Shear transformation - Revision history

A WASSERMANN at 13:54, 13 June 2023

2023-06-13T13:54:55Z

← Older revision		Revision as of 13:54, 13 June 2023
Line 6:		Line 6:
	Points of the form <math>{x\choose \lambda}</math> are mapped to:		Points of the form <math>{x\choose \lambda}</math> are mapped to:
	:<math>		:<math>
	\varphi({x\choose \lambda}) = {x + \lambda\choose}		\varphi({x\choose \lambda}) = {x + \lambda\choose\lambda}
	</math>		</math>

A WASSERMANN at 07:32, 31 May 2021

2021-05-31T07:32:46Z

← Older revision		Revision as of 07:32, 31 May 2021
Line 57:		Line 57:
	board.create('hatch', [s3, 2]);		board.create('hatch', [s3, 2]);
	board.create('hatch', [s4, 2]);		board.create('hatch', [s4, 2]);

	</jsxgraph>		</jsxgraph>

Line 65:		Line 64:
	JXG.Options.label.autoPosition = true;		JXG.Options.label.autoPosition = true;
	JXG.Options.text.fontSize = 20;		JXG.Options.text.fontSize = 20;
	var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-10, 10, 10, -10], axis: true});		JXG.Options.line.strokeWidth = 1;

			var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-5, 14, 14, -5], axis: true});

	var x = board.defaultAxes.x;		var x = board.defaultAxes.x;
	var y = board.defaultAxes.y;		var y = board.defaultAxes.y;

	var q = board.create('point', [1, 2], {name: 'q', snapToGrid: ~~true~~});		var q = board.create('point', [2, 10], {name: 'q', snapToGrid: false});
	var q1 = board.create('point', [		var q1 = board.create('point', [
	() => q.X() + q.Y(),		() => q.X() + q.Y(),
	() => q.Y()		() => q.Y()
	], {name: 'φ(q)'});		], {name: 'φ(q)', color: 'blue'});

	var qx = board.create('point', [		var qx = board.create('point', [
Line 83:		Line 84:
	var s1 = board.create('segment', [q, q1], {dash:2});		var s1 = board.create('segment', [q, q1], {dash:2});
	var s2 = board.create('segment', [qx, q], {dash:2});		var s2 = board.create('segment', [qx, q], {dash:2});
			var l1 = board.create('line', [q, qx], {visible: false});

			var r1 = board.create('line', [[0, 0], q], {straightFirst: false});

			var p = board.create('glider', [1, 3, r1], {name: 'p'});
			var p1 = board.create('point', [
			() => p.X() + p.Y(),
			() => p.Y()
			], {name: 'φ(p)', color: 'blue'});

			var px = board.create('point', [
			() => p.X(),
			() => 0
			], {visible: false});

			var r2 = board.create('line', [[0, 0], q1], {straightFirst: false});

			var s3 = board.create('segment', [p, p1], {dash:2});
			var s4 = board.create('segment', [px, p], {dash:2});

			board.create('hatch', [s1, 1]);
			board.create('hatch', [s2, 1]);

			board.create('hatch', [s3, 2]);
			board.create('hatch', [s4, 2]);
	</source>		</source>
	[[Category:Examples]]		[[Category:Examples]]
	[[Category:Geometry]]		[[Category:Geometry]]

A WASSERMANN at 07:31, 31 May 2021

2021-05-31T07:31:09Z

← Older revision		Revision as of 07:31, 31 May 2021
Line 19:		Line 19:
	var y = board.defaultAxes.y;		var y = board.defaultAxes.y;

	var q = board.create('point', [2, 8], {name: 'q', snapToGrid: false});		var q = board.create('point', [2, 10], {name: 'q', snapToGrid: false});
	var q1 = board.create('point', [		var q1 = board.create('point', [
	() => q.X() + q.Y(),		() => q.X() + q.Y(),

A WASSERMANN at 07:30, 31 May 2021

2021-05-31T07:30:30Z

← Older revision		Revision as of 07:30, 31 May 2021
Line 19:		Line 19:
	var y = board.defaultAxes.y;		var y = board.defaultAxes.y;

	var q = board.create('point', [1, 7], {name: 'q', snapToGrid: false});		var q = board.create('point', [2, 8], {name: 'q', snapToGrid: false});
	var q1 = board.create('point', [		var q1 = board.create('point', [
	() => q.X() + q.Y(),		() => q.X() + q.Y(),
Line 36:		Line 36:
	var r1 = board.create('line', [[0, 0], q], {straightFirst: false});		var r1 = board.create('line', [[0, 0], q], {straightFirst: false});

	var p = board.create('glider', [2, 8, r1], {name: 'p'});		var p = board.create('glider', [1, 3, r1], {name: 'p'});
	var p1 = board.create('point', [		var p1 = board.create('point', [
	() => p.X() + p.Y(),		() => p.X() + p.Y(),

