The First Six Books of the Elements of Euclid

by John Casey

Geometry is the Science of figured Space. FiguredSpace is of one, two, or three dimensions, according asit consists of lines, surfaces, or solids. The boundaries ofsolids are surfaces; of surfaces, lines; and of lines, points.Thus it is the province of Geometry to investigate theproperties of solids, of surfaces, and of the figures describedon surfaces. The simplest of all surfaces is the plane, andthat department of Geometry which is occupied with thelines and curves drawn on a plane is called Plane Geometry;that which demonstrates the properties of solids, of curvedsurfaces, and the figures described on curved surfaces, is Geometry of Three Dimensions. The simplest lines thatcan be drawn on a plane are the right line and circle, andthe study of the properties of the point, the right line, andthe circle, is the introduction to Geometry, of which itforms an extensive and important department. This is thepart of Geometry on which the oldest Mathematical Bookin existence, namely, Euclid's Elements, is written, and is thesubject of the present volume

Genres: Mathematics, Science, Nonfiction, History, Classics, Ancient

376 pages, Paperback

First published January 26, 2013

About the author

John Casey (12 May 1820, Kilbehenny, County Limerick, Ireland – 3 January 1891, Dublin) was a respected Irish geometer. He is most famous for Casey's theorem on a circle that is tangent to four other circles, an extension of Ptolemy's theorem. However, he contributed several novel proofs and perspectives on Euclidean geometry. He and Émile Lemoine are considered to be the co-founders of the modern geometry of the circle and the triangle.

Source: Wikipedia