Plane and Spherical Trigonometry and MensurationReprint of the original, first published in 1875. |
Contents
INTRODUCTION | 9 |
To find the number corresponding to a logarithm | 16 |
Evolution by logarithms | 22 |
The sine of an | 29 |
The cotangent of an | 35 |
Natural functions | 41 |
Case VI | 42 |
Case II | 52 |
Values of functions of particular arcs | 83 |
Miscellaneous exercises | 106 |
Mauduits principles | 112 |
Polar triangles | 122 |
viii | 130 |
Area of an irregular polygon | 159 |
Area of a segment of a circle | 165 |
Area of a regular prism | 173 |
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Common terms and phrases
a. c. log adjacent angles altitude angle is equal angle opposite applying logarithms arc increases arc is equal arc or angle arc OT changes its sign characteristic circular co-sine co-tangent co-versed-sine complement corresponds to logarithm cosec decimal point decreases denote dihedral angle divided entire surface escribed circles Examples Find the angle find the area Find the logarithm find the volume formulas fourth quadrant frustum functions given angle greater than 90 hence hypotenuse included angle increases algebraically increases from 90 increases numerically logh mantissa minus number corresponding opposite angle perpendicular plane polygon Problem quadrant from H regular polyhedron required the area right angle Right Triangles secant second quadrant side adjacent sin b sin sin² sine slant height solution species spherical triangle supplement tabular difference tangent third quadrant triangle becomes Trigonometry versed-sine