| Edward Atkins - 1876 - 119 pages
...&c. QED Proposition 28. — Theorem. Tf a straight line falling upon (wo other straight lines make **the exterior angle equal to the interior and opposite upon the same side** of the line, or make the interior angles upon the same side together equal to two right angles, the... | |
| James Martin (of the Wedgwood inst, Burslem.) - 1876
...triangle. NOTE. — The angles GAK, AKB, are called alternate angles, and when a straight line falls **upon two parallel straight lines, it makes the alternate angles equal to** each other (Euc. I. 29). Problem 25. To construct a triangle, having its base AB, its altitude CD,... | |
| Robert Potts - Geometry, Plane - 1876 - 403 pages
...It-XTX, THEOREM. , If a straight line fall upon two parallel straight lines, it makei the alter' nate **angles equal to one another ; and the exterior angle equal to the** interiorand opposite upon the same side ; and likewise the two interior angles upon ihe same tide together... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...side together equal to two right angles, and also the alternate angles equal to one another, and also **the exterior angle equal to the interior and opposite upon the same** tide. z T Let the st. line EF fall on the parallel st. lines AB, CD. Then must I. / s BGH, GHD together=two... | |
| Elias Loomis - Geometry - 1877 - 443 pages
...exterior angle equal to the interior and remote on the same side ; and the two interior an-- gles on **the same side together equal to two right angles. Let the straight line EF** intersect the yE two parallel lines AB, CD; the alternate \ .1, angles AGH, GHD are equal to each oth-... | |
| Edward Atkins - 1877
...line, .fee. QED Proposition 29. — Theorem. If a straight line fall upon two parallel straightlines, **it makes the alternate angles equal to one another, and the exterior angle** eyual to the interior and opposite upon the same side; and also the two interior angles upon the same... | |
| Moffatt and Paige - 1879
...straight line, falling upon two other, etc. QED Proposition XXIX. Theorem. If a straight line falls **upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle upon the same side, and also the two interior angles upon the same side together equal to two... | |
| W J. Dickinson - Geometry - 1879 - 36 pages
...angles, the two straight lines shall be parallel to one another. 29. Prove that if a straight line fall **upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle upon the same side, and likewise the two interior angles upon the same side together equal to... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1879
...which has the greater angle shall be greater than the base of the other. 2. If a straight line fall on **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle on the same side ; and also the two interior angles on the same side together equal to two right... | |
| Euclides - 1879
...perpendiculars is the same whatever be the position of D. PROPOSITION XXIX. THEOREM. If a straight line fall on **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** angle on the same side; and also the two interior angles on the same side together equal to two right... | |
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