Elements of Geometry and Trigonometry, from the works of A. M. Legendre: Adapted to the course of mathematical instruction in the United StatesReprint of the original, first published in 1863. |
Contents
GEOMETRY | 13 |
Propositions | 20 |
Ratios and Proportions | 50 |
BOOK III | 59 |
Problems relating to the First and Third Books | 82 |
BOOK IV | 93 |
Problems relating to the Fourth Book | 129 |
BOOK V | 136 |
Solution of Obliqueangled Triangles | 36 |
Problems of Applicatiou | 45 |
ANALYTICAL | 51 |
Limiting value of Circular Functions 55 | 55 |
Particular values of Certain Functions 63 | 63 |
SPHERICAL TRIGONOMETRY | 73 |
Solution of Rightangled Spherical Triangles 8083 | 80 |
Solution of Obliqueangled Triangles 92104 | 92 |
BOOK VI | 157 |
BOOK VII | 178 |
BOOK IX | 235 |
INTRODUCTION | 3 |
Multiplication by Logarithms | 11 |
PLANE TRIGONOMETRY | 17 |
Use of the Table | 23 |
MENSURATION | 105 |
Area of a Trapezoid 112 | 112 |
Area of a Sector 118 | 118 |
Area of the Surfaoe of a Prism 120 | 120 |
Volume of the Frustum of a Pyramid 125 | 126 |
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Common terms and phrases
ABCD altitude base called centre chord circle circumference circumscribed coincide common cone consequently construct corresponding Cosine Cotang cylinder denote described diameter difference distance divided draw drawn edges equal EXAMPLES extremity faces feet figure formed Formula four frustum given greater half hence homologous inscribed intersection less logarithm lower base manner mean measured meet multiplied opposite parallel parallelogram parallelopipedon pass perpendicular placed plane plane MN polyedron polygon position prism PROBLEM proportional PROPOSITION proved pyramid radii radius rectangle regular remaining right angles RULE Scholium segment shown sides similar sine solution sphere spherical triangle square straight line surface taken Tang tangent THEOREM third triangle triangle ABC unit upper vertex vertices volume whence