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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.

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