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LONGMAN, BROWN, GREEN, LONGMANS, AND ROBERTS.
1858.
PLANE TRIGONOMETRY.
CONTENTS.
ARTICLE
SECTION I.
THEORY OF TRIGONOMETRICAL RATIOS.
1-9. Object of Trigonometry. Methods of representing nume-
rically the magnitudes of lines and angles..
10-15. Definitions of the Trigonometrical Ratios.............................................................
16-19. Relations of the Trigonometrical Ratios to one another ...
20-24. Use of the signs + and - to indicate contrariety of position
25-30. Magnitudes of angles unlimited. Method of reducing the
Trigonometrical Ratios of all angles to those of angles
less than a right angle ......
31-34. On the angles which correspond to given values of the
sine, cosine, &c. ....
PAGE
1
5
9
11
15
21
SECTION II.
FORMULE INVOLVING THE TRIGONOMETRICAL RATIOS OF
TWO OR MORE ANGLES.
35-37. Formule for finding the sine and cosine of the sum and
difference of two augles..............
38-39. Formula for the multiplication of angles...........
40-44. Formula for the division of angles.........
...... 30
45-49. Formule relative to tangents
50-57. Formulæ used in Astronomy
34
36