tions, follow, fundamental formulas, each function in terms of each of the others, functions of negative arcs, functions of (n 90° a), values of functions of particular arcs, inverse functions, functions of the sum and difference of two angles, functions of double and half angles, consequences of the formulas (a), (b), (c), (d), a variety of interesting practical applications, and the computation of the natural and logarithmic functions. In Spherical Trigonometry, as in Plane, Right Triangles are first discussed, then Oblique. More than ordinary care has been given to the development of Napier's principles and to the discussion of the species of the parts of both right and oblique triangles, Arts. 126, 129, 145, 148, 151. Special attention is invited to Arts. 64, 89, 91, 126, 129, 145, 148. Mensuration, a subject at once interesting and practically important, has been discussed at length, and formulas, instead of rules, have been developed for the solution of problems. Hoping that the work, as a whole, will prove a contribution to the wants of the student, and render him efficient aid in acquiring a correct mathematical taste, and that its publication in a separate volume will greatly extend its usefulness, it is submitted to the favorable consideration of those who have the responsibility of selecting the text-book on this important branch of mathematical science. A. SCHUYLER. BALDWIN UNIVERSITY, } CONTENTS. Exercises on the characteristic. Description of the table of logarithms. To find the logarithm of a number. Each function in terms of the others. Values of functions of particular arcs. Inverse trigonometric functions. Sine and co-sine of the sum of two angles. Sine and co-sine of the difference of two angles. Tangent and co-tangent of the sum or difference. Functions of double and half angles. |