Two Geometrical Memoirs On The General Properties Of Cones Of The Second Degree And Of The Spherical Conics (1841)

""Two Geometrical Memoirs On The General Properties Of Cones Of The Second Degree And Of The Spherical Conics"" is a book written by Michel Chasles in 1841. The book is a collection of two memoirs that explore the properties of cones of the second degree and spherical conics. The first memoir focuses on the general properties of cones of the second degree, which are three-dimensional shapes that can be formed by rotating a conic section (such as an ellipse or hyperbola) around one of its axes. Chasles discusses the various types of cones of the second degree and their properties, including their intersections with other cones, their centers, and their axes. He also explores the relationship between cones of the second degree and other geometric shapes, such as spheres and cylinders.The second memoir focuses on spherical conics, which are the two-dimensional curves that result from the intersection of a plane with a sphere. Chasles discusses the various types of spherical conics, including circles, ellipses, parabolas, and hyperbolas. He explores their properties, such as their foci, axes, and centers, and discusses their relationship to other geometric shapes, such as cones and cylinders.Overall, ""Two Geometrical Memoirs On The General Properties Of Cones Of The Second Degree And Of The Spherical Conics"" is a comprehensive exploration of two important areas of geometry, written by a renowned mathematician of the 19th century. It is a valuable resource for anyone interested in the study of geometry and its applications.And An Appendix On The Application Of Analysis To Spherical Geometry.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.