Calendar: 1848-1849 Page 256

254 general literature and science 18 The shadows of two vertical walls at right angles to each other and which are and in height are observed at 12 o'clock to be ma and mb in breadth show if be the sun's altitude and β the inclination of first wall to the meridian Cot χ cot β "- 11 -euriitj Euclid Book prop 24 Euclid Book ii prop 32 Euclid Hook vi prop How can debt of £10 be paid in crowns guineas and moidores Solve 4x3 121 195 as quadratic β Reduce cos β cos Θ to the form cos Θ -f zx tj and -- ζ χ τ τ find Prove that if γ α2 62 and cos ν ΞΤ a- λ Α cos From the angles of the triangle Β lines Λ Β Cc are drawn through any point then Ac Ba Cb aC bA 10 If two straight lines Α Ε Β Ε in circle intersect in the angles subtended by AC and ΒD at the centre are together double of the ί Ε 11 Given log and log ft find log -f 12 If be any two consecutive converging fractions ad 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 201 14 ABC are the angles of Δ Β and tan tan Β tan are in geom prog ratio prove that Sin sin