A TREATISE ON PLANE AND SPHERICAL TRIGONOMETRY, AND ON TRIGONOMETRICAL TABLES AND LOGARITHMS, TOGETHER WITH A SELECTION OF PROBLEMS AND THEIR SOLUTIONS. BY J. HYMERS, D.D. LATE FELLOW AND TUTOR OF ST JOHN'S COLLEGE, CAMBRIDGE. FOURTH EDITION, REVISED. LONDON: LONGMAN, BROWN, GREEN, LONGMANS, AND ROBERTS. 1858. 183. 2,23, PLANE TRIGONOMETRY. CONTENTS. 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 11 25-30. Magnitudes of angles unlimited. Method of reducing the Trigonometrical Ratios of all angles to those of angles 31-34. On the angles which correspond to given values of the difference of two angles......... 38-39. Formulæ for the multiplication of angles........ 40-44. Formulæ for the division of angles........ |