Apostol, Tom M. <br/><br/>
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. .
<br/><br/>Includes bibliographical references (pages 501-504) and index. 
<br/><br/>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. 
<br/><br/> Calculus problems solved by elementary geometrical methods --- P. 4 of cover. 
<br/><br/><label>ISBN: </label>9780883853542 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Geometry.<br/>Calculus.