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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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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...another. V. That two straight lines cannot enclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 Seiten
...Therefore the angles BGH, GHD are less than two right + z GHD incrlps ' <two right angles. _ _ angles. But if a straight line meet two straight lines, so as...than two right angles, these straight lines being Hence AB and CD meet, and are parallel. not unequal to z GHD. and ^EOB = iGHD, >lso ZBGH + i GHD =...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 1 2. If a straight line meet two straight lines so as to...taken together, less than two right angles, these two straight lines being continually produced shall at length meet on that side on which are the angles...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878
...straight lines cannot enclose a space. VI. That if a straight line meet two other straight lines, BO as to make the two interior angles on the same side...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...two straight lines cannot enclose a space. VI. That if a straight line meet two other straight lmos, so as to make the two interior angles on the same...lines being continually produced shall at length meet upon that side, on which are the angles, which are together less than two right angles. The word rendered...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879
...would be understood without making it an axiom.) Axiom 12. (See remark above.) If a straight line meets two straight lines, so as to make the two interior...side of it taken together less than two right angles, those straight lines being continually produced shall at length meet upon that side in which are the...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 1t. All right angles are equal to one another. 12. If...straight line meet two straight lines, so as to make the interior angles on the same side of it taken together less than two right angles, these straight lines,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...angles, and therefore the angles BEF, EFD are less than two right angles. But if a straight line meets two straight lines so as to make the two interior angles on the same side together less than two right angles, these straight lines, being continually produced, shall at length...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 Seiten
...lines cannot enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so as to make the two interior...lines being continually produced shall at length meet upon that side on which are the angles which are less than two right angles. The Axioms are ' Common...
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The Popular Science Monthly, Band 17

1880
...his six alrrjuara (requests) Euclid says : " Let it be granted that if a straight line meet two other straight lines, so as to make the two interior angles...lines being continually produced shall at length meet upon that side on which are the angles, which are together less than two right angles." This somewhat...
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