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

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Calculus problems solved by elementary geometrical methods --- P. 4 of cover.

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Bibliographic Details
Main Authors: Apostol, Tom M. (Author), Mnatsakanian, Mamikon A. (Author, Illustrator)
Language:English
Published: Washington, D.C. : Mathematical Association of America, [2012]..
Series:Dolciani mathematical expositions ; no. 47.
Subjects:
Geometry.
Calculus.
Physical Description:xiv, 513 pages : color illustrations ; 27 cm.
Format: Book
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.