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" New horizons in geometry / "
Tom M. Apostol and Mamikon A. Mnatsakanian
Document Type
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BL
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Record Number
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588492
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Doc. No
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b417711
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Main Entry
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Apostol, Tom M.
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Title & Author
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New horizons in geometry /\ Tom M. Apostol and Mamikon A. Mnatsakanian
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Series Statement
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Dolciani Mathematical Expositions ;; no. 47
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Page. NO
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xiv, 513 pages :: color illustrations ;; 27 cm
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ISBN
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9780883853542
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: 088385354X
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Bibliographies/Indexes
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Includes bibliographical references (pages 501-504) and index
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Contents
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Mamikon's sweeping -- tangent theorem -- Cycloids and trochoids -- Cyclogons and trochogons -- Circumgons and circumsolids -- The method of punctured containers -- Unwrapping curves from cylinders and cones -- New descriptions of conics via twisted cylinders, focal disks, and directors -- Ellipse to hyperbola: "with this string I thee wed" -- Trammels -- Isoperimetric and isoparametric problems -- Arclength and tanvolutes -- Centroids -- New balancing principles with applications -- Sums of squares
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Abstract
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Calculus problems solved by elementary geometrical methods --- P. 4 of cover
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Subject
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Geometry
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Subject
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Calculus
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Dewey Classification
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516
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LC Classification
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QA445.A66 2012
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QA445.A66 2012
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Added Entry
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Mnatsakanian, Mamikon A
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