Calendar: 1893-1894 Page 882

clxiv WARNEFORD SCHOLARSHIPS Translate into Greek Pyrrhus the king while travelling met dog guarding the body of murdered man and having learned that this was the third day he had remained by the body refusing to leave it he gave orders to bury the dead man and to take away the dog Now few days afterwards there was an inspection of the soldiers and march past while the king was seated and the dog was present and remained quiet but when he saw the murderers of his master going past he rushed forth at them with great noise and kept barking turning round to Pyrrhus The men were therefore arrested and being ex- amined confessed the murder and were punished VIII -j Mati mattci Cvtgoitometrj antt &riti mtttc Candidates for Warneford Scholarship and Sambrooke Ex hibition omit Questions 1-5 Define the cosine of an angle and in accordance with your definition find the cosine of half right angle and of the exterior angle of an equilateral triangle Prove geometrically that the sine of an angle is the cosine of its comple- ment and that cosec 2A cot 2A ten Express the radius of the in-circle of triangle in terms of its area and perimeter Prove that the ratio of the area of the triangle ABC to that of its in-circle is 7r tan tan tan There are vertical posts at intervals of one mile along straight canal with their tops at the same height above the water The line joining the tops of the extreme posts cuts the middle post at point inches below the top Find to the nearest mile the radius of the earth Resolve into factors