New horizons in geometry /
Apostol, Tom M.
New horizons in geometry / Tom M. Apostol and Mamikon A. Mnatsakanian. - Washington : Mathematical Association of America, 2012. - xiv, 513 pages : color illustrations ; 27 cm. - Dolciani Mathematical Expositions ; no. 47 . - Dolciani mathematical expositions ; no. 47. .
Includes bibliographical references (pages 501-504) and index.
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.
Calculus problems solved by elementary geometrical methods --- P. 4 of cover.
9780883853542
Geometry.
Calculus.
New horizons in geometry / Tom M. Apostol and Mamikon A. Mnatsakanian. - Washington : Mathematical Association of America, 2012. - xiv, 513 pages : color illustrations ; 27 cm. - Dolciani Mathematical Expositions ; no. 47 . - Dolciani mathematical expositions ; no. 47. .
Includes bibliographical references (pages 501-504) and index.
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.
Calculus problems solved by elementary geometrical methods --- P. 4 of cover.
9780883853542
Geometry.
Calculus.