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" If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 4
von Euclides - 1853 - 147 Seiten
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Transactions and Proceedings of the New Zealand Institute, Band 18

New Zealand Institute - 1886 - 532 Seiten
...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...
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The American Mathematical Monthly: Devoted to the Interests of ..., Bände 3-4

1896 - 740 Seiten
...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...
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Atti del V Congresso internazionale di filosofia, Napoli 5-9 maggio 1924 ...

Guido Della Valle - 1925 - 1280 Seiten
...line. The furst runs as follows: « Two straight lines cannot enclose a space », and the second: « If a « straight line meets two straight lines, so as to make the two interior « angles on one side of it together less than two right angles, these strai« ght lines meet, if continually produced,...
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New Monthly Magazine, and Universal Register, Band 30

Thomas Campbell, Samuel Carter Hall, Edward Bulwer Lytton Baron Lytton, Theodore Edward Hook, Thomas Hood, William Harrison Ainsworth, William Ainsworth - 1830 - 560 Seiten
...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...
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A Short Hstory of of Greek Mathematics

James Gow - 380 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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The Growth of Physical Science

Sir James Hopwood Jeans - 1951 - 412 Seiten
...when Euclid was only about "ten years old, while some of its contents were certainly known to the * ' If a straight line meets two straight lines so as to make the interior angles on one side of it together less than two right angles, then these straight lines will...
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