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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 Element of Geometry - Side 19
av John Playfair - 1836 - 114 sider
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 sider
...Wherefore upon the same base, &c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " If a straight line meet two straight lines, so as...it 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, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...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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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 sider
...part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet 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. Explanation of Terms and...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 sider
...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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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 sider
...tame side toe/ether equal to two right angles. The axiom referred to is the twelfth, which runs thus: "If a straight line meet 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 latter part of this...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 sider
...cannot enclose a space, (n) 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 on that side on which are the angles that are less than two right angles. Proposition I. Problem. To...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 400 sider
...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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 sider
...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, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...part. 10. Two straight lines cannot enclose a space. 1t. All right angles are equal to one another. 12. If a 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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...Two straight lines cannot enclose a space. 11. All right angles are equal to one another. eJtV 12. If a straight line meet 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 32. A rhombus is thai all its sides...
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