Calendar: 1872-1873 Page 538

GENERAL LITERATURE AND SCIENCE 539 12 Prove Demoivre's theorem for fractional and negative indices If cos θ and sin θ be fixed prove that cos θ sin β has η different values and 110 more 13 Show that the area of the triangle the vertices of which are the points of contact of the inscribed circle is to the area of the original triangle as the radius of the inscribed to the diameter of the circumscribed circle 14 Show how to find the height and distance of visible but inaccessible object At points Α on horizontal straight line the angles of elevation of tower not in this line are α β If Β be between and and at distances ρ and from these points show that ρ cot2 γ -J- cot2 is greater than 15 Show that cut-' β ו θ 7r 2π β sm sin -י- sin -י- η η η η 7r θ 81η---1-- lEnglisi anu t'storg Engltd StfjJtorg 1660-1763 Write short life of the first Earl Qf Shaftesbury What do you know about the Act of Uniformity the Five Mile Act the Test Act the Exclusion Bill the Act of Settlement Where are Cape La Hogue Blenheim Detttngeh Fort' liuquesne and Quebec What events do you connect with any of these places and at what dates Give an account of the Rebellion of 1745 Earless on high stood unabashed Defoe To what does this line refer