| 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
...straight lines AD and CB intersecting in 0. Prove that both the triangles OA C and OBD are isosceles. 2. **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... | |
| 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... | |
| Education - 1902 - 678 pages
...lines. Will any straight lines do ? If not, in what way is the choice of straight lines limited ? 15) **If a straight line fall upon two parallel straight lines, it makes the** two interior angles on the same side together equal to two right angles, and also the alternate angles... | |
| University of Durham - 1879 - 158 pages
...[MARCH 22, 1879. 3. State Euclid's twelfth axiom. IB there any proposition of which it is the converse ? **If a straight line fall upon two parallel straight lines it makes the alternate angles equal.** 4. Prove that parallelograms on equal bases and between the same parallels are equal. In what sense... | |
| British Columbia. Superintendent of Education - 1893 - 812 pages
...equal, each to each, and also the third angle of the one equal to the third angle of the other. 7. **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 on the same side ;... | |
| Cowley Oxon, dioc. school - 1860 - 318 pages
...together greater than the third side. 6. (1) Give Euclid's Axiom respecting parallel straight lines. (2) **If a straight line fall upon two parallel straight lines it makes the alternate angles equal.** 7. Triangles upon the same base and between the same parallels are equal. 8. If a straight line be... | |
| London univ - 1874 - 778 pages
...symbols .-. , :• , =, and + in their usual senses.] 2. Define parallel straight lines; and prove that **if a straight line fall upon two parallel straight lines it makes the alternate angles equal** to one another. 1. Define a right angle ; and draw a straight line at right angles to a given straight... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...equal to each other, the sides also which subtend the equal angles shall be equal to each other. 2. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to each other : and the exterior angle equal to the interior and opposite upon the same side: and likewise... | |
| University of St. Andrews - 1900 - 670 pages
...2.30 PM When did the puncture occur? 7. If a, b, c, d are in continued proportion, show that — B. 8. **If a straight line fall upon two parallel straight lines, it makes the alternate angles equal** to one another. If the angle A of a triangle ABC, and also the adjacent exterior angle be bisected... | |
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