Five Circle Theorem: Difference between revisions

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Line 1: Line 1:
<jsxgraph width="600" height="600">
<jsxgraph width="600" height="600">
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
var p = [];
var p = [], l = [], i = [], c = [], j = [], k;
var l = [];
var i = [];
var c = [];
var j = [];


p[0] = brd.createElement('point',[-2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#3355ff'});
p[0] = brd.create('point',[-2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[1] = brd.createElement('point',[-0,4],{name:''});
p[1] = brd.create('point',[-0,4],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[2] = brd.createElement('point',[2.5,-3],{name:''});
p[2] = brd.create('point',[2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[3] = brd.createElement('point',[-4,0],{name:''});
p[3] = brd.create('point',[-4,0],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[4] = brd.createElement('point',[4,0],{name:''});
p[4] = brd.create('point',[4,0],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});


for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   l[k] = brd.createElement('segment',[p[k],p[(k+1)%5]],{});
   l[k] = brd.create('segment',[p[k],p[(k+1)%5]],{strokeColor:'black',strokeWidth:1});
}
}


for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   i[k] = brd.createElement('point',[brd.intersection(l[k],l[(k+2)%5],0)],{name:''});
   i[k] = brd.create('intersection',[l[k],l[(k+2)%5],0],{name:'',strokeColor:'#EAEA00',fillColor:'#EAEA00'});
}
}


for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   c[k] = brd.createElement('circumcircle',[p[k],i[k],i[(k+2)%5]],{});
   c[k] = brd.create('circumcircle',[p[k],i[k],i[(k+2)%5]],{strokeColor:'gray', strokeWidth:1, point: {visible: false}});
  c[k][1].setProperty({strokeColor:'gray',strokeWidth:1});
  c[k][0].setProperty({visible:false});
  l[k].setProperty({strokeColor:'gray',strokeWidth:1});
}
}
for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   j[k] = brd.createElement('point',[brd.intersection(c[k][1],c[(k+2)%5][1],0)],{style:4,name:''});
   j[k] = brd.create('intersection',[c[k],c[(k+2)%5],0],{name:'',strokeColor:'#EA0000',fillColor:'#EA0000'});
}
}


cc = brd.createElement('circumcircle',[j[0],j[2],j[3]],{strokeColor:'red'});
cc = brd.create('circumcircle',[j[0],j[2],j[3]],{strokeColor:'red',strokeWidth:2,point:{strokeColor:'#000000',fillColor:'#000000',size:1}});
cc[1].setProperty({strokeColor:'red',strokeWidth:2});
brd.update();
 
</jsxgraph>
</jsxgraph>


Line 40: Line 32:
<source lang="javascript">
<source lang="javascript">
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
var p = [];
var p = [], l = [], i = [], c = [], j = [], k;
var l = [];
var i = [];
var c = [];
var j = [];


p[0] = brd.createElement('point',[-2.5,-3],{name:''});
p[0] = brd.create('point',[-2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[1] = brd.createElement('point',[-0,4],{name:''});
p[1] = brd.create('point',[-0,4],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[2] = brd.createElement('point',[2.5,-3],{name:''});
p[2] = brd.create('point',[2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[3] = brd.createElement('point',[-4,0],{name:''});
p[3] = brd.create('point',[-4,0],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[4] = brd.createElement('point',[4,0],{name:''});
p[4] = brd.create('point',[4,0],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});


for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   l[k] = brd.createElement('segment',[p[k],p[(k+1)%5]],{});
   l[k] = brd.create('segment',[p[k],p[(k+1)%5]],{strokeColor:'black',strokeWidth:1});
}
}


for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   i[k] = brd.createElement('point',[brd.intersection(l[k],l[(k+2)%5],0)],{name:''});
   i[k] = brd.create('intersection',[l[k],l[(k+2)%5],0],{name:'',strokeColor:'#EAEA00',fillColor:'#EAEA00'});
}
}


for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   c[k] = brd.createElement('circumcircle',[p[k],i[k],i[(k+2)%5]],{});
   c[k] = brd.create('circumcircle',[p[k],i[k],i[(k+2)%5]],{strokeColor:'gray', strokeWidth:1, point: {visible: false}});
  c[k][1].setProperty({strokeColor:'gray',strokeWidth:1});
  c[k][0].setProperty({visible:false});
  l[k].setProperty({strokeColor:'gray',strokeWidth:1});
}
}
for (k=0;k<5;k++) {
for (k=0;k<5;k++) {
   j[k] = brd.createElement('point',[brd.intersection(c[k][1],c[(k+2)%5][1],0)],{style:4,name:''});
   j[k] = brd.create('intersection',[c[k],c[(k+2)%5],0],{name:'',strokeColor:'#EA0000',fillColor:'#EA0000'});
}
}


cc = brd.createElement('circumcircle',[j[0],j[2],j[3]],{strokeColor:'red'});
cc = brd.create('circumcircle',[j[0],j[2],j[3]],{strokeColor:'red',strokeWidth:2,point:{strokeColor:'#000000',fillColor:'#000000',size:1}});
cc[1].setProperty({strokeColor:'red',strokeWidth:2});
brd.update();
</source>
</source>


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

Latest revision as of 15:10, 20 February 2013

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-5,5,5,-5]});
var p = [], l = [], i = [], c = [], j = [], k;

p[0] = brd.create('point',[-2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[1] = brd.create('point',[-0,4],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[2] = brd.create('point',[2.5,-3],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[3] = brd.create('point',[-4,0],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});
p[4] = brd.create('point',[4,0],{name:'',strokeColor:'#7355ff',fillColor:'#7355ff'});

for (k=0;k<5;k++) {
   l[k] = brd.create('segment',[p[k],p[(k+1)%5]],{strokeColor:'black',strokeWidth:1});
}

for (k=0;k<5;k++) {
   i[k] = brd.create('intersection',[l[k],l[(k+2)%5],0],{name:'',strokeColor:'#EAEA00',fillColor:'#EAEA00'});
}

for (k=0;k<5;k++) {
   c[k] = brd.create('circumcircle',[p[k],i[k],i[(k+2)%5]],{strokeColor:'gray', strokeWidth:1, point: {visible: false}});
}
for (k=0;k<5;k++) {
   j[k] = brd.create('intersection',[c[k],c[(k+2)%5],0],{name:'',strokeColor:'#EA0000',fillColor:'#EA0000'});
}

cc = brd.create('circumcircle',[j[0],j[2],j[3]],{strokeColor:'red',strokeWidth:2,point:{strokeColor:'#000000',fillColor:'#000000',size:1}});
brd.update();
Retrieved from "http://jsxgraph.org/wiki/index.php?title=Five_Circle_Theorem&oldid=5982"