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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... "
Elements of Geometry: With Notes - Page 172
by John Radford Young - 1827 - 208 pages
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 - Euclid's Elements - 1880 - 426 pages
...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...produced to any length, still remain ev(.ry where the same distance apart. Euclid's twelfth Axiom. If a straight line meet two straight lines, so as...side of it taken together less than two right angles, those straight lines being continually produced, shall at length meet on that side on which are the...
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Studies in Deductive Logic: A Manual for Students

William Stanley Jevons - Philosophy - 1880 - 370 pages
...Give the logical opposites, converse and contrapositive, of Euclid's (so-called) twelfth axiom — 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, those straight lines...
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