Triangle axiom halving: Difference between revisions

From JSXGraph Wiki
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</html>
</html>


Axiom (A2) "triangle rule" for affine spaces.
Midpoint


<jsxgraph width="500" height="500">
<jsxgraph width="500" height="500">
JXG.Options.label.autoPosition = true;
JXG.Options.label.autoPosition = true;
JXG.Options.text.useMathJax = true;
JXG.Options.text.useMathJax = true;
JXG.Options.text.fontSize = 20;
JXG.Options.text.fontSize = 24;


var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5], showCopyright:false, showNavigation:false});
var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5], showCopyright:false, showNavigation:false});
Line 19: Line 19:
var pr = board.create('arrow', [p, r], {withLabel: true, name:'\\(\\vec{v}\\)', label:{position: 'top', parse: false}, lastArrow: {type: 4, size: 8}});
var pr = board.create('arrow', [p, r], {withLabel: true, name:'\\(\\vec{v}\\)', label:{position: 'top', parse: false}, lastArrow: {type: 4, size: 8}});
var pq = board.create('arrow', [p, q], {withLabel: true, name:'\\(\\vec{u}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var pq = board.create('arrow', [p, q], {withLabel: true, name:'\\(\\vec{u}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var rq = board.create('arrow', [q, r], {});
var rq = board.create('arrow', [r, q], {});
var ps = board.create('arrow', [p, s], {withLabel: true, name:'\\(\\frac{1}{2}(\\vec{u} + \\vec{v}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var ps = board.create('arrow', [p, s], {withLabel: true, name:'\\(\\frac{1}{2}(\\vec{u} + \\vec{v})\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
</jsxgraph>
</jsxgraph>


Line 29: Line 29:
JXG.Options.label.autoPosition = true;
JXG.Options.label.autoPosition = true;
JXG.Options.text.useMathJax = true;
JXG.Options.text.useMathJax = true;
JXG.Options.text.fontSize = 20;
JXG.Options.text.fontSize = 24;


var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5], showCopyright:false, showNavigation:false});
var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5], showCopyright:false, showNavigation:false});


var p = board.create('point', [-3,-3], {name:'p'});
var p = board.create('point', [-3,-3], {name:'\\(p_0\\)'});
var q = board.create('point', [0, 2], {name:'q'});
var q = board.create('point', [3, -3], {name:'\\(q\\)'});
var r = board.create('point', [3, -3], {name:'r'});
var r = board.create('point', [2, 2], {name:'\\(r\\)'});
var s = board.create('midpoint', [q, r], {name:'\\(s\\)'});


var pq = board.create('arrow', [p, q], {withLabel: true, name:'\\(\\vec{pq}\\)', label:{position: 'top', parse: false}, lastArrow: {type: 4, size: 8}});
var pr = board.create('arrow', [p, r], {withLabel: true, name:'\\(\\vec{v}\\)', label:{position: 'top', parse: false}, lastArrow: {type: 4, size: 8}});
var qr = board.create('arrow', [q, r], {withLabel: true, name:'\\(\\vec{qr}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var pq = board.create('arrow', [p, q], {withLabel: true, name:'\\(\\vec{u}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var pr = board.create('arrow', [p, r], {withLabel: true, name:'\\(\\vec{pr}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var rq = board.create('arrow', [r, q], {});
var ps = board.create('arrow', [p, s], {withLabel: true, name:'\\(\\frac{1}{2}(\\vec{u} + \\vec{v})\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
</source>
</source>
[[Category:Examples]]
[[Category:Examples]]
[[Category:Geometry]]
[[Category:Geometry]]

Latest revision as of 15:41, 12 April 2021

Midpoint


The underlying JavaScript code

JXG.Options.label.autoPosition = true;
JXG.Options.text.useMathJax = 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,-3], {name:'\\(p_0\\)'});
var q = board.create('point', [3, -3], {name:'\\(q\\)'});
var r = board.create('point', [2, 2], {name:'\\(r\\)'});
var s = board.create('midpoint', [q, r], {name:'\\(s\\)'});

var pr = board.create('arrow', [p, r], {withLabel: true, name:'\\(\\vec{v}\\)', label:{position: 'top', parse: false}, lastArrow: {type: 4, size: 8}});
var pq = board.create('arrow', [p, q], {withLabel: true, name:'\\(\\vec{u}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
var rq = board.create('arrow', [r, q], {});
var ps = board.create('arrow', [p, s], {withLabel: true, name:'\\(\\frac{1}{2}(\\vec{u} + \\vec{v})\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});