<iframe src="https://jsxgraph.org/share/iframe/euler-line" style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" name="JSXGraph example: Euler line" allowfullscreen ></iframe>
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; "> <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div> </div> <script type = "text/javascript"> /* This example is licensed under a Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const BOARDID = 'board-0'; const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio: true }); // Set visual attributes 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 }, // Construct triangle ABC 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' } }); // Orthocenter H 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); // Centroid S 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); // Circumccenter U grass.name = 'U'; var c = board.create('circumcircle', [A, B, C], { strokeColor: '#000000', dash: 3, strokeWidth: 1, center: grass }); // Euler line: U, H and S are collinear var euler = board.create('line', [i1, i2], { strokeWidth: 2, strokeColor: '#901B77' }); </script>
/* This example is licensed under a Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const BOARDID = 'your_div_id'; // Insert your id here! const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio: true }); // Set visual attributes 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 }, // Construct triangle ABC 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' } }); // Orthocenter H 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); // Centroid S 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); // Circumccenter U grass.name = 'U'; var c = board.create('circumcircle', [A, B, C], { strokeColor: '#000000', dash: 3, strokeWidth: 1, center: grass }); // Euler line: U, H and S are collinear var euler = board.create('line', [i1, i2], { strokeWidth: 2, strokeColor: '#901B77' });
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Euler line" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false"> /* This example is licensed under a Creative Commons Attribution 4.0 International License. https://creativecommons.org/licenses/by/4.0/ Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits. */ const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio: true }); // Set visual attributes 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 }, // Construct triangle ABC 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' } }); // Orthocenter H 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); // Centroid S 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); // Circumccenter U grass.name = 'U'; var c = board.create('circumcircle', [A, B, C], { strokeColor: '#000000', dash: 3, strokeWidth: 1, center: grass }); // Euler line: U, H and S are collinear var euler = board.create('line', [i1, i2], { strokeWidth: 2, strokeColor: '#901B77' }); </jsxgraph>
// Define the id of your board in BOARDID const board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-1.5, 2, 1.5, -1], keepaspectratio: true }); // Set visual attributes 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 }, // Construct triangle ABC 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' } }); // Orthocenter H 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); // Centroid S 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); // Circumccenter U grass.name = 'U'; var c = board.create('circumcircle', [A, B, C], { strokeColor: '#000000', dash: 3, strokeWidth: 1, center: grass }); // Euler line: U, H and S are collinear var euler = board.create('line', [i1, i2], { strokeWidth: 2, strokeColor: '#901B77' });
This example is licensed under a Creative Commons Attribution 4.0 International License. Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.