Calendar: 1850-1851 Page 371

THE SCHOOL 367 By what arrangement of his troops did Epaminondas gain the battle of Mantinea and what difficulties did Alexander encounter in crossing the Granicus Explain the following terms and append their derivations -Autonomy Sycophancy Tagns Timocracy Promanty Periceci Cleruchi Hermocopidce Metoeci Ilarmosts SCHOOL MATHEMATICAL EXAMINATION -algebra Explain how it is that means an determine the meaning of a0 a1 Explain the method of finding the square root of binomial surd and take for example γ Explain and prove the method of solving quadratic equation What are the roots of an equation If and β be the roots of x2 ρ χ -f show that -f β ρ and α β Solve the equations 10 x2 12 χ χ 35 Find the sum of the series -f &c ad inf Prove the Binomial Theorem for positive integer Find the amount of Ρ £ at compound interest at the rate of £ per cent per annum for years 10 Determine which is greater χ or χ η 11 Prove that log log η log 12 Find the integral values of χ and which satisfy the cqua- tion f11 57 13 Prove the rule for the equation of payments