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University of Allahabad, 1907

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Page 180 - 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 223 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 224 - AREAS. Parallelograms on the same or equal bases and of the same altitude are equal in area. Triangles on the same or equal bases and of the same altitude are equal in area. Equal triangles on the same or equal bases are of the same altitude. Illustrations and explanations of the geometrical theorems corresponding to the following algebraical identities : — k (a -f 6 + c + ...) = ka + kb + kc + . .., (a-\- b)' = a2 +2ab + b2, (a — b)- = a2 — 2ab + b2, a2 — b2 = (a + b) (a — b).
Page 224 - The square on a side of a triangle is greater than, equal to, or less than, the sum of the squares on the other two sides, according as the angle contained by those sides is obtuse, right or acute. The difference in the cases of inequality is twice the rectangle contained by one of the two sides and the projection on it of the other.
Page 225 - The angle which an arc of a circle subtends at the centre is double that which it subtends at any point oil the remaining part of the circumference.
Page 51 - April, 1930. 2. Definitions: In this Act, unless there is anything repugnant in the subject or context: (a) "child...
Page 42 - The school board shall be a body corporate, by the name of the school board of the district to which they belong, having a perpetual succession and a common seal, with power to acquire and hold land for the purposes of this Act without any licence in mortmain...
Page 296 - Honours in the Second Public Examination shall be entitled to supplicate for the Degree of Bachelor of Arts so soon as he shall have kept statutable residence for eight Terms. Provided that if he is a Colonial Student, he has shown a sufficient knowledge of the Greek language.
Page 43 - A member of the committee shall hold office for two years from the date of his appointment, but shall be eligible for reappointment. (3) There shall be paid to the members of the committee, out of the Mercantile Marine Fund, such travelling and other allowances as the Board of Trade may fix.
Page 64 - Colleges in the same neighbourhood, will not be injurious to the interests of education or discipline ; and (') that the College rules fixing the fees (if any) to be paid by the students have not been so framed as to involve such competition with any existing College in the same neighbourhood as would be injurious to the interests of education.

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