| Moffatt and Paige - 1883 - 516 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 angles equal to one another, and** thc exterior angle equal to the interior and opposite angle upon the same side, and also the two interior... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
...is also clear that they meet towards B, D, because GB lies between GN and HD. QBD PROPOSITION XXIX. **THEOREM. If a straight line fall upon two parallel straight lines, it** makus the two interior angles upon the same side together equal to two right angles, and also the alternate... | |
| Euclides - 1884 - 214 pages
...Therefore, if a straight line <5zc. QED 9—"2 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... | |
| F. B. Stevens - Examinations - 1884 - 202 pages
...is equivalent to the difference of the squares of those lines. 1880. 1. If a straight line fall on **two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite** (or remote) angle on the same side ; and also the two interior angles on the same side together equal... | |
| 1884 - 648 pages
...side and perpendicular of an equilateral triangle ; construct the triangle. 10 marks. 3. Prove that **if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another.** 10 marks. •I. The sides of a triangle are 15 feet, 37 feet, and 41 feet : find the length of the... | |
| United States. Congress. Senate - United States - 1880 - 1304 pages
...being entirely outside the quadrilateral ; prove lh»t the triangle ha« the greater perimeter. 3. **If a straight line fall upon two parallel straight lines, it makes the alternate** an|k* equal to each other. Prove this; and state clearly the axiom upon which your proof in based,... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...BC intersect in 0: prove that the triangles OAB, OCD are each isosceles. 2. If a straight line falls **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 line, and the two... | |
| George William Usill - Surveying - 1889 - 306 pages
...D, make the alternate angles equal to one another, then the two straight lines must be parallel. 16. **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... | |
| Euclid - Geometry - 1892 - 460 pages
...PROPOSITION 2g. THEOREM. If a straight line fall on two parallel straight lines, then it shall make **the alternate angles equal to one another , and the exterior angle equal to the interior** opposite angle on the same side; and also the two interior angles on the same side equal to turn ril/ht... | |
| Seymour Eaton - 1899 - 362 pages
...therefore AB is parallel to CD (Proposition 27). AXIOM PROPOSITION 29. THEOREM If a straight line fall on **two parallel straight lines, it makes the alternate angles equal to one** another,and the exterior angle equal to the interior and opposite angle on the same side ; and also... | |
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