Difference between revisions of "Parabola"

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Line 2: Line 2:
 
That means the numbers below ''a'', ''b'', and ''c'' are updated if the points ''A'', ''B'', and ''C'' are dragged. And other way round,
 
That means the numbers below ''a'', ''b'', and ''c'' are updated if the points ''A'', ''B'', and ''C'' are dragged. And other way round,
 
these numbers are editable.
 
these numbers are editable.
 +
 +
See [[Slider and function plot]] for an easier example howto plot a parabola.
 +
 +
<jsxgraph box="box2" width="600" height="400">
 +
hook = true;
 +
board2 = JXG.JSXGraph.loadBoardFromString('box2', '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', 'Geonext');
 +
</jsxgraph>
 
<html>
 
<html>
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
 
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
 
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
 
 
<table style="border: 0px solid black; text-align: center" width="500px">
 
<table style="border: 0px solid black; text-align: center" width="500px">
<tr><td rowspan="2"><div id="box2" class='jxgbox' style="width:375.0px; height:150.0px; border:0px dashed black; "></div></td><th style="border: 1px solid black" width="100px">a</th><th style="border: 1px solid black" width="100px">b</th><th style="border: 1px solid black" width="100px">c</th></tr>
+
<tr>
<tr><td><input type="text" id="print_a" size="2" maxlength="7"  
+
  <th style="border: 1px solid black" width="100px">a</th>
 +
  <th style="border: 1px solid black" width="100px">b</th>
 +
  <th style="border: 1px solid black" width="100px">c</th>
 +
</tr>
 +
<tr>
 +
  <td><input type="text" id="print_a" size="2" maxlength="7"  
 
     style="border:none; text-align:right; font-size:1.2em; "
 
     style="border:none; text-align:right; font-size:1.2em; "
     onKeyUp="board2.getElement('A').setPositionX(JXG.COORDS_BY_USER,parseFloat(this.value)); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
+
     onKeyUp="board2.select('A').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
></td><td><input type="text" id="print_b" size="2" maxlength="7"  
+
></td>
 +
  <td><input type="text" id="print_b" size="2" maxlength="7"  
 
     style="border:none; text-align:right; font-size:1.2em; "
 
     style="border:none; text-align:right; font-size:1.2em; "
     onKeyUp="board2.getElement('B').setPositionX(JXG.COORDS_BY_USER,parseFloat(this.value)); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
+
     onKeyUp="board2.select('B').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
></td><td><input type="text" id="print_c" size="2" maxlength="7"  
+
></td>
 +
  <td><input type="text" id="print_c" size="2" maxlength="7"  
 
     style="border:none; text-align:right; font-size:1.2em; "
 
