A Book of Curves

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Cambridge University Press, 1967 - Curves, Plane - 198 pages
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Contents

The Parabola page
3
The Ellipse
9
The Hyperbola
25
The Cardioid
34
The Limacon
47
TheAstroid
52
The Nephroid
62
The Deltoid
73
Strophoids
135
Roulettes
139
Pedal Curves
153
Negative Pedals
157
Glissettes
161
Evolutes and Involutes
167
Spirals
173
Inversion
177

The Cycloid
81
The Right Strophoid
91
The Equiangular Spiral
99
The Lemniscate of Bernoulli
111
The Tractrix and Catenary
119
WAYS OF FINDING NEW CURVES
125
Conchoids
127
Cissoids
131
Caustic Curves
183
Bipolar Coordinates
187
FURTHER READING
191
GLOSSARY
192
INDEX OF NAMES
196
INDEX OF SUBJECTS
198
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Page 197 - ... there corresponds a definite value of y, then y is said to be a function of x on the interval a to b.

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