Calendar: 1852-1853 Page 336
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332 APPLIED SCIENCES 13 The altitude of right-angled triangle being feet find the other side and hypothenuse in whole numbers 14 Explain and prove the rule for double position Ex Find that number that if it be added to its half its sum shall be as much above 80 as its third part shall be below 30 15 Find the rath term of the product of גי x5 x" x4 273 2Τ374Γ5 Ol 16 If and χ be less than unity show that χ and if χ -P 2f- 62 b'l y2 ab then III -jFrciJcn'ch tljr reat and Ctmco The questions upon this subject were the same as those set for the Junior Classical Scholarship See page 325 Department of tfte gtpplteti Sciences SENIOR SCHOLARSHIP -fB 11 111 11 £i The expansion of sin -1 χ cannot contain any even powers of If be perpendicular from the origin on straight line and be the angle ρ makes with χ the equation to the straight line is χ cos -f sin ρ and the distance of point from it is cos -f- yt sin
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