Calendar: 1877-1878 Page 596
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594 GENERAL LITERATURE AND SCIENCE Integrate ao -j- sinar Γ rf fa 2f χ Prove that 10 Find the limit when η is infinite of the series מ 2מ λ Ζ2 3מ "י Τ 4- י י 3מ 11 Find the volume generated by the revolution of the curve cos0 round the line 12 Find the area included between y2 3ax and x2 -f y2 10a 13 If be the centre of curvature at point Ρ of an epicy- cloid and the centre of curvature of the evolute at then shall Ρ and Λ be in straight line with the centre of the circle which passes through the cusps of the curve XXT tomrtri Express the area of triangle in terms of the coordinate of its angular points Draw the straight lines χ זχ and χ jr wm and find the area of the triangle they form Show that the equation Ax By always repre- tents straight line Find the length of the perpendicular drawn from given point upon given straight line Form the equation for determining the abscissae of the point in the straight line ע-4
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