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.
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.
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- Fields borrowed from class JXG.GeometryElement:
- _org_type, _pos, ancestors, baseElement, board, childElements, dash, descendants, draft, dump, elementClass, elType, fillColor, fillOpacity, fixed, frozen, hasLabel, highlight, highlighted, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, id, inherits, isDraggable, isReal, lastDragTime, methodMap, mouseover, name, needsRegularUpdate, needsUpdate, notExistingParents, numTraces, parents, quadraticform, rendNode, scalable, shadow, snapToGrid, stdform, strokeColor, strokeOpacity, strokeWidth, subs, symbolic, trace, traceAttributes, traces, transformations, transitionDuration, type, visible, visProp, visPropCalc, withLabel
- Fields borrowed from class JXG.CoordsElement:
- coords, groups, needsUpdateFromParent, onPolygon, position, slideObject, slideObjects
- Fields borrowed from class JXG.GeometryElement:
- _org_type, _pos, ancestors, baseElement, board, childElements, dash, descendants, draft, dump, elementClass, elType, fillColor, fillOpacity, fixed, frozen, hasLabel, highlight, highlighted, highlightFillColor, highlightFillOpacity, highlightStrokeColor, highlightStrokeOpacity, highlightStrokeWidth, id, inherits, isDraggable, isReal, lastDragTime, methodMap, mouseover, name, needsRegularUpdate, needsUpdate, notExistingParents, numTraces, parents, quadraticform, rendNode, scalable, shadow, snapToGrid, stdform, strokeColor, strokeOpacity, strokeWidth, subs, symbolic, trace, traceAttributes, traces, transformations, transitionDuration, type, visible, visProp, visPropCalc, withLabel
- Fields borrowed from class JXG.CoordsElement:
- coords, groups, needsUpdateFromParent, onPolygon, position, slideObject, slideObjects
- Methods borrowed from class JXG.Point:
- face, hasPoint, makeIntersection, normalizeFace, setStyle, size, update, updateRenderer, updateTransform
- Methods borrowed from class JXG.GeometryElement:
- _set, addChild, addDescendants, addParents, addRotation, addTransform, animate, bounds, clearTrace, cloneToBackground, countChildren, createGradient, createLabel, draggable, fullUpdate, generatePolynomial, getAttribute, getAttributes, getLabelAnchor, getName, getParents, getProperty, getTextAnchor, getType, handleSnapToGrid, hideElement, labelColor, noHighlight, normalize, prepareUpdate, remove, removeChild, removeDescendants, resolveShortcuts, setArrow, setAttribute, setDash, setDisplayRendNode, setLabel, setLabelText, setName, setParents, setPosition, setPositionDirectly, setProperty, showElement, snapToPoints, updateVisibility
- 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:<attribute><attribute>, down, drag, mousedown, mousedrag, mousemove, mouseout, mouseover, mouseup, move, out, over, 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 http://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]);