Difference between revisions of "Euler line"
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<jsxgraph width="400" height="400" box="box"> | <jsxgraph width="400" height="400" box="box"> | ||
− | + | (function () { | |
− | + | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true}); | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | + | var cerise = { | |
− | + | strokeColor: '#901B77', | |
− | + | fillColor: '#CA147A' | |
− | + | }, | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | + | grass = { | |
− | + | strokeColor: '#009256', | |
− | + | fillColor: '#65B72E', | |
− | + | visible: true, | |
− | + | withLabel: true | |
− | + | }, | |
− | |||
− | + | perpendicular = { | |
− | + | strokeColor: 'black', | |
− | + | dash: 1, | |
− | + | strokeWidth: 1, | |
+ | point: JXG.deepCopy(cerise, { | ||
+ | visible: true, | ||
+ | withLabel: true | ||
+ | }) | ||
+ | }, | ||
− | + | median = { | |
− | + | strokeWidth: 1, | |
+ | strokeColor: '#333333', | ||
+ | dash:2 | ||
+ | }, | ||
+ | A = board.create('point', [1, 0], cerise), | ||
+ | B = board.create('point', [-1, 0], cerise), | ||
+ | C = board.create('point', [0.2, 1.5], cerise), | ||
+ | pol = board.create('polygon',[A,B,C], { | ||
+ | fillColor: '#FFFF00', | ||
+ | lines: { | ||
+ | strokeWidth: 2, | ||
+ | strokeColor: '#009256' | ||
+ | } | ||
+ | }); | ||
+ | |||
+ | var pABC, pBCA, pCAB, i1; | ||
+ | perpendicular.point.name = 'H_c'; | ||
+ | pABC = board.create('perpendicular', [pol.borders[0], C], perpendicular); | ||
+ | perpendicular.point.name = 'H_a'; | ||
+ | pBCA = board.create('perpendicular', [pol.borders[1], A], perpendicular); | ||
+ | perpendicular.point.name = 'H_b'; | ||
+ | pCAB = board.create('perpendicular', [pol.borders[2], B], perpendicular); | ||
+ | grass.name = 'H'; | ||
+ | i1 = board.create('intersection', [pABC, pCAB, 0], grass); | ||
+ | |||
+ | var mAB, mBC, mCA; | ||
+ | cerise.name = 'M_c'; | ||
+ | mAB = board.create('midpoint', [A, B], cerise); | ||
+ | cerise.name = 'M_a'; | ||
+ | mBC = board.create('midpoint', [B, C], cerise); | ||
+ | cerise.name = 'M_b'; | ||
+ | mCA = board.create('midpoint', [C, A], cerise); | ||
+ | |||
+ | var ma, mb, mc, i2; | ||
+ | ma = board.create('segment', [mBC, A], median); | ||
+ | mb = board.create('segment', [mCA, B], median); | ||
+ | mc = board.create('segment', [mAB, C], median); | ||
+ | grass.name = 'S'; | ||
+ | i2 = board.create('intersection', [ma, mc, 0], grass); | ||
+ | |||
+ | var c; | ||
+ | grass.name = 'U'; | ||
+ | c = board.create('circumcircle',[A, B, C], { | ||
+ | strokeColor: '#000000', | ||
+ | dash: 3, | ||
+ | strokeWidth: 1, | ||
+ | center: grass | ||
+ | }); | ||
+ | |||
+ | var euler; | ||
+ | euler = board.create('line', [i1, i2], { | ||
+ | strokeWidth: 2, | ||
+ | strokeColor:'#901B77' | ||
+ | }); | ||
+ | board.update(); | ||
+ | })(); | ||
</jsxgraph> | </jsxgraph> | ||
===The JavaScript code=== | ===The JavaScript code=== | ||
− | <source lang=" | + | <source lang="javascript"> |
− | + | (function () { | |
− | + | ||
+ | var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true}); | ||
+ | |||
+ | var cerise = { | ||
+ | strokeColor: '#901B77', | ||
+ | fillColor: '#CA147A' | ||
+ | }, | ||
+ | |||
+ | grass = { | ||
+ | strokeColor: '#009256', | ||
+ | fillColor: '#65B72E', | ||
+ | visible: true, | ||
+ | withLabel: true | ||
+ | }, | ||
+ | |||
+ | perpendicular = { | ||
+ | strokeColor: 'black', | ||
+ | dash: 1, | ||
+ | strokeWidth: 1, | ||
+ | point: JXG.deepCopy(cerise, { | ||
+ | visible: true, | ||
+ | withLabel: true | ||
+ | }) | ||
+ | }, | ||
+ | |||
+ | median = { | ||
+ | strokeWidth: 1, | ||
+ | strokeColor: '#333333', | ||
+ | dash:2 | ||
+ | }, | ||
− | + | A = board.create('point', [1, 0], cerise), | |
− | A = | + | B = board.create('point', [-1, 0], cerise), |