A WASSERMANN at 07:30, 31 May 2021

2021-05-31T07:30:11Z

← Older revision		Revision as of 07:30, 31 May 2021
Line 23:		Line 23:
	() => q.X() + q.Y(),		() => q.X() + q.Y(),
	() => q.Y()		() => q.Y()
	], {name: 'φ(q)'});		], {name: 'φ(q)', color: 'blue'});

	var qx = board.create('point', [		var qx = board.create('point', [
Line 36:		Line 36:
	var r1 = board.create('line', [[0, 0], q], {straightFirst: false});		var r1 = board.create('line', [[0, 0], q], {straightFirst: false});

	var p = board.create('glider', [1, 3, r1], {name: 'p'});		var p = board.create('glider', [2, 8, r1], {name: 'p'});
	var p1 = board.create('point', [		var p1 = board.create('point', [
	() => p.X() + p.Y(),		() => p.X() + p.Y(),
	() => p.Y()		() => p.Y()
	], {name: 'φ(p)'});		], {name: 'φ(p)', color: 'blue'});

	var px = board.create('point', [		var px = board.create('point', [

A WASSERMANN at 07:29, 31 May 2021

2021-05-31T07:29:06Z

← Older revision		Revision as of 07:29, 31 May 2021
Line 52:		Line 52:
	var s4 = board.create('segment', [px, p], {dash:2});		var s4 = board.create('segment', [px, p], {dash:2});

	board.create('hatch', [s1, 1]]);		board.create('hatch', [s1, 1]);
	board.create('hatch', [s2, 1]]);		board.create('hatch', [s2, 1]);

	board.create('hatch', [s3, 2]]);		board.create('hatch', [s3, 2]);
	board.create('hatch', [s4, 2]]);		board.create('hatch', [s4, 2]);

	</jsxgraph>		</jsxgraph>

A WASSERMANN at 07:28, 31 May 2021

2021-05-31T07:28:45Z

← Older revision		Revision as of 07:28, 31 May 2021
Line 49:		Line 49:
	var r2 = board.create('line', [[0, 0], q1], {straightFirst: false});		var r2 = board.create('line', [[0, 0], q1], {straightFirst: false});

	var s1 = board.create('segment', [p, p1], {dash:2});		var s3 = board.create('segment', [p, p1], {dash:2});
	var s2 = board.create('segment', [px, p], {dash:2});		var s4 = board.create('segment', [px, p], {dash:2});

			board.create('hatch', [s1, 1]]);
			board.create('hatch', [s2, 1]]);

			board.create('hatch', [s3, 2]]);
			board.create('hatch', [s4, 2]]);

	</jsxgraph>		</jsxgraph>

A WASSERMANN at 07:27, 31 May 2021

2021-05-31T07:27:05Z

← Older revision		Revision as of 07:27, 31 May 2021
Line 42:		Line 42:
	], {name: 'φ(p)'});		], {name: 'φ(p)'});

	var qx = board.create('point', [		var px = board.create('point', [
	() => p.X(),		() => p.X(),
	() => 0		() => 0

A WASSERMANN at 07:26, 31 May 2021

2021-05-31T07:26:36Z

← Older revision		Revision as of 07:26, 31 May 2021
Line 12:		Line 12:
	JXG.Options.label.autoPosition = true;		JXG.Options.label.autoPosition = true;
	JXG.Options.text.fontSize = 20;		JXG.Options.text.fontSize = 20;
			JXG.Options.line.strokeWidth = 1;

	var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-5, 14, 14, -5], axis: true});		var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-5, 14, 14, -5], axis: true});

Line 32:		Line 34:
	var l1 = board.create('line', [q, qx], {visible: false});		var l1 = board.create('line', [q, qx], {visible: false});

	var r1 = board.create('line', [[0, 0], q], {straightFirst: false~~, strokewidth: 1~~});		var r1 = board.create('line', [[0, 0], q], {straightFirst: false});

	var p = board.create('glider', [1, 3, r1], {name: 'p'});		var p = board.create('glider', [1, 3, r1], {name: 'p'});
Line 40:		Line 42:
	], {name: 'φ(p)'});		], {name: 'φ(p)'});

	var r2 = board.create('line', [[0, 0], q1], {straightFirst: false, ~~strokewidth~~: 1});		var qx = board.create('point', [
			() => p.X(),
			() => 0
			], {visible: false});

			var r2 = board.create('line', [[0, 0], q1], {straightFirst: false});

			var s1 = board.create('segment', [p, p1], {dash:2});
			var s2 = board.create('segment', [px, p], {dash:2});


	</jsxgraph>		</jsxgraph>

A WASSERMANN at 07:25, 31 May 2021

2021-05-31T07:25:13Z

← Older revision		Revision as of 07:25, 31 May 2021
Line 12:		Line 12:
	JXG.Options.label.autoPosition = true;		JXG.Options.label.autoPosition = true;
	JXG.Options.text.fontSize = 20;		JXG.Options.text.fontSize = 20;
	var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-10, 10, 10, -10], axis: true});		var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-5, 14, 14, -5], axis: true});

	var x = board.defaultAxes.x;		var x = board.defaultAxes.x;
	var y = board.defaultAxes.y;		var y = board.defaultAxes.y;

	var q = board.create('point', [1, 7], {name: 'q', snapToGrid: ~~true~~});		var q = board.create('point', [1, 7], {name: 'q', snapToGrid: false});
	var q1 = board.create('point', [		var q1 = board.create('point', [
	() => q.X() + q.Y(),		() => q.X() + q.Y(),