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by C. Zwikker
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ISBN: 0486442764 Dover Publications Price: $60.00 |
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This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage includes both algebraic and transcendental curves, plus examinations of the less-common curves, including derived curves and their important applications. 1950 edition.
Unabridged republication of Advanced Plane Geometry, published by North-Holland Publishing Company, Amsterdam, 1950.
Table of Contents for The Advanced Geometry of Plane Curves and Their Applications
| I. The plane | |||||||
| II. The geometrical interpretation of analytic operations applied to complex numbers | |||||||
| III. The straight line | |||||||
| IV. The triangle | |||||||
| V. The circle | |||||||
| VI. Algebraic curves | |||||||
| VII. Ellipse | |||||||
| VIII. Hyperbola | |||||||
| IX. Parabola | |||||||
| X. Involutes, evolutes and anticasutics | |||||||
| XI. Pedals and other derived curves | |||||||
| XII. Areas and other integrals | |||||||
| XIII. Envelopes | |||||||
| XIV. Orthogonal trajectories | |||||||
| XV. Kinked curves | |||||||
| XVI. Spirals | |||||||
| XVII. Lemniscate | |||||||
| XCIII. Cyxcoid | |||||||
| XIX. Epi- and hypocycloids | |||||||
| XX. Cardioid and limaçon | |||||||
| XXI. Gear wheel tooth profiles | |||||||
| Appendixes | |||||||
| Index |