     style="border:none; text-align:right; font-size:1.2em; "
     onKeyUp="board2.getElement('C').setPositionX(JXG.COORDS_BY_USER,parseFloat(this.value)); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
+
     onKeyUp="board2.select('C').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
></td></tr>
+
></td>
</table>
+
</tr>
<script language="JavaScript">
+
</table>
hook = true;
+
</html>
board2 = JXG.JSXGraph.loadBoardFromString('box2', 'eNrtmm1v2zYQgD/bv4JAPteS7DgvmCYgSZNh2NACbVe0eykgW7TNRRYNiUrsFP3vuzseJblTXtwZWT8oAVre8cijyOfupIDhT5evX11+eBf1w/eXb97+/PpVFAyOg9BzUj+c6DhPon4vzOKljH6XarqQ2Sz9s/R9eQhtcRh61AUmKpvpfBkbpbMo9JoSdMalWegc9NwA1VQvlzIzoHMtUM50Zgp1J6NgHHqVgLMnEfhStBjW9cJlvFZLEJJoFqeFDL1agd3ryB/4obcmYWOFDQm3KjGLaHQ8RpUVUL2Qar4w4JtMWQKHnvUoBLjUSVlEw8AfHoGJlehhdJ6oLDYSRNFjhVuWFUg/z1WlpjZpiyxeOS21cTU6V3OFu0ePMvTrh8GnYdk+j+dscbI7rZduVLA1JmiMsFZoX2bKOPvxtpNx04e1wxFG5pWHhnVlafvRMo0nMnWm64btpjJmE7RelqlR908M+7TQt+tqo0io9JumnufmCe2BZEZlpabzIgdsXnlhmYc27QW7aO7Uw6NraxwLVFZeTV42h1mRR1k7HLHWeuNGzD/8KpuHMv9IMo+xljjmRsnblc55hUavokM8PWyQJpUzE70gHTVJOdHGAAjBYHwUeixQR07wjwYQdTnHAXirfYgec11TH9ZAA6+0YmFZpdXSKeS6KKqwIIFPJ4WscHDh4+/VFU6NCupL4mLB+0RNUq60guTQCJtagQHrVhJO4un1PNdlZlMC+7nin8oPdM1UKpmmfArI4b98AttBUceESyT+Vhqp8sh2FoFVORehWsZzGQ0GA0hp1ITcIgQcQGO1glSAYaIwixasIW0Smzg6G2x+HA3GuCsg9bc7z7GzvesCuobb4wh35wcVuHUylZiWCxfza0YGdlanyXuZF2BuKwblZToqnLHX43jDpP7p86fP7xaqEKAo4BSn6ETcxqDIJZCTiFtlFoJq0fqdwPkGX77Y+LNFAWdbruBElqtKWpO4ZnkdvRgNTtwREXGD4aE7JIAlzm2l4Qat1asWG8awqBvJjLFgO2CJEewU/c9PCAT6jkTS5DEEE1NoBbtNUAG5EFrFjSrUJHVunGSDNY+n0s1hBUuiyfW1tGRBEDXFfq/CuWEaHfjwc3Xl+86aYx8hVNkc+xF87K90ZAFsptHB+enL8+OXR4fEKidum6APcJBPsdlI6vZ5Dy5O8BeHNTbAa64O8iHtRCNH1ztTT4hnSWFRHyWJHG5N1xWxdZV1CttfRFmZpqDn3Pt3MYPzwH/5gV0yxpZ9GiiiwDvsNLcsBKXRLLOnhobrnY2N/xQkH3UpgDORl1kGpyLiTMAMMhc3dhKhZy5K9hAgweC0C5AuQJ43QLDSUJ2mksJfFWd/BH+5rwjBoTM/lGMbMKKOGFGjfDx2bxe0A1QFN2zs1daPcHu6Z27ZdGdwRw+CW5NrAfuK3K/RZQKb6Dp2bfdo2GC3gtfOvA3v/0ovTrH1EVUrKjq5p8LTvktV71R27zZwFAFu2YZfvrwKwVYez9t5PLqXx6DDscNxXzimKpNNGuMWFI/vQXGm8sJw7rRt7khjqz/CR3LqHcj8Tgr8+Ilg1vA8AKb9/PtGMOnt4DsBEzbLfWFWDLiyTQzUCFi1RYDm2RocSng7iOvzqURm72uacfcsrK159KI9j57sVNf9LpF2iXQ/df1lC4ynuxT1jsWOxf0U9UkLioH/WFU/uaeqn3ZVvavqz1XVL9vQDXao6cPu46jLo/uq6VdtNA6fXtQ7GDsY91XUp20sjh4r6pg7W6s6YtyV9a6sP09ZP2uD9/iBROp/j3/x/EZUd0ujj6DapdGWNHq0y9/f21C8/69G/r9Q9DsUOxT3guJFG4qnT0Zx2GXFDsXdUYRiXt+8wkt5dAeXroLBBsNC6Caf0TqdxHhFToRms5LRb28v38BhYhN1NpfKrDR3Mk/kTGVK5kaKX+w1rGu665VKVRhZUS7CRBbTXK3okkB8bUqZplJMnjhLc3DfXjKsVhkW8FBTI5OmFj9IWtT9fjgpQcro2i1e5GqI/RA2W8LYH/DWK7b64a12r0vY6tu7MXarPHfJ+R+tkHyx', 'Geonext');
 
