| Edward Atkins - 1877 - 72 pages
...part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 12. **If a straight line meet two straight lines, so as...lines being continually produced shall at length meet** on that side on which are the angles which are less than two right angles. Explanation of Terms and... | |
| Euclides - 1877 - 58 pages
...10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 1 2. **If a straight line meet two straight lines so as to...taken together, less than two right angles, these** two straight lines being continually produced shall at length meet on that side on which are the angles... | |
| Moffatt and Paige - 1879 - 378 pages
...tame side toe/ether equal to two right angles. The axiom referred to is the twelfth, which runs thus: **"If a straight line meet two straight lines so as...lines, being continually produced, shall at length meet** on that side on which are the angles which are less than two right angles." The latter part of this... | |
| Moffatt and Paige - 1879 - 428 pages
...cannot enclose a space, (n) All right angles are equal to one another. (12) If a straight line meets **two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet** on that side on which are the angles that are less than two right angles. Proposition I. Problem. To... | |
| Rolla Rouse - 1879 - 400 pages
...would be understood without making it an axiom.) Axiom 12. (See remark above.) If a straight line meets **two straight lines, so as to make the two interior...side of it taken together less than two right angles,** those straight lines being continually produced shall at length meet upon that side in which are the... | |
| Moffatt and Paige - 1879 - 506 pages
...angles, and therefore the angles BEF, EFD are less than two right angles. But if a straight line meets **two straight lines so as to make the two interior angles on the same side** together less than two right angles, these straight lines, being continually produced, shall at length... | |
| Euclides - 1879 - 146 pages
...part. 10. Two straight lines cannot enclose a space. 1t. All right angles are equal to one another. 12. **If a straight line meet two straight lines, so as to make the** interior angles on the same side of it taken together less than two right angles, these straight lines,... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Two straight lines cannot enclose a space. 11. All right angles are equal to one another. eJtV 12. **If a straight line meet two straight lines, so as...lines, being continually produced, shall at length meet** on that side on which are the angles which are less than two right 32. A rhombus is thai all its sides... | |
| T S. Taylor - 1880 - 152 pages
...produced to any length, still remain ev(.ry where the same distance apart. Euclid's twelfth Axiom. **If a straight line meet two straight lines, so as...side of it taken together less than two right angles,** those straight lines being continually produced, shall at length meet on that side on which are the... | |
| William Stanley Jevons - Philosophy - 1880 - 370 pages
...Give the logical opposites, converse and contrapositive, of Euclid's (so-called) twelfth axiom — **If a straight line meet two straight lines, so as to make the** interior angles on the same side of it taken together less than two right angles, those straight lines... | |
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