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

Forside
W. & C. Tait, and Longman, Hurst, Rees, Orme, & Brown, London, 1820 - 465 sider

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Innhold

Del 9
125
Del 10
128
Del 11
155
Del 12
201
Del 13
202
Del 14
215
Del 15
221
Del 16
223
Del 25
339
Del 26
352
Del 27
362
Del 28
370
Del 29
378
Del 30
431
Del 31
444

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Side 110 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 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.
Side 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...
Side 293 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Side 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.
Side 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...
Side 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 129 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Side 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Side 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.

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