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Page 127 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 118 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent. If two sides of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Page 120 - The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same segment of a circle are equal ; and, if the line joining two points...
Page 13 - Bombay for the purpose of ascertaining, by means of examination, the persons who have acquired proficiency in different branches of Literature, Science, and Art, and of rewarding them by Academical Degrees as evidence of their respective attainments, and marks of honour proportioned thereunto...
Page 18 - India ; It is hereby enacted as follows : — 1. (1) This Act may be called the Indian...
Page 18 - Universities were respectively established and incorporated. (2) In this Act, unless there is anything repugnant in the subject or context — (a) the term "College
Page 120 - There is one circle, and one only, which passes through three given points not in a straight line. In equal circles (or, in the same circle) (i) if two arcs subtend equal angles at the centres, they are equal; (ii) conversely, if two arcs are equal, they subtend equal angles at the centres.
Page 127 - The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.
Page 37 - Syndicate shall constitute a quorum, and all questions shall be decided by a majority of the votes of the members present.
Page 118 - If the sides of a convex polygon are produced in order, the sum of the angles so formed is equal to four right angles.