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Page 51 - 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 235 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Page 48 - The tangent at any point of a circle and the radius through the point are perpendicular to one another. If two circles touch, the point of contact lies on the straight line through the centres.
Page 48 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Page 51 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Page 284 - Ib. per square inch = 2116 Ib. per square foot = 760 mm. of mercury — 10
Page 55 - The exterior angle between any two intersecting tangents to a parabola, is equal to the angle which either of them subtends at the focus...
Page 229 - Your name is not given to the Examiners, and you are forbidden to write to them about your answers. All the work by which a result is obtained must be clearly shown in immediate connection with the question. No credit will be allowed for any result, however correct it may be, unless the work be shown, so -as to enable the examiners to satisfy hemselves that the candidate has understood the question, and to see by what process the result has been obtained.