{JXG.Conic|JXG.Circle} 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]);
Attributes borrowed from other Elements
- Attributes borrowed from class JXG.GeometryElement:
- aria, cssClass, dash, dashScale, draft, dragToTopOfLayer, element3D, fillColor, fillOpacity, fixed, frozen, gradient, gradientAngle, gradientCX, gradientCY, gradientEndOffset, gradientFR, gradientFX, gradientFY, gradientR, gradientSecondColor, gradientSecondOpacity, gradientStartOffset, highlight, highlightCssClass, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, isLabel, layer, lineCap, needsRegularUpdate, nonnegativeOnly, precision, priv, rotatable, scalable, shadow, snapToGrid, strokeColor, strokeOpacity, strokeWidth, tabindex, trace, traceAttributes, transitionDuration, transitionProperties, visible, withLabel
Fields borrowed from other Elements
- Fields borrowed from class JXG.GeometryElement:
- _org_type, _pos, ancestors, baseElement, board, childElements, descendants, dump, elementClass, elType, hasLabel, highlighted, id, inherits, isDraggable, isReal, lastDragTime, methodMap, mouseover, name, needsUpdate, notExistingParents, numTraces, parents, quadraticform, rendNode, stdform, subs, symbolic, traces, transformations, type, visProp, visPropCalc
- Fields borrowed from class JXG.CoordsElement:
- coords, groups, isConstrained, needsUpdateFromParent, onPolygon, position, slideObject, slideObjects
Methods borrowed from other Elements
- 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, eval, evalVisProp, formatNumberLocale, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getSnapSizes, getTextAnchor, getType, handleSnapToGrid, hide, hideElement, 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, Coords, Dist, findClosestSnapValue, free, handleAttractors, handleSnapToPoints, makeGlider, moveAlong, moveTo, popSlideObject, setGliderPosition, setPositionByTransform, updateConstraint, updateCoords, updateGlider, updateGliderFromParent, visit, X, XEval, Y, YEval, Z, ZEval
Events borrowed from other Elements