# Calendar: 1875-1876 Page 574

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570 GENERAL LITERATURE AND 8cience will be at right angles to each other if a2 η a2 A2 13 Investigate the relation between the direction-ratios of straight line referred to three oblique axe3 Prove that the lines bisecting pair by pair the opposite edges of tetrahedron meet in point and bisect each other and that it they are all equal every edge of the tetrahedron is perpen- dicular to the opposite edge 14 Determine the directions of all circular sections of the ellipsoid z' If two circular sections of different systems be such that the sphere on which both lie is of constant radius mi the locus of the centre of the sphere is the hyperbola --ΤΆ γ7 m2 a- lr A2 c2 being in descending order of magnitude III -algebra anU Crtgonomttrp Find the value of as A2 י y2 χ -1- when ft jr y' Divide ll 41 23 ----------ί by ---1-1 12 י τ Reduce to ingle fractions in the lowest terms- ab i2 -8 β A2 Find tbe square roots of 10 20 25 24 4- 16

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