| Euclides - 1874 - 120 pages
...parallel to one another. PROPOSITION 29. THEOREM. If a straight line fall on two parallel straif/ht **lines, it makes the alternate angles equal to one...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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...impossible.- (Lemma.) .-. L AFG is =. the alternate L FGD. Hence are easily deduced the following Theorems: **If a straight line fall upon two parallel straight lines, it makes the** exterior L. = the interior and opposite upon the same side. straight lines AB, CD; / Let HK fall upon... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...also clear that they meet towards B, D, because GB lies between GN and HD. 0. ED PROPOSITION XXIX. **THEOREM. If a straight line fall upon two parallel straight lines, it makes the** two interior angles upon the same side together equal to two right angles, and also the alternate angles... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...clear that they meet towards B, D, because GB lies between GN and HD. QED PROPOSITION XXIX. THKOBEM. **If a straight line fall upon two parallel straight lines, it makes the** two interior angles upon the same side together equal to two right angles, and also the alternate angles... | |
| Robert Potts - Geometry - 1876 - 446 pages
...therefore-4.B is parallel to. CD. (I. 27.) Wherefore, if a straight line, &c. ft. E. D PROPOSITION 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... | |
| James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...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,... | |
| Edward Atkins - 1877 - 72 pages
...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... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...equal to two right angles, the two straight lines shall be parallel to one another. 29. Prove that **if a straight line fall upon two parallel straight...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... | |
| Moffatt and Paige - 1879 - 474 pages
...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... | |
| Euclides - 1879 - 146 pages
...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... | |
| |