Calendar: 1856-1857 Page 369

370 GENERAL LITERATURE AND SCIENCE 10 particle slides down rough inclined plane find the accelerating force and the velocity acquired 11 cord binds together two smooth cylinders compare the pressure between the cylinders with the tension of the string dx 12 Integrate from χ to χ infinity and x""xmdx from χ to χ JUNIOR MATHEMATICAL SCHOLARSHIP 2Ugcbra anB Crigononutrg Half the sum of the fourth powers of any two numbers added to half the fourth power of their difference is perfect square If Β be the hypothenuse of right-angled triangle Β AC and two points in Β and AC such that the angle EBD the angle CE then DE tan Solve the equations χ χ -ך- χ ί χ y3 a1 ע gfwjj Prove that Υ ΞΙ2Ϊ -11-8V -v ץ Ifx az and 0j ί ί then a2- c2 c12- Find the value of where χ is infinitely great and the sum of l4 -f 24 34 44 to terms If be the sides taken in order of quadrilateral Β CD of which the angle is supplemental of the angle then- ad 6c j3Z ai erf