A WASSERMANN at 09:33, 15 July 2020

2020-07-15T09:33:08Z

@@ Line 27: / Line 27: @@
 </jsxgraph>
-===The JavaScript code===
+===Explanation===
 <source lang="javascript">

A WASSERMANN: Created page with "===Example: Two squares=== Consider two arbitrary squares ''ABCD'' and ''BFGE'' having the vertex ''B'' in common, see figure below. Prove that the straight lines ''AE'' and..."

2020-07-15T09:28:51Z

Created page with "===Example: Two squares=== Consider two arbitrary squares ''ABCD'' and ''BFGE'' having the vertex ''B'' in common, see figure below. Prove that the straight lines ''AE'' and..."

New page

===Example: Two squares===

Consider two arbitrary squares ''ABCD'' and ''BFGE'' having the vertex ''B'' in common, see figure below.
Prove that the straight lines ''AE'' and ''CF'' are perpendicular for each such two squares.

(Source: Maria Alessandra Mariotti: Reasoning, proof and proving in mathematics education.
Proceedings of the 10th International Congress on Mathematical Education (ICME), 4-11 July, 2004. 2008.
Construction by [//home.pf.jcu.cz/~hasek/ Roman Hašek])

<jsxgraph width="500" height="400" box="box">
(function() {
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 3, 4, -3]});

var A = board.create('point', [-3, -1], {color: 'blue'}),
B = board.create('point', [0, -1], {color: 'blue'}),
E = board.create('point', [1, -2], {name: 'E', color: 'blue'}),

square1 = board.create('regularpolygon', [A, B, 4], {name: 'Square 1'}),
square2 = board.create('regularpolygon', [B, E, 4], {name: 'Square 2'}),

C = square1.vertices[2],
H = square2.vertices[3],

p = board.create('line', [A, H]),
q = board.create('line', [E, C]);
})();
</jsxgraph>

===The JavaScript code===

<source lang="javascript">
(function() {
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-4, 3, 4, -3]});

var A = board.create('point', [-3, -1], {color: 'blue'}),
B = board.create('point', [0, -1], {color: 'blue'}),
E = board.create('point', [1, -2], {name: 'E', color: 'blue'}),

square1 = board.create('regularpolygon', [A, B, 4], {name: 'Square 1'}),
square2 = board.create('regularpolygon', [B, E, 4], {name: 'Square 2'}),

C = square1.vertices[2],
H = square2.vertices[3],

p = board.create('line', [A, H]),
q = board.create('line', [E, C]);
})();
</source>

[[Category:Examples]]
[[Category:Geometry]]

Two squares - Revision history

A WASSERMANN at 09:33, 15 July 2020

A WASSERMANN: Created page with "===Example: Two squares=== Consider two arbitrary squares ''ABCD'' and ''BFGE'' having the vertex ''B'' in common, see figure below. Prove that the straight lines ''AE'' and..."