Vlll 



CONTENTS. 



PLANE TRIGONOMETRY. 



PROBLEMS PAGE 



267 278. I. Equations 58 



279 321. II. Identities and Equalities 61 



322329. III. Inequalities 69 



330366. IV. Properties of Triangles 71 



367379. V. Heights and Distances, Polygons 77 



380 397. "VI. Expansions of Trigonometrical Fractions 80 



398400. VII. Series 82 



401 410. VIII. Miscellaneous Questions 86 



CONIC SECTIONS, GEOMETRICAL. 



411_444. I. Parabola 88 



445506. II. Central Coriics 92 



507 529. III. Rectangular Hyperbola 99 



CONIC SECTIONS, ANALYTICAL. 



530548. 5 C I. Straight Line, Linear Transformation, Circle... 103 



1$ -v- | 



549 588. -|.| I II. Parabola, referred to its axis 108 



589644. II Tin. Ellipse, referred to its axes 115 



^^ O \ 



645 657. ^ L I"V. Hyperbola, referred to its axes, or asymptotes .. 130 



658 C75. V. Polar Coordinates 133 



676728. VI. General Equation of the Second Degree 136 



729741. VII. Envelopes 149 



742805. VIII. Area! Coordinates 152 



806822. IX. Anbarmonic Properties 168 



823882. X. Reciprocal Polars, Projections 172 



883922. THEORY OF EQUATIONS 187 



9231012. DIFFERENTIAL CALCULUS 195 



10131059. INTEGRAL CALCULUS... 211 



