| Euclid - Geometry - 1845 - 218 pages
...cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as to make "the two interior...lines being continually produced, shall at length meet " upon that side on which are the angles which are less " than two right angles." PROPOSITIONS. PROPOSITION... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...to one another. |j 12. If a straight line meet two other straight lines which are in the same plane, so as to make the two interior angles on the same...together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.^ * ln this axiom and the following,... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. A proposition is something... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...part. X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. A proposition is something... | |
| Euclides - 1846 - 292 pages
...cannot enclose a space. xi. All right angles are equal to one another. xn. If a straight line falls upon two straight lines, so as to make the two interior angles on the same side of it together less than two right angles, those straight lines, being continually produced, shall at length... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that "if a " straight line meet two straight lines, so as to make the interior angles on " the same side of it less than two right angles, these straight lines being " continually... | |
| Euclides - 1847 - 128 pages
...6). 11. All right angles are equal to one another. (See Definition 10.) 12. If a straight line meets two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. An Axiom is a self-evident... | |
| Dugald Stewart - Psychology - 1847 - 666 pages
...Euclid's Elements. When it is assorted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the san»« side together equal to two right angles, these two straight lines, though indefinitely produced,... | |
| Euclides - 1848 - 52 pages
...part. X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROP. I.... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...cannot inclose a space. XI. All right angles are equal to one another. XIL " If a straight line meets two straight lines, so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. PROBLEM.... | |
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