| 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... | |
| Edward Atkins - 1876 - 130 pages
...Therefore AB is parallel to CD (I. 27). Therefore, if a straight line, &c. QED Proposition 29. — Theorem. **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 also... | |
| James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...angle EDF, which is equal to the given angle C (constr.) NOTE. — We know from Euclid I. 29, that " **if a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another," hence angle EDF is equal to angle DFB. Problem 12. To bisect the angle made by any... | |
| 1876 - 400 pages
...life and character of one of them. 3. Trace the descent of Queen Victoria from James I. EUCLID. — 1. **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... | |
| Robert Potts - Geometry - 1876 - 446 pages
...lines make the alternate angles equal to each other, these two straight lines shall be parallel. 4. **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. 5. Assuming Proposition... | |
| Euclides, James Hamblin SMITH - 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... | |
| 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 lines, it makes the alternate angles equal** to one another, and the exterior angle equal to the interior and opposite angle upon the same side,... | |
| University of Oxford - Greek language - 1879 - 414 pages
...sector of a circle, similar segments of circles. When is a straight line said to touch a circle ? 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another, the exterior angle equal to the interior and opposite angle on the same side of the... | |
| Oxford univ, local exams - 1880 - 396 pages
...with the square of the line between the points of section, is equal to the square of half the line. 4. **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 of the... | |
| James Russell Soley - Naval education - 1880 - 346 pages
...triangle being entirely outside the quadrilateral ; prove that the triangle has the greater perimeter. 3. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to each other. Prove this ; and state clearly the axiom upon which your proof is based, and mention... | |
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