Centroid

Centroid in affine space

The underlying JavaScript code

JXG.Options.label.autoPosition = true;
JXG.Options.text.useMathJax = true;
JXG.Options.text.fontSize = 24;

var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5], showCopyright:false, showNavigation:false});

var p1 = board.create('point', [-3,-3], {name:'\\(p_1\\)'});
var p2 = board.create('point', [0, 3], {name:'\\(p_2\\)'});
var p3 = board.create('point', [3, -4], {name:'\\(p_3\\)'});

var l1 = board.create('arrow', [p1, p2], {withLabel: true, name:'\\(\\vec{v}\\)', label:{position: 'bot', offset:[-25, 0]}, lastArrow: {type: 4, size: 8}});
var l2 = board.create('arrow', [p1, p3], {withLabel: true, name:'\\(\\vec{w}\\)', label:{position: 'top', offset:[25, -25]}, lastArrow: {type: 4, size: 8}});
var l3 = board.create('arrow', [p2, p3], {});

var m1 = board.create('midpoint', [p2, p3], {name:'\\(m_1\\)'});
var m2 = board.create('midpoint', [p1, p3], {name:'\\(m_2\\)'});
var m3 = board.create('midpoint', [p1, p2], {name:'\\(m_3\\)'});

var s1 = board.create('segment', [p1, m1], {});
var s2 = board.create('segment', [p2, m2], {});
var s3 = board.create('segment', [p3, m3], {});

var s = board.create('intersection', [s1, s2], {name:'\\(s\\)'});