Affine ratio: Difference between revisions
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The more popular name seems to be 'simple ratio' | The more popular name seems to be ''simple ratio'', in German ''Teilverhältnis'': | ||
:<math> | |||
TV(p, q, t) := \lambda \in K \mbox{ such that } \vec{pt} = \lambda\cdot\vec{pq} | |||
</math> | |||
<jsxgraph width="500" height="500"> | <jsxgraph width="500" height="500"> | ||
| Line 9: | Line 13: | ||
var p = board.create('point', [-3,0], {name: 'p'}); | var p = board.create('point', [-3,0], {name: 'p'}); | ||
var q = board.create('point', [3,0], {name: 'q'}); | var q = board.create('point', [3,0], {name: 'q'}); | ||
var pq = board.create(' | var pq = board.create('line', [p, q]); | ||
var t = board.create('glider', [-2, 0, pq], {name: 't'}); | var t = board.create('glider', [-2, 0, pq], {name: 't'}); | ||
var txt = board.create('text', [1, 2, function() { return "λ = " + t.position.toFixed(2); }]); | var txt = board.create('text', [1, 2, function() { return "λ = " + t.position.toFixed(2); }]); | ||
| Line 24: | Line 28: | ||
var p = board.create('point', [-3,0], {name: 'p'}); | var p = board.create('point', [-3,0], {name: 'p'}); | ||
var q = board.create('point', [3,0], {name: 'q'}); | var q = board.create('point', [3,0], {name: 'q'}); | ||
var pq = board.create(' | var pq = board.create('line', [p, q]); | ||
var t = board.create('glider', [-2, 0, pq], {name: 't'}); | var t = board.create('glider', [-2, 0, pq], {name: 't'}); | ||
var txt = board.create('text', [1, 2, function() { return "λ = " + t.position.toFixed(2); }]); | var txt = board.create('text', [1, 2, function() { return "λ = " + t.position.toFixed(2); }]); | ||
Latest revision as of 07:57, 4 May 2021
The more popular name seems to be simple ratio, in German Teilverhältnis:
- [math]\displaystyle{ TV(p, q, t) := \lambda \in K \mbox{ such that } \vec{pt} = \lambda\cdot\vec{pq} }[/math]
The underlying JavaScript code
JXG.Options.label.autoPosition = true;
JXG.Options.text.fontSize = 24;
var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5], showCopyright:false, showNavigation:false});
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, function() { return "λ = " + t.position.toFixed(2); }]);
