| Euclid - 1845 - 199 sider
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. " **If a straight line meets two straight lines, so as...the angles which are less " than two right angles."** PROPOSITIONS. PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight... | |
| Euclides - 1845
...part. X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. **If a straight line meets two straight lines, so as...are the angles which are less than two right angles.** PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let... | |
| Euclid, James Thomson - 1845 - 352 sider
...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 - 1846
...cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meet **two straight lines, so as to make the two interior...are the angles which are less than two right angles.** A proposition is something either proposed to be done, or to be demonstrated, and iseither a problem... | |
| Great Britain. Admiralty - 1846
...cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meet **two straight lines, so as to make the two interior...are the angles which are less than two right angles.** A proposition is something either proposed to he done, or to he demonstrated, and iseither a problem... | |
| Euclides - 1846
...to two right angles, and therefore the angles BEF, EFD are together less than two right angles : But **If a straight line meets two straight lines, so as...make the two interior angles on the same side of it** together less than two right angles, these straight lines, being continually produced, shall at length... | |
| Euclides - 1847
...impossible (Note on Definition 6). 11. All right angles are equal to one another. (See Definition 10.) 12. **If a straight line meets two straight lines, so as...are the angles which are less than two right angles.** An Axiom is a self-evident truth, and is so called from its being worthy (d£ioc) of universal acknowledgment.... | |
| Dugald Stewart - 1847 - 627 sider
...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
...cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meet **two straight lines, so as to make the two interior...are the angles which are less than two right angles.** PROPOSITIONS. PROP. I. PROBLEM. To describe an equilateral triangle upon a given finite straight line.... | |
| Euclides, Thomas Tate - 1849 - 108 sider
...x. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XIL " **If a straight line meets two straight lines, so as...the angles which are less than two right angles."** PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let... | |
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