# Difference between revisions of "Shear transformation"

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JXG.Options.label.autoPosition = true; | JXG.Options.label.autoPosition = true; | ||

JXG.Options.text.fontSize = 20; | JXG.Options.text.fontSize = 20; | ||

− | var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [- | + | var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-8, 8, 8, -8], axis: true}); |

var x = board.defaultAxes.x; | var x = board.defaultAxes.x; | ||

var y = board.defaultAxes.y; | var y = board.defaultAxes.y; | ||

− | var q = board.create('point', [1, 2], {name: 'q'}); | + | var q = board.create('point', [1, 2], {name: 'q', snapToGrid: true}); |

var q1 = board.create('point', [ | var q1 = board.create('point', [ | ||

() => q.X() + q.Y(), | () => q.X() + q.Y(), |

## Revision as of 09:18, 31 May 2021

Shear transformation

- [math] \varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix} [/math]

Points of the form [math]{x\choose \lambda}[/math] are mapped to:

- [math] \varphi({x\choose \lambda}) = {x + \lambda\choose} [/math]