# Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very Copious Notes and Illustrations

W. & C. Tait, and Longman, Hurst, Rees, Orme, & Brown, London, 1820 - Geometry - 465 pages
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### Popular passages

Page 110 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Page 30 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
Page 334 - the first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Page 293 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Page 88 - ... 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. The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse.
Page 295 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Page 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 129 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Page 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Page 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.