Chauvenet's Treatise on Elementary Geometry

Front Cover
J.B. Lippincott, 1888 - Geometry - 322 pages
 

Other editions - View all

Common terms and phrases

Popular passages

Page 28 - The sum of the three angles of any triangle is equal to two right angles.
Page 125 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 121 - The area of a rectangle is equal to the product of its base and altitude.
Page 237 - A truncated triangular prism, is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 105 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 19 - The perpendicular is the shortest line that can be drawn from a point to a straight line.
Page 268 - The area of a lune is to the surface of the sphere as the angle of the lune is to four right angles, or as the arc which measures that angle is to the circumference.
Page 264 - Each side of a spherical triangle is less than the sum of the other two sides.
Page 101 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 66 - An angle formed by a tangent and a chord is measured by one-half the intercepted arc.

Bibliographic information