General Announcement - McGill University, MontrealMcGill University., 1911 |
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Popular passages
Page 25 - 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 27 - 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 25 - 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 26 - 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 25 - 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.
Page 26 - A straight line, drawn from the centre of a circle to bisect a chord which is not a diameter, is at right angles to the chord; conversely, the perpendicular to a chord from the centre bisects the chord. 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...
Page 29 - If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Page 25 - Any proof of a proposition shall be accepted which appears to the examiners to form part of a systematic treatment of the subject...
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Page 25 - Angles at a Point If a straight line stands on another straight line, the sum of the two angles so formed is equal to two right angles ; and the converse.