Calendar: 1858-1859 Page 426

428 GENERAL LITERATURE AND SCIENCE 223 11 Divide the fraction -τ-- into fractions 100 12 Find two square numbers whose sum shall be equal to their product 13 Find an expression for Ar in the expansion of and when Ar 14 number of two digits added to one of the same digits but in the quinary scale makes denary number of two digits each equal to half the product of the former digits find it 15 If- be two consecutive converging fractions to the ן value of then shall their difference b' 991 16 If Ν a" show that approximately VN 2a rc '2nan -1 17 An annuity to continue 30 years is left between and to enjoy it for 10 years Β the remainder of the term find the rate of interest that each may benefit equally 18 Solve the equations- י Τ χ Jx χ Ίχ s2 15 19 Find the sum of j- 10 &c to η terms and 4th harmonical proportional to 12 20 Divide λ '"to two fractions whose de- ך ο -ן- nominators are quadratic III -Slant Crigtmomttrg anU eurlitf Soofe fl If two straight lines be at right angles to the same plane they shall be parallel to one another If two parallel planes be cut by another plane their common sections with it are parallels