# The Essentials of Geometry

D.C. Heath & Company, 1899 - Geometry - 395 pages
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### Popular passages

Page 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
Page 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Page 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Page 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Page 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Page 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Page 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Page 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Page 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.