Product Description
High Quality Content by WIKIPEDIA articles! In Euclidean plane geometry, Apollonius' problem is to construct circles that are tangent to three given circles in a plane. Apollonius of Perga posed and solved this famous problem in his work ??????; this work has been lost, but a 4th-century report of his results by Pappus of Alexandria has survived. Three given circles generically have eight different circles that are tangent to them and each solution circle encloses or excludes the three given circles in a different way.In the 16th century, Adriaan van Roomen solved the problem using intersecting hyperbolas, but this solution does not use only straightedge and compass constructions. François Viète found such a solution by exploiting limiting cases: any of the three given circles can be shrunk to zero radius or expanded to infinite radius. ... Read more

Product Description
High Quality Content by WIKIPEDIA articles! n Euclidean plane geometry, Apollonius' problem is to construct circles that are tangent to three given circles in a plane. Apollonius of Perga (ca. 262 BC ? ca. 190 BC) posed and solved this famous problem in his work ?????? (Epaphaí, "Tangencies"); this work has been lost, but a 4th-century report of his results by Pappus of Alexandria has survived. Three given circles generically have eight different circles that are tangent to them (Figure 2) and each solution circle encloses or excludes the three given circles in a different way. ... Read more

Product Description
Encyclopedia Britannica Great Books of the Western World Volume 11, first edition (later printing), 848 pages. 8vo (9.5" x 6.5") Contents: Euclid: The Thirteen Books of Euclid's Elements; Archimedes: On the Sphere and Cylinder, Measurement of a Circle, On Conoids and Spheroids, On Spirals, On the Equilibrium of Planes, The Sand-Reckoner, The Quadrature of the Parabola, On Floating Bodies. Book of Lemmas. and The Method Treating of Mechanical Problems; Apollonius of Perga: On Conic Sections; Nicomachus of Gerasa: Introduction to Arithmetic. The Euclid and Archimedes are translated by Sir Thomas L. Heath, and is licensed from Cambridge University Press. Apollonius is translated by R. Catesby Taliaferro. Nichomachus is translated by Martin L. D'Ooge. The Apollonius was omitted from the revised 60 volume set of the Great Books issued in the 1990s. ... Read more

Product Description
New, 13th. Edition. 1988. Hard cover. Volume 11. GOLD GILT top page edges. ** ONE BOOK ONLY ** ... Read more

Product Description
This is the first edition of the original text of the advanced part of the most important work on conic sections written in antiquity and one of the most influential works in mathematics. It is also the first literal English translation of it ever to be published. The purpose of the work is to make available, to those interested in the history of science and to mathematicians, a version of the work as close to the original as possible. This part of Apollonius' Conics is lost in the original Greek, and only an Arabic translation made in the 9th century survives. This text has never been published previously, and all "editions" of this part of Apollonius' work are based on the Latin translation from the Arabic published by Edmund Halley in 1710, which suffers from Halley's insufficient knowledge of Arabic and his use of a single manuscript. The present edition is based on all known manuscripts.Its other improvements over Halley's edition are: 1) the Arabic text with a full critical apparatus; 2) an accurate English translation (until now only a loose paraphrase, based on Halley's translation, has been available in English); 3) a commentary to elucidate both mathematical and historical difficulties. This book will replace Halley's edition and all its derivatives as the standard edition of this part of Apollonius' work. ... Read more