 | Euclides - Geometry - 1841 - 378 pages
...equal to one another. XII. " If a straight line meet two straight lines, which are " in the same plane, so as to make the two interior " angles on the same...than two right angles, these straight lines being " produced, shall at length meet upon that side on " which are the angles which are less than two "... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...self-evident propositions. It is therefore removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight " lines, so...continually " produced, shall at length meet upon that side on which are the angles "which are less than two right angles." Instead of this proposition, which,... | |
 | Euclides - 1842 - 316 pages
...circle may be described from any centre, at any distance from that centre. IV. [Ax. XI.] V. And that if a straight line meets two straight lines, so as...continually produced, shall at length meet upon that side on which are the angles less than two right angles. AXIOMS. I. THINGS which are equal to the same are... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...Euclid is, that " if a straight line meets two straight " lines, so as to make the two interior anples on the same side of it taken " together less than...continually " produced, shall at length meet upon that side on which are the angles AMONG the Axioms there have been made only two alterations. The 10th Axiom... | |
 | Euclides - 1845 - 546 pages
...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...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an... | |
 | Euclid - Geometry - 1845 - 218 pages
...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...continually produced, shall at length meet " upon that side on which are the angles which are less " than two right angles." PROPOSITIONS. PROPOSITION I. PROBLEM.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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 either proposed... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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...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 either proposed... | |
 | Euclides - 1846 - 292 pages
...straight line meets two straight lines, so as to make the two interior angles on the same side of it together less than two right angles, these straight...continually produced, shall at length meet, upon that side on which are the angles which are less thnn two right angles; therefore EB, FD shall meet, if produced,... | |
 | Euclides - 1847 - 128 pages
...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...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 truth, and... | |
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If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles... 
