Calendar: 1893-1894 Page 842

cxx FACULTY OF SCIENCE 18 If the angles of Spherical Triangle are 60 90 and 120 express the cosines of the angles that measure the sides 19 If 30 60 30 determine the value or values of Use tables 20 Find an expression for the area of spherical triangle If the triangle be equilateral and prove that its area is nr2y where τ is the radius of the sphere mgebra YEAR Enunciate the Fundamental Laws of Algebra and deduce therefrom The Rule of Signs ii The Interpretation of Negative Index Simplify a3 ל2 sj 'i and Put into their simplest possible factors 6ax3 a2x2 -f5 ii &2y y0- Prove that if and Β have common factor then is factor of the remainder obtained when we divide one of the expressions by the other Deduce the ordinary rule for finding the of two expressions Find the and the of r3 hx2 19 20 and 2x 15x2 2x 35 Explain fully why we may simplify any fraction by dividing both numerator and denominator by any quantity which divides them both exactly Simplify six six 'x χ 2aχ x2 x2 ax ax -'-- -1-- a2 x2