TY  - BOOK
AU  - Bowyer, Adrian
AU  - Woodwark, John
TI  - Programmer's geometry
SN  - 0408013036
U1  - 516 
PY  - 1984///
CY  - London 
PB  - Butterworths
KW  -  
N1  - CONTENTS
Introduction 1
1 Points and lines 5
1	Distance between Two Points 5
2	Equations of a Line 7
3	Distance from a Point to a Line 12
4	Angle between Two Lines 13
5	Intersection of Two Lines 16
6	Line through Two Points 19
7	Line Equidistant from Two Points 20
8	Normal to a Line through a Point 21
2	Points, lines and circles 23
1	Equations of a Circle 23
2	Intersections of a Line and a Circle 25
3	Intersections of Two Circles 27
4	Tangents from a Point to a Circle 29
5	Tangents to a Circle Normal to a Line 31
6	Tangents between Two Circles 33
7	Circles of Given Radius through Two Points 35
8	Circles of Given Radius through a Point and Tangent to a Line 36
9	Circles of Given Radius Tangent to Two Lines 38
10	Circles of Given Radius through a Point and Tangent to a Circle 40
11	Circles of Given Radius Tangent to a Line and a Circle 42
12	Circles of Given Radius Tangent to Two Circles 45
3	Points, line segments and arcs 46
1	Representation of a Line Segment 46
2	Distance from a Point to a Line Segment 47
3	Intersection of Two Line Segments 48
4	Representation of an Arc 53
5	Distance from a Point to an Arc 56
6	Intersections of a Line Segment and an Arc 58
7	Intersections of Two Arcs 61
4    Areas 62
1	Area of a Triangle 62
2	Centre of Gravity of a Triangle 63
3	Incentre of a Triangle 64
4	Circumcentre of a Triangle 65
5	Representation of  a Polygon 66 
6	Aorea of a Potygon 69
7	Centre of Gravity of a Polygon 70
8	Centre of Gravity of a Sector and Segment 72
5     Curves other than circles 74
1	General Implicit Quadratic Equations 74
2	Interpolation Using Geneial Implicit Quadratics 75
3	Parametric Polynomials 76
4	Interpolation Using Parametric Polynomials 77
5	Parametric Spline Curves 79
6	Radius of Curvature 82
6	Vectors, matrices and transformations 83
1	Vectors 83
2	Matrices 86
3	Determinants 87
4	Transformations 88
5	Perspective 90
7	Points, lines and planes 96
1	Distance between Two Points in Space 96
2	Equations of a Straight Line in Space 97
3	Distance from a Point to a Line in Space 98
4	Distance between Two Lines in Space 100
5	Angle between Two Lines in Space 101
6	Line through Two Points in Space 103
7	Equation of a Plane 104
8	Distance from a Point to a Plane 107
9	Angle between a Line and a Plane 108
10	Angle between two Planes 110
11	Intersection of a Line and a Plane 111
12	Intersection of Three Planes 112
13	Intersection of Two Planes 113
14	Plane through Three Points 114
15	Plane tirough a Point and Normal to a Line 116
16	Plane through Two Points and Parallel to a Line 116
8	Volumes 118
1	Volume of a Tetrahedron 118
2	Centre of Gravity and Surface Area of a Tetrahedron 119
3	Circumcentre of a Tetrahedron 120
4	Volume and Surface Area of a Cylinder and of a Sphere 122
5	Volume and Centre of Gravity of a Sector of a Sphere 123
6	Volume, Surface Area and Centre of Gravity of a Cone 124
9     Drawing pictures     126
1	Line and Pixel Devices	126
2	Circles on Line Devices	127
3	Arcs on Line Devices	129
4	Lines on Pixel Devices	130
5	Circles on Pixel Devices	131
6	Clipping 133
References     138

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