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|All Authors / Contributors:||
Tom M Apostol; M A Mnat︠s︡akani︠a︡n
|Description:||xiv, 513 pages : color illustrations ; 27 cm.|
|Contents:||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" --
Isoperimetric and isoparametric problems --
Arclength and tanvolutes --
New balancing principles with applications --
Sums of squares.
|Series Title:||Dolciani mathematical expositions, no. 47.|
|Responsibility:||Tom M. Apostol and Mamikon A. Mnatsakanian.|
A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus.
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