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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...
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 4
von Euclides - 1862
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## The Elements of Plane Geometry

Charles Austin Hobbs - 1899 - 240 Seiten
...exterior angles are parallel. Proposition 32. Theorem. 43. If two straight lines are cut by a transversal so as to make the two interior angles on the same side of the transversal supplementary, the two straight lines are parallel. Consult Prop. 4 and Prop. 30. COB....
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## A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bücher 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 Seiten
...another, are equal. 10. Two 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 interior angles on one side of it together less than two right angles, these straight lines will meet...
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## Principles of Class Teaching

Joseph John Findlay - 1902 - 442 Seiten
...proposition (it is numbered as the first part of Proposition 28) : — If a straight line meet two other straight lines, so as to make the two interior angles on the same side supplementary, the lines will never meet, although produced ever so far. You can prove it by assuming...
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## The Monist, Band 13

1903
...is only one form of the conception of parallelism. So it was formulated axiomatically as follows : " 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." This dogmatic statement...
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## A Text-book of Euclid's Elements for the Use of Schools, Bücher 1

Euclid - 1904 - 456 Seiten
...another, are equal. 10. Two 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 interior angles on one side of it together less than two right angles, these straight lines will meet...
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## Space and Geometry in the Light of Physiological, Psychological and Physical ...

Ernst Mach - 1906 - 144 Seiten
...system is found the so-called Fifth Postulate (also called the Eleventh Axiom and by some the Twelfth) : "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." Euclid easily proves...
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## Space and Geometry in the Light of Physiological, Psychological and Physical ...

Ernst Mach - 1906 - 144 Seiten
...system is found the so-called Fifth Postulate (also called the Eleventh Axiom and by some the Twelfth) : "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." Euclid easily proves...
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## Winged Words

Henry Heathcote Statham - 1907 - 281 Seiten
...248-252. t It may save some readers the trouble of referring to their Euclid to print the axiom here : " If a straight line meet two straight lines so as to make the interior angles on one side of it together less than two right angles, these straight lines will meet...
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## A Short Account of the History of Mathematics

Walter William Rouse Ball - 1908 - 522 Seiten
...usually stated iu the form that if a straight line meets two straight lines, so as to make the sum of the two interior angles on the same side of it taken together less than two right angles, then these straight lines being continually7 produced will at length meet upon that side on which are...
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## Lectures on the Philosophy of Mathematics

James Byrnie Shaw - 1918 - 206 Seiten
...approach also, that is, in non-Euclidean geometry. Euclid had among his postulates one which read thus : If a straight line meet two straight lines so as to...lines, being continually produced, shall at length meet upon that side of the line on which are the angles which are less than two right angles. For ages mathematicians...
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