| 1901
...far from "self-evident" it is the reader may judge for himself. "If a straight line meets two other **straight lines so as to make the two interior angles...it taken together less than two right angles, these** sides being continually produced shall at length meet on that side on which are the angles which are... | |
| 1906
...can not enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet **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 which are less than two right angles. Modern objections to these... | |
| Roberto Bonola - 1955 - 389 Seiten
...make equal alternate angles, he hrings m the unwieldly postulate or axiom: " If a straight line meet **two straight lines, so as to make the two interior...less than two right angles, these straight lines,** heing continually produced, shall at length meet on that side on which are the angles which are less... | |
| University Council for Educational Administration - 1962 - 548 Seiten
...primitive terms, for example, "point"; defined terms, for example, "triangle"; axioms, for example, **"If a straight line meets two straight lines, so as to make** two interior angles on the same side of it taken together less than two right angles, these straight... | |
| I. N. Herstein, Irving Kaplansky - 1978 - 246 Seiten
...one another. But nothing up to this point has prepared us for the astonishing final axiom. AXIOM 12. **If a straight line meets 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 axiom is illustrated... | |
| Ivor Grattan-Guinness, Gerard Bornet - 1997 - 236 Seiten
...4. And that all right angles are equal to one another. 5. And that if a straight line meet two other **straight lines so as to make the two interior angles...these straight lines being continually produced shall** meet on that side on which are the angles which are less than two right angles. 6. And that two straight... | |
| New Zealand Institute - 1886
...equivalence of the three forms of the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is : — " **If a straight line meets two straight lines, so as...than two right angles, these straight lines being** I continually produced shall at length meet upon that side on which are the angles which are less than... | |
| 1896
...the two angles AKH and CfJK equal to two right angles. QED PROPOSITION XI. If a straight line meet **two straight lines so as to make the two interior angles on the same side of it taken** tdgethcr less than two light angles, these straight lines, being continually produced, shall at length... | |
| Thomas Campbell, Samuel Carter Hall, Edward Bulwer Lytton Baron Lytton, Theodore Edward Hook, Thomas Hood, William Harrison Ainsworth - 1830
...the two interior angles on the same side of it, taken together, less than two right angles, these two **straight lines, being continually produced, shall,...length, meet upon that side on which are the angles** that are less than two right angles." This proposition, the author remarks, is improperly placed among... | |
| James Gow - 2018 - 346 Seiten
...straight lines cannot enclose a space: 11. All right angles are equal: 12. If a straight line meet **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 lines will meet if produced on that side. Of these... | |
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