Difference between revisions of "Affine ratio"
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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 09:57, 4 May 2021
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]
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); }]);
