Title New horizons in geometry / Tom M. Apostol and Mamikon A. Mnatsakanian

Published Washington, D.C. : Mathematical Association of America, [2012] Mathematical Association of America South Korea ; Pasadena, CA : Charles Allen Imaging Experts ©2012

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Description 1 online resource (xiv, 513 pages) : color illustrations Series Dolciani Mathematical Expositions ; no. 47 Dolciani mathematical expositions ; no. 47. Contents Ch. 1. Mamikon's sweeping -- tangent theorem -- Ch. 2. Cycloids and trochoids -- Ch. 3. Cyclogons and trochogons -- Ch. 4. Circumgons and circumsolids -- Ch. 5. The method of punctured containers -- Ch. 6. Unwrapping curves from cylinders and cones -- Ch. 7. New descriptions of conics via twisted cylinders, focal disks, and directors -- Ch. 8. Ellipse to hyperbola: with this string I thee wed -- Ch. 9. Trammels -- Ch. 10. Isoperimetric and isoparametric problems -- Ch. 11. Arclength and tanvolutes -- Ch. 12. Centroids -- Ch. 13. New balancing principles with applications -- Ch. 14. Sums of squares Summary Calculus problems solved by elementary geometrical methods --- page 4 of cover Bibliography Includes bibliographical references (pages 501-504) and index Notes Print version record Subject Geometry. Calculus. geometry. calculus. MATHEMATICS -- Geometry -- General. Calculus Geometry Form Electronic book Author Mnatsakanian, Mamikon A., author, illustrator LC no. 2012949754 ISBN 9781614442103 161444210X 9781470443368 1470443368

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