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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: Chiefly from the Text of Dr. Simson, with ... - Seite 6
von Robert Potts - 1868 - 410 Seiten
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...are less than two right + z GHD incrlps ' <two right angles. _ _ angles. But if a straight line meet two straight lines, so as to make the two interior...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 Seiten
...cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet 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 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 Seiten
...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 make the two interior...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 - 398 Seiten
...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...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original curfiluiTa,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 Seiten
...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...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original alrl1fiaTa,...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 Seiten
...(10) Two straight lines cannot enclose a space, (n) All right angles are equal to one another. (12) If a straight line meets two straight lines, so as...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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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879 - 378 Seiten
...sides. 4. Three angles. Of these, Case 4 is the only one where the rule is not necessarily true. (d) If a straight line meets 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. SECTION II. (Three Questions.)...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 400 Seiten
...to one another. (This would be understood without making it an axiom.) Axiom 12. (See remark above.) If a straight line meets 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 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 - 146 Seiten
...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...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. [Geometrical propositions...
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Elements of Geometry, After Legendre, with a Selection of Geometrical ...

Charles Scott Venable - 1881 - 380 Seiten
...then, since EFD + HFD = two right angles, we must have GEB — EFD. Therefore (3) AB is parallel to CD. lines so as to make the two interior angles on the same side of it less than two right angles, these straight lines being continually produced will meet on the side on...
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