ON ELEMENTARY TRIGONOMETRY BY THE REV. J. B. LOCK, M.A. FELLOW OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE ; ASSISTANT MASTER AT ETON. PREFACE. con THE present Work on ELEMENTARY TRIGONOMETRY contains that part of the subject which can veniently be explained without the use of infinite series. It is intended either for class-teaching or for private study. Accordingly the Examples are numerous and for the most part easy. Those which are not original have been selected from the Cambridge and Army Examination Papers of the last few years. The Miscellaneous Examples are somewhat more difficult, and should in most cases be postponed until the student reads the subject for the second time. The order in which the Chapters are read may be varied at the discretion of the Teacher. The last three Chapters are not required in the Previous Examination of Candidates for Honours at Cambridge. J. B. L. ΕΤΟΝ, March, 1882. CONTENTS. II. ON INCOMMENSURABLE QUANTITIES III. ON THE RELATION BETWEEN THE CIRCUMFERENCE OF IV. ON THE MEASUREMENT OF ANGLES VI. ON THE RATIOS OF CERTAIN ANGLES VII. ON THE TRIGONOMETRICAL RATIOS OF THE SAME VIII. ON THE USE OF THE SIGNS + AND IX. ON THE USE OF + AND IN TRIGONOMETRY ON ANGLES UNLIMITED IN MAGNITUDE. I. XI. ON THE RATIOS OF Two ANGLES XII. ON THE RATIOS OF MULTIPLE ANGLES XIII. ON ANGLES UNLIMITED IN MAGNITUDE. II. XV. ON THE USE OF MATHEMATICAL TABLES XVI. ON THE RELATIONS BETWEEN THE SIDES AND ANGLES XVII. ON THE SOLUTION OF TRIANGLES XVIII. ON THE MEASUREMENT OF HEIGHTS AND DISTANCES |