1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
|
<!DOCTYPE html>
<html>
<head>
<title>Plane–sphere intersection</title>
<meta charset="utf-8" />
<link rel="stylesheet" type="text/css" href="../distrib/jsxgraph.css" />
<script type="text/javascript" src="../distrib/jsxgraphcore.js"></script>
</head>
<body>
<div id="jxgbox" class="jxgbox" style="width:800px; height:800px; float:left"></div>
<script type="text/javascript">
let board = JXG.JSXGraph.initBoard(
'jxgbox',
{
boundingbox: [-8, 8, 8,-8],
axis: false,
showcopyright: false,
shownavigation: false
}
);
let view = board.create(
'view3d',
[[-6, -3], [8, 8],
[[0, 3], [0, 3], [0, 3]]],
{
xPlaneRear: {fillOpacity: 0.2, gradient: null},
yPlaneRear: {fillOpacity: 0.2, gradient: null},
zPlaneRear: {fillOpacity: 0.2, gradient: null},
bank: {slider: {visible: true}}
}
);
// Control sliders
let offset = board.create(
'slider',
[
[-6, 7.5], [2, 7.5],
[0, 4/3, 3]
], {
name: 'plane offset'
}
);
let radius = board.create(
'slider',
[
[-6, 7], [2, 7],
[0, 2/3, 1]
], {
name: 'sphere radius'
}
);
// Plane
let basePt = view.create(
'point3d',
[
() => offset.Value(),
() => offset.Value(),
() => offset.Value()
],
{visible: false}
);
let plane = view.create(
'plane3d',
[basePt, [-2, 1, 1], [1, -2, 1]],
{
strokeWidth: 1,
strokeColor: '#00ff80',
strokeOpacity: 0.5,
fillColor: '#00ff80',
fillOpacity: 0.1,
gradient: null
}
);
// Spheres
let center = view.create(
'point3d',
[1.5, 1.5, 1.5],
{
withLabel: false,
size: 5,
strokeWidth: 1,
strokeColor: '#600030',
fillColor: 'white',
gradient: 'radial',
gradientSecondColor: '#a00050',
gradientFX: 0.7,
gradientFY: 0.3,
highlightStrokeColor: '#600030'
}
);
let sphere = view.create(
'sphere3d',
[center, () => radius.Value()],
{
strokeColor: '#0000ff',
strokeOpacity: 0.5,
fillColor: 'white',
gradient: 'radial',
gradientSecondColor: '#0000ff',
gradientFX: 0.7,
gradientFY: 0.3,
fillOpacity: 0.2
}
);
// Intersection circle
let ixnCircle = view.create(
'intersectioncircle3d',
[plane, sphere],
{
strokeColor: 'black',
strokeOpacity: 0.5
}
);
</script>
</body>
</html>
|