 
  
board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 50});
+
<jsxgraph box="box" width="600" height="400">
// Axes
+
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 7, -3], axis: true});
b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
 
b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
 
  
curve = board.createElement('curve', [function(t){ return t; }, function(t){ return JXG.GetReferenceFromParameter(board2, 'A').X()*t*t+JXG.GetReferenceFromParameter(board2, 'B').X()*t+JXG.GetReferenceFromParameter(board2, 'C').X(); }, "t", -10, 10]);
+
var curve = board.create('functiongraph', [function(t){  
 +
        return board2.select('A').X() * t * t + board2.select('B').X() * t + board2.select('C').X();  
 +
    }, -10, 10]);
 
 
function print_table(board) {
+
function print_table() {
 
   if (hook){
 
   if (hook){
     $('print_a').value = board.round(JXG.GetReferenceFromParameter(board, 'A').X(),2);
+
     document.getElementById('print_a').value = board2.select('A').X().toFixed(2);
     $('print_b').value = board.round(JXG.GetReferenceFromParameter(board, 'B').X(),2);
+
     document.getElementById('print_b').value = board2.select('B').X().toFixed(2);
     $('print_c').value = board.round(JXG.GetReferenceFromParameter(board, 'C').X(),2);
+
     document.getElementById('print_c').value = board2.select('C').X().toFixed(2);
 
   }
 
   }
 
};
 
};
+
 
print_table_id = board2.addHook(print_table);
+
board2.addChild(board);
</script>
+
</html>
+
print_table_id = board2.on('update', print_table);
 +
</jsxgraph>
  
 
===The underlying JavaScript code===
 
===The underlying JavaScript code===
 
<source lang="html4strict">
 
<source lang="html4strict">
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
+
 
 +
<div id="box2" class='jxgbox' style="width:375px; height:150px;"></div>
 +
 
 
<table style="border: 0px solid black; text-align: center" width="500px">
 
<table style="border: 0px solid black; text-align: center" width="500px">
 
<tr>
 
<tr>
  <td rowspan="2"><div id="box2" class='jxgbox' style="width:375.0px; height:150.0px;
 
                                        border:0px dashed black; "></div></td>
 
 
   <th style="border: 1px solid black" width="100px">a</th>
 
   <th style="border: 1px solid black" width="100px">a</th>
 
   <th style="border: 1px solid black" width="100px">b</th>
 
   <th style="border: 1px solid black" width="100px">b</th>
Line 56: Line 65:
 
</tr>
 
</tr>
 
<tr>
 
<tr>
   <td><input type="text" id="print_a" size="2" maxlength="7" style="border:none; text-align:right; font-size:1.2em; "
+
   <td><input type="text" id="print_a" size="2" maxlength="7"  
     onKeyUp="board2.getElement('A').setPositionX(JXG.COORDS_BY_USER,parseFloat(this.value)); board2.update(); board.update();"  
+
    style="border:none; text-align:right; font-size:1.2em; "
    onfocus="hook=false;" onblur="hook=true"
+
     onKeyUp="board2.select('A').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
    ></td>
+
  ></td>
   <td><input type="text" id="print_b" size="2" maxlength="7"style="border:none; text-align:right; font-size:1.2em; "
+
   <td><input type="text" id="print_b" size="2" maxlength="7"  
     onKeyUp="board2.getElement('B').setPositionX(JXG.COORDS_BY_USER,parseFloat(this.value)); board2.update(); board.update();"  
+
    style="border:none; text-align:right; font-size:1.2em; "
    onfocus="hook=false;" onblur="hook=true
+
     onKeyUp="board2.select('B').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
    ></td>
+
  ></td>
   <td><input type="text" id="print_c" size="2" maxlength="7" style="border:none; text-align:right; font-size:1.2em; "
+
   <td><input type="text" id="print_c" size="2" maxlength="7"  
     onKeyUp="board2.getElement('C').setPositionX(JXG.COORDS_BY_USER,parseFloat(this.value)); board2.update(); board.update();"
+
    style="border:none; text-align:right; font-size:1.2em; "
    onfocus="hook=false;" onblur="hook=true"
+
     onKeyUp="board2.select('C').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
 
   ></td>
 
   ></td>
 
</tr>
 
</tr>
 
</table>   
 
</table>   
 +
 +
<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
 
</source>
 
</source>
  
Line 75: Line 86:
 
hook = true;
 
hook = true;
 
board2 = JXG.JSXGraph.loadBoardFromString('box2', 'eNrtmm1v2zYQgD/bv4JAPteS7D...Y6tu7MXarPHfJ+R+tkHyx', 'Geonext');
 
board2 = JXG.JSXGraph.loadBoardFromString('box2', 'eNrtmm1v2zYQgD/bv4JAPteS7D...Y6tu7MXarPHfJ+R+tkHyx', 'Geonext');
board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 50});
 
