Calendar: 1856-1857 Page 367

3C8 GENERAL LITERATURE AND SCIENCE ψήφισμα καβ" εισηλθον την γραφήν είτα Toils κατάλογου τον τ' εκ τοϋ προτέρου νόμου και τον κατά τον Ιμόν Χέγ ΠΙ -Cranilattoni The same pieces as for the Senior Scholarship SENIOR MATHEMATICAL SCHOLARSHIP -Conic Sections differential anil Integral Calculus The area of the triangle formed by the three straight lines mx nx rx is -f -r Find the area of the least isosceles triangle that can be described about an ellipse the minor axis being coincident with the altitude of the triangle Β is an equilateral triangle Ρ is point taken so that AP PB PC find the locus of and the area of thi curve described χ Integrate and eax cos kx 'dx 1- Apply Lagrange's theorem to find the log when as-y If from point two tangents TP Τ be drawn to an ellipse focus show that £PST iQST Show what are the requisite conditions for maximum or minimum of function of two variables and apply them when χ x' xy Find the radius of curvature and the evolute of the hy- perbola If from the origin line OA Β CD be drawn meeting any given lines in &c and if in Ο point Σ be taken and