1872. vi. 2. Draw through a point a straight line, so that the part of it intercepted between a given straight line and a given circle may be divided at the given point in a given ratio. Between what limits must the ratio lie in order that a solution may be possible? XI. 20. If the opposite edges of a tetrahedron be equal two and two, prove that the faces are acuteangled triangles. Prove also that a tetrahedron can be formed of any four equal and similar acute-angled triangles. PRINTED BY T. AND A. CONSTABLE, PRINTERS TO HER MAJESTY, AT THE EDINBURGH UNIVERSITY PRESS. By J. HAMBLIN SMITH, M.A., OF GONVILLE AND CAIUS COLLEGE, AND LATE LECTURER AT ST. PETER'S COLLEGE, CAMBRIDGE. A Treatise on Arithmetic. A Key to Arithmetic. 3s. 6d. [In the Press. Elementary Algebra. Part I., 3s.; without Answers, 2s. 6d. (Copies may be had without A Key to Elementary Algebra. 95. Containing Books 1 to 6, and portions of Books II and 12 of Elementary Statics. 35. Elementary Trigonometry. Book of Enunciations. For Geometry, Algebra, Trigonometry, Statics, and Hydrostatics. IS. By E. J. GROSS, M.A., FELLOW OF GONVILLE AND CAIUS COLLEGE, CAMBRIDGE. Algebra. Part II., 8s. 6d. Kinematics and Kinetics. By G. RICHARDSON, M.A., [In the Press. ASSISTANT MASTER AT WINCHESTER COLLEGE, AND LATE FELLOW OF Geometrical Conic Sections. 4s. 6d. Other Works are in preparation. RIVINGTONS London, Oxford, and Cambridge. |