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Affine ratio
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<iframe
src="https://jsxgraph.uni-bayreuth.de/share/iframe/affine-ratio"
style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;"
name="JSXGraph example: Affine ratio"
allowfullscreen
></iframe>
This code has to
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
<div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>
<script type = "text/javascript">
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note you have to mention
The Center of Mobile Learning with Digital Technology
in the credits.
*/
const BOARDID = 'board-0';
JXG.Options.label.autoPosition = true;
JXG.Options.label.fontSize = 24;
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-5, 5, 5, -5],
keepaspectratio: true
});
var p = board.create('point', [-3, 0], {
name: 'p'
});
var q = board.create('point', [3, 0], {
name: 'q'
});
var pq = board.create('line', [p, q]);
var t = board.create('glider', [-2, 0, pq], {
name: 't'
});
var txt = board.create('text', [1, 2, () => "λ = " + t.position.toFixed(2)], {
fontSize: 24
});
</script>
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note you have to mention
The Center of Mobile Learning with Digital Technology
in the credits.
*/
const BOARDID = 'your_div_id'; // Insert your id here!
JXG.Options.label.autoPosition = true;
JXG.Options.label.fontSize = 24;
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-5, 5, 5, -5],
keepaspectratio: true
});
var p = board.create('point', [-3, 0], {
name: 'p'
});
var q = board.create('point', [3, 0], {
name: 'q'
});
var pq = board.create('line', [p, q]);
var t = board.create('glider', [-2, 0, pq], {
name: 't'
});
var txt = board.create('text', [1, 2, () => "λ = " + t.position.toFixed(2)], {
fontSize: 24
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Affine ratio" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note you have to mention
The Center of Mobile Learning with Digital Technology
in the credits.
*/
JXG.Options.label.autoPosition = true;
JXG.Options.label.fontSize = 24;
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-5, 5, 5, -5],
keepaspectratio: true
});
var p = board.create('point', [-3, 0], {
name: 'p'
});
var q = board.create('point', [3, 0], {
name: 'q'
});
var pq = board.create('line', [p, q]);
var t = board.create('glider', [-2, 0, pq], {
name: 't'
});
var txt = board.create('text', [1, 2, () => "λ = " + t.position.toFixed(2)], {
fontSize: 24
});
</jsxgraph>

Affine ratio

Affine ratio of three points. The more popular name seems to be simple ratio, in German Teilverhältnis. It is defined as

TV(p,q,t):=

JSXGraph v1.11.1 Copyright (C) see https://jsxgraph.org
0,0
–o+←↓↑→
p
q
t
λ = 0.17
// Define the id of your board in BOARDID
JXG.Options.label.autoPosition = true;
JXG.Options.label.fontSize = 24;
const board = JXG.JSXGraph.initBoard(BOARDID, {
boundingbox: [-5, 5, 5, -5],
keepaspectratio: true
});
var p = board.create('point', [-3, 0], {
name: 'p'
});
var q = board.create('point', [3, 0], {
name: 'q'
});
var pq = board.create('line', [p, q]);
var t = board.create('glider', [-2, 0, pq], {
name: 't'
});
var txt = board.create('text', [1, 2, () => "λ = " + t.position.toFixed(2)], {
fontSize: 24
});

license

This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.