# Elements of Geometry: And the First Principles of Modern Geometry

Sheldon & Company, 1878 - Geometry - 209 pages

### Contents

 PLANE GEOMETRY 2 PARALLEL LINES 9 BOOK II 34 RELATIVE POSITION OF CIRCLES 48 BOOK III 63 BOOK IV 105 SOLID GEOMETRY 117
 BOOK VI 138 BOOK VII 147 BOOK VIII 165 MODERN GEOMETRY 187 HARMONIC PROPORTION 196 RECIPROCAL POLARS 202

### Popular passages

Page 19 - IF two triangles have two sides of the one equal to two sides of the...
Page 34 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 14 - A Polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a pentagon; one of six sides, a hexagon; one of seven sides, a heptagon; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon, &c.
Page 75 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 170 - Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal altitudes are equivalent.
Page 69 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.