Calendar: 1886-1887 Page 733

CLOTH WORKERS י SCIENCE EXHIBITIONS 735 If an angle lies between 135 and 180 what is the algebraic sign of cos If an angle have negative cosecant and negative secant show that it lies between 180 and 270 10 Define logarithm If you had table of logarithms and &c were given in numbers explain how you would find the value of b2 a2 ld Find the logarithm of the above expression when מ having given log 3010300 log 4771213 and log 80 84501 11 In plane triangle show that the sines of the angles are as the sides opposite to them Given in right-angled triangle one of the acute angles 60 and the side opposite to it 10 feet Find the remaining parts of the triangle 12 The angle which is subtended by an arc equal to the radius is 2062648 seconds Reduce this to grades and decimals of grade and thence deduce the value of 7r II £uclft antt Conic dictions If two triangles have two sides of the one equal to two sides of the other each to each and have also the angles contained by those sides equal to one another they shall also have their bases or third sides equal and the two triangles shall be equal and their other angles shall be equal each to each namely those to which the equal sides are opposite If two straight lines bisect each other at right angles any point in either of them is equidistant from the extremities of the other The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel ABCD is parallelogram and the middle points of AD and BC respectively show that BE and DF will trisect the diagonal AC