Elements of Geometry and Trigonometry

Barnes & Burr, 1863 - Geometry - 455 pages

Contents

 BOOK VI 157 BOOK VII 178 BOOK IX 235 PLANE TRIGONOMETRY 3 Multiplication by Logarithms 1 11 11 PLANE TRIGONOMETRY 17 Use of the Table 2327 23
 Solution of Obliqueangled Triangles 92104 92 MENSURATION 105 Area of a Trapezoid 112 112 Area of a Sector 118 118 Area of the Surface of a Prism 120 122 Volume of a Prismoid 128 128

Popular passages

Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...