000 | 03602nam a2200181Ia 4500 | ||
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008 | 160408s9999 xx 000 0 und d | ||
020 | _a0408013036 | ||
082 |
_a516 _bBOW |
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100 |
_aBowyer, Adrian _946434 |
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245 | _aProgrammer's geometry | ||
260 |
_aLondon _bButterworths _c1984 |
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300 | _axii,140p. | ||
505 | _aCONTENTS 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 | ||
600 | _952669 | ||
700 |
_aWoodwark, John _946435 |
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890 | _aUK | ||
891 | _aGratis from Dr. Bharat Dave | ||
999 |
_c43572 _d43572 |