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Abdul affiliated Agra College Ahmad angles application appointed Arabic Arts B.Sc Bahadur Banerji Bareilly College Board Brahman Ditto candidate certificate Chand Chandra Chemistry Christ Church College circle classes College II College Mohd course Dayal Department Ditto III elected English equal Examination Faculty Gopal Government Govt Hari Heat High School History Honours Husain II II II III III III India institution instruction Jaipur John's College Jubbulpore Kayastha Ditto Khan Krishna Language M. C. College Maharaja's Master Mathematics Mathur Matriculation Meerut College meeting Misra Miss Mohan Muhammad Mukerji Nagpur Name Narain Narayan Nath Pandit paper passed Persian Physics Practical Prasad prescribed present Previous Principal Professor Provinces Queen's College Registrar Regulations Sahai Sanskrit scholarships Science Senate Shanker sides Singh straight line Syed Syndicate Teacher tion triangles University University of Allahabad Varma
Page 172 - If two triangles have two sides of the one equal to two sides of the other, each to each, and also the angles contained by those sides equal, the triangles are congruent.
Page 231 - 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 172 - When a straight line cuts two other straight lines, if (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) a pair of interior angles on the same side of the cutting line are together equal to two right angles, then the two straight lines are parallel ; and the converse. Straight lines which are parallel to the same straight line are parallel to one another.
Page 173 - The locus of a point which is equidistant from two fixed points is the perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines.
Page 232 - 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 174 - 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. Angles in the same segment of a circle are equal; and...
Page 172 - 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 233 - A ngles in the same segment of a circle are equal ; and, if the line joining two points subtends equal angles at two other points on the same side of it, the four points lie on a circle. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse.