Calendar: 1848-1849 Page 268

2 GG ATI'LIED SCIENCES 11 Given log and log 2x find log 12 If τ be any two consecutive converging fractions cb 13 The length of road in which the ascent is foot in from the bottom to the top of hill is mile and what is the length of zigzag in which the ascent is foot in 20 14 ABC are the angles of Δ Λ Β and tan tan tan are in geom prog ratio prove that Sin sin 15 If α ό be the sides of Α ί 0d the perpen- diculars from then m3 w2 2ע ac η ρ in ρ mn a2 c2 62 י 10 Find the co-eificient of xn in χ 3x3 &c 17 Eliminate between wi ss cosec sin and מ sec Θ cos θ and if tan tan χ tan tan find tan 18 If A' and be the radii of the circumscribed and inscribed circles Β 411 sin sin 81n ך 11 i'Flatljcmattcil Euclid Book iv prop Euclid Book ii prop 10 Euclid Book xi prop If cos -1 cos -1 cos -1 cos -1 find ax ax The difference between the second and fourth powers of prime number is divisible by 12