CONTENTS. 



USEFUL FORMULAS. 



PACK 



1. Algebraic Formulas xiii 



a. Arithmetic and geometric means xiii 



b. Arithmetic progression xiii 



c. Geometric progression xiii 



d. Sums of special series xiii 



e. The binomial series and applications xiv 



f. Exponential and logarithmic series xiv 



g. Relations of natural logarithms to other logarithms .... xv 



2. Trigonometric Formulas xv 



a. Siirns of trigonometric functions xv 



b. Values of functions for special angles xv 



c. Fundamental formulas xv 



d. Formulas involving two angles xvi 



e. Formulas involving multiple angles xvi 



f. Exponential values. Moivre's formula xvi 



g. Values of functions in series xvii 



h. Conversion of arcs into angles and angles into arcs .... xvii 



3. Formulas for Solution of Plane Triangles xviii 



4. Formulas for Solution of Spherical Triangles xx 



a. Right angled spherical triangles xx 



b. Oblique angled triangles xx 



5. Elementary Differential Formulas xxi 



a. Algebraic xxi 



b. Trigonometric and inverse trigonometric xxi 



6. Taylor's and Maclaurin's Series xxii 



a. Taylor's series xxii 



b. Maclaurin's series xxii 



c. Example of Taj'lor's series xxii 



d. Example of Maclaurin's series xxiii 



7. Elementary Formulas for Integration xxiii 



a. Indefinite integrals xxiii 



b. Definite integration xxvi 



MENSURATION. 



I. Lines xxviii 



a. In a circle xxviii 



b. In regular polygon xxviii 



c. In ellipse xxix 



