Calendar: 1899-1900 Page 164

160 FACULTY OF SCIENCE Trigonometry Units and Measures and Incom- mensurable Quantities Circular and other Measures of Angles Trigonometrical Ratios and their Relations their changes as the Angle increases Complements and Supplements Solu- tion of Right-angled Triangles Transformations and Iden- tities Easy Equations General Expressions for all Angles with the same Trigonometrical Ratio Formulae for the Sum and Difference of two Angles and formulae deducible from them Multiple and Submultiple Angles Inverse Notation Harder Transformations and Equations Logarithms and the use of Tables Relations between the Sides and Angles of Triangle Solution of Triangles Heights and Distances Areas of Triangles and Plane Rectilineal Figures with use of Logarithms Arc of Circle Circles related to Triangle Limiting Values of sin β θ tan θ Construction of Tables Exponential and Logarithmic Series Calculation of Logarithms De Moivre's Theorem the 71th roots of Exponential Values of sin and cos Expansions Factors of x2n 2xn cosn6 Hyper- bolic Functions Summation of Series Text Book Lock's Trigonometry Macmillan Hobson Wessop Cambridge University Press Spherical Trigonometry Great and Small Circles Polar Triangles Analogies with Euclid Fundamental Relations Napier's Analogies Gauss's or Delambre's Theorems Geo- metrical proofs for Right-angled Triangles Oblique-angled Triangles Ambiguous Cases Inscribed and Circumscribed Circles Spherical Excess Areas Legendre's Theorem Roy's Rule Geometrical Theorems connected with Area including Lexell's Theorem Text Books Todhunter's Spherical Trigonometry Mac- millan Casey's Longmans or M'Clelland and Preston's Macmillan Mensuration Measures of Length Gunter's Chain Right- angled Triangle Similar Figures Chords of Circle Chord and Height of an Arc Lengths of Sides of some Regular Polygons inscribed in Circle Circumference of Circle Arc and Angle at the Centre Measures of Area Rectangle Parallelogram Triangle