Elements of Geometry and TrigonometryReprint of the original, first published in 1869. |
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Contents
GEOMETRY | 9 |
Ratios and Proportions | 50 |
The Circle and the Measurement of Angles | 59 |
Arca of the Surface of a Prism | 226 |
BOOK IX | 235 |
Area of a Zone | 258 |
PLANE TRIGONOMETRY | 3 |
Problems relating to the First and Third Books | 8 |
Relations of Circular Functions | 54 |
Functions of Negative Arcs | 60 |
Formulas of Relation between Functions and Arcs | 68 |
Quadrantal Triangles | 84 |
Formulas for Obliqueangled Triangles | 92 |
MENSURATION | 105 |
BOOK IV | 106 |
Formula for the Sine of Half an Angle | 112 |
Multiplication by Logarithms | 11 |
20 | 17 |
Use of the Table | 23 |
50 | 25 |
Solution of Obliqueangled Triangles | 36 |
59 | 41 |
82 | 47 |
BOOK V | 114 |
Area of a Sector | 118 |
Planes and Polyedral Angles | 123 |
Volume of a Prism | 124 |
Polyedrons | 130 |
105 | 2 |
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Common terms and phrases
ABCD altitude apothem Applying logarithms centre chord circle circumference complement cone convex surface cosec cosine Cotang cylinder decimal demonstrated in Book denote diameter distance divided draw Equation feet find the area Find the logarithmic following RULE frustum given angle greater half sum hence hypothenuse included angle inscribed intersection less Let ABC log cos log cot log sin lower base lune mantissa measured multiplied number corresponding number of sides parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment semi-circumference sine six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC upper base vertex volume whence write the following