Triangle axiom halving - Revision history

A WASSERMANN at 15:41, 12 April 2021

2021-04-12T15:41:20Z

← Older revision		Revision as of 15:41, 12 April 2021
Line 3:		Line 3:
	</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 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]]

A WASSERMANN at 15:40, 12 April 2021

2021-04-12T15:40:34Z

← Older revision		Revision as of 15:40, 12 April 2021
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>

A WASSERMANN: Created page with " Axiom (A2) "triangle rule" for affine spaces. ..."

2021-04-12T15:39:56Z

Created page with "<html> <script type="text/javascript" src="/distrib/MathJax/MathJax.js"></script> </html> Axiom (A2) "triangle rule" for affine spaces. <jsxgraph width="500" height="500">..."

New page

<html>
<script type="text/javascript" src="/distrib/MathJax/MathJax.js"></script>
</html>

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

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

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', [q, r], {});
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>

=== The underlying JavaScript code ===

<source lang="javascript">
JXG.Options.label.autoPosition = true;
JXG.Options.text.useMathJax = true;
JXG.Options.text.fontSize = 20;

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

var pq = board.create('arrow', [p, q], {withLabel: true, name:'\\(\\vec{pq}\\)', 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 pr = board.create('arrow', [p, r], {withLabel: true, name:'\\(\\vec{pr}\\)', label:{position: 'top'}, lastArrow: {type: 4, size: 8}});
</source>
[[Category:Examples]]
[[Category:Geometry]]