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University of Allahabad, 1914
 

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Page 230 - ... a circle. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 228 - 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 231 - 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 229 - 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 230 - 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 229 - 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 227 - A. Bisection of angles and of straight lines. Construction of perpendiculars to straight lines. Construction of an angle equal to a given angle. Construction of parallels to a given straight line. Simple cases of the construction from sufficient data of triangles and quadrilaterals. Division of straight lines into a given number of equal parts or into parts in any given proportions.
Page 227 - Schedule B, together with questions upon these theorems, easy deductions from them, and arithmetical illustrations. Any proof of a Proposition will be accepted which appears to the Examiners to form part of a systematic treatment of the subject...
Page 228 - If two triangles have the three sides of the one equal to the three sides of SH 19 the other, each to each, the triangles are congruent.
Page 228 - I say that the sum of the angles of a triangle is equal to two right angles.

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