// Axes
 
b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
 
b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
 
  
curve = board.createElement('curve',  
+
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 7, -3], axis: true});
                [function(t){ return t; },
+
 
                  function(t){ return JXG.GetReferenceFromParameter(board2, 'A').X()*t*t+
+
var curve = board.create('functiongraph', [function(t){  
                                      JXG.GetReferenceFromParameter(board2, 'B').X()*t+
+
        return board2.select('A').X() * t * t + board2.select('B').X() * t + board2.select('C').X();  
                                      JXG.GetReferenceFromParameter(board2, 'C').X();  
+
    }, -10, 10]);
                  },
 
                  "t", -10, 10]);
 
 
 
function print_table(board) {
+
function print_table() {
 
   if (hook){
 
   if (hook){
     $('print_a').value = board.round(JXG.GetReferenceFromParameter(board, 'A').X(),2);
+
     document.getElementById('print_a').value = board2.select('A').X().toFixed(2);
     $('print_b').value = board.round(JXG.GetReferenceFromParameter(board, 'B').X(),2);
+
     document.getElementById('print_b').value = board2.select('B').X().toFixed(2);
     $('print_c').value = board.round(JXG.GetReferenceFromParameter(board, 'C').X(),2);
+
     document.getElementById('print_c').value = board2.select('C').X().toFixed(2);
 
   }
 
   }
 
};
 
};
+
 
print_table_id = board2.addHook(print_table);
+
board2.addChild(board);
 +
 +
print_table_id = board2.on('update', print_table);
 
</source>
 
</source>
 +
 +
===GEONExT Construction used in this example===
 +
 +
[[Media:Sliders.gxt|Sliders.gxt]]
  
 
[[Category:Examples]]
 
[[Category:Examples]]
 
[[Category:Calculus]]
 
[[Category:Calculus]]

Latest revision as of 16:11, 15 January 2021

This is an example for JSXGraph with two boards and so called hooks into HTML. That means the numbers below a, b, and c are updated if the points A, B, and C are dragged. And other way round, these numbers are editable.

See Slider and function plot for an easier example howto plot a parabola.

a b c

The underlying JavaScript code

<div id="box2" class='jxgbox' style="width:375px; height:150px;"></div>

<table style="border: 0px solid black; text-align: center" width="500px">
<tr>
  <th style="border: 1px solid black" width="100px">a</th>
  <th style="border: 1px solid black" width="100px">b</th>
  <th style="border: 1px solid black" width="100px">c</th>
</tr>
<tr>
  <td><input type="text" id="print_a" size="2" maxlength="7" 
    style="border:none; text-align:right; font-size:1.2em; "
    onKeyUp="board2.select('A').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
  ></td>
  <td><input type="text" id="print_b" size="2" maxlength="7" 
    style="border:none; text-align:right; font-size:1.2em; "
    onKeyUp="board2.select('B').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
  ></td>
  <td><input type="text" id="print_c" size="2" maxlength="7" 
    style="border:none; text-align:right; font-size:1.2em; "
    onKeyUp="board2.select('C').moveTo([parseFloat(this.value),0]); board2.update(); board.update();" onfocus="hook=false;" onblur="hook=true"
  ></td>
</tr>
</table>  

<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
hook = true;
board2 = JXG.JSXGraph.loadBoardFromString('box2', 'eNrtmm1v2zYQgD/bv4JAPteS7D...Y6tu7MXarPHfJ+R+tkHyx', 'Geonext');

var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 5, 7, -3], axis: true});

var curve = board.create('functiongraph', [function(t){ 
        return board2.select('A').X() * t * t + board2.select('B').X() * t + board2.select('C').X(); 
    }, -10, 10]);						
			
function print_table() {
  if (hook){
    document.getElementById('print_a').value = board2.select('A').X().toFixed(2);
    document.getElementById('print_b').value = board2.select('B').X().toFixed(2);
    document.getElementById('print_c').value = board2.select('C').X().toFixed(2);
  }
};

board2.addChild(board);
			
print_table_id = board2.on('update', print_table);

GEONExT Construction used in this example

Sliders.gxt