− | B = | + | C = board.create('point', [0.2, 1.5], cerise), |
− | C = | + | pol = board.create('polygon',[A,B,C], { |
− | pol = | + | fillColor: '#FFFF00', |
− | + | lines: { | |
− | + | strokeWidth: 2, | |
− | + | strokeColor: '#009256' | |
+ | } | ||
+ | }); | ||
− | pABC = | + | var pABC, pBCA, pCAB, i1; |
− | pBCA = | + | perpendicular.point.name = 'H_c'; |
− | pCAB = | + | pABC = board.create('perpendicular', [pol.borders[0], C], perpendicular); |
− | + | perpendicular.point.name = 'H_a'; | |
− | + | pBCA = board.create('perpendicular', [pol.borders[1], A], perpendicular); | |
− | + | perpendicular.point.name = 'H_b'; | |
− | i1 = | + | pCAB = board.create('perpendicular', [pol.borders[2], B], perpendicular); |
− | + | grass.name = 'H'; | |
− | + | i1 = board.create('intersection', [pABC, pCAB, 0], grass); | |
− | |||
− | mAB | + | var mAB, mBC, mCA; |
− | + | cerise.name = 'M_c'; | |
− | + | mAB = board.create('midpoint', [A, B], cerise); | |
− | + | cerise.name = 'M_a'; | |
− | + | mBC = board.create('midpoint', [B, C], cerise); | |
− | + | cerise.name = 'M_b'; | |
− | + | mCA = board.create('midpoint', [C, A], cerise); | |
− | + | var ma, mb, mc, i2; | |
− | + | ma = board.create('segment', [mBC, A], median); | |
− | + | mb = board.create('segment', [mCA, B], median); | |
− | + | mc = board.create('segment', [mAB, C], median); | |
+ | grass.name = 'S'; | ||
+ | i2 = board.create('intersection', [ma, mc, 0], grass); | ||
− | + | var c; | |
− | + | grass.name = 'U'; | |
+ | c = board.create('circumcircle',[A, B, C], { | ||
+ | strokeColor: '#000000', | ||
+ | dash: 3, | ||
+ | strokeWidth: 1, | ||
+ | point: grass | ||
+ | }); | ||
− | + | var euler; | |
+ | euler = board.create('line', [i1, i2], { | ||
+ | strokeWidth: 2, | ||
+ | strokeColor:'#901B77' | ||
+ | }); | ||
+ | board.update(); | ||
+ | })(); | ||
+ | </source> | ||
[[Category:Examples]] | [[Category:Examples]] | ||
[[Category:Geometry]] | [[Category:Geometry]] |
Latest revision as of 10:07, 13 June 2012
The JavaScript code
(function () {
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio:true});
var cerise = {
strokeColor: '#901B77',
fillColor: '#CA147A'
},
grass = {
strokeColor: '#009256',
fillColor: '#65B72E',
visible: true,
withLabel: true
},
perpendicular = {
strokeColor: 'black',
dash: 1,
strokeWidth: 1,
point: JXG.deepCopy(cerise, {
visible: true,
withLabel: true
})
},
median = {
strokeWidth: 1,
strokeColor: '#333333',
dash:2
},
A = board.create('point', [1, 0], cerise),
B = board.create('point', [-1, 0], cerise),
C = board.create('point', [0.2, 1.5], cerise),
pol = board.create('polygon',[A,B,C], {
fillColor: '#FFFF00',
lines: {
strokeWidth: 2,
strokeColor: '#009256'
}
});
var pABC, pBCA, pCAB, i1;
perpendicular.point.name = 'H_c';
pABC = board.create('perpendicular', [pol.borders[0], C], perpendicular);
perpendicular.point.name = 'H_a';
pBCA = board.create('perpendicular', [pol.borders[1], A], perpendicular);
perpendicular.point.name = 'H_b';
pCAB = board.create('perpendicular', [pol.borders[2], B], perpendicular);
grass.name = 'H';
i1 = board.create('intersection', [pABC, pCAB, 0], grass);
var mAB, mBC, mCA;
cerise.name = 'M_c';
mAB = board.create('midpoint', [A, B], cerise);
cerise.name = 'M_a';
mBC = board.create('midpoint', [B, C], cerise);
cerise.name = 'M_b';
mCA = board.create('midpoint', [C, A], cerise);
var ma, mb, mc, i2;
ma = board.create('segment', [mBC, A], median);
mb = board.create('segment', [mCA, B], median);
mc = board.create('segment', [mAB, C], median);
grass.name = 'S';
i2 = board.create('intersection', [ma, mc, 0], grass);
var c;
grass.name = 'U';
c = board.create('circumcircle',[A, B, C], {
strokeColor: '#000000',
dash: 3,
strokeWidth: 1,
point: grass
});
var euler;
euler = board.create('line', [i1, i2], {
strokeWidth: 2,
strokeColor:'#901B77'
});
board.update();
})();