# Calendar: 1879-1880 Page 598

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598 GENERAL LITERATURE AND SCIENCE Change the independent variables in the expression du du dy dx when χ cos sin Θ Trace the curve Find the envelope of the system of circles whose centres are on an ellipse and which all pass through the centre of the ellipse Integrate "Jx2 dx secx dx and find the value of π צ sin4i dx 10 Find the evolute of the curve 2acos2 11 Show that the radius of curvature at any point of curve 12 At any point of curve the latus rectum of parabola of closest contact is 54 13 Find the whole length of the curve traced out by point on the circumference of circle of radius which rolls on another circle of twice its radius XVIII -algebra anU Eljtorj of equations Find the number of combinations of η things taken together

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