# Calendar: 1863-1864 Page 529

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GENERAL LITERATURE AND SCIENCE 529 these sides and the straight line intercepted between the per- pendicular let fall upon it from the opposite angle and the acute angle One circle cannot touch another in more points than one whether it touches it on the inside or outside Upon given straight line to describe segment of circle which shall contain an angle equal to given rectilineal angle To describe an isosceles triangle having each of the angles at the base double of the third angle The sides about the equal angles of equiangular triangles are proportionals and those which are opposite to the equal angles are homologous sides that is are the antecedents or con- sequents of the ratios 10 Similar triangles are to one another in the duplicate ratio of their homologous sides 11 If two straight lines be parallel and one of them is at right angles to plane the other also shall be at right angles to the same plane 12 If solid angle be contained by three plane angles any two of them are greater than the third 13 Describe circle which shall touch two converging lines and pass through given point between them 14 Bisect quadrilateral by line drawn from one of its angles 15 ABCD is quadrilateral AC BD the diagonals AE CD Μ to BD BF DH AC then AE CD BF DH BD AC II -algebra Prove that- a' b' ab- edy ad be a2 c2 b2 d2' At what times between 10 and 11 o'clock is there five minutes' division between the minute and hour hands

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