Calendar: 1867-1868 Page 483

484 GENERAL LITERATURE AND SCIENCE 25 The th coefficient in the expansion of is double the th 26 Find an arithmetic series of which the sum of מ terms after the first η terms is 2מ 27 The number of combinations of η things taken together the number of η things taken together the number of things taken together 28 Find three square numbers which shall be in arithmetic progression 29 laid out £500 at fair in buying sheep oxen and horses Each sheep cost £3 each ox £17 and each horse £23 the total number he bought was 40 How many did he buy of each 30 Sum each to terms the series- 10 &c a" &c Division II III II -$Iane Crigonomctro Which is the greater 18 12 36" English or 20 24 French and by how much Find sin and cos when sin' cos ΤΛ sin 10 cos 75 If- -- find sin and cos sin cos Β 12 If tan tan sin tan find the values of and Prove the following formulas Sin sin cos Β sin Β cos Cos cos cos Β s'n sin Sin sin Β sin cos Sin sin cos" Β cos2 In let be less greater than