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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... "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 60
edited by - 1854
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...another. V. That two straight lines cannot inclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...than two right angles, these straight lines being continually produced shalj. at length meet upon that side, on which are the angles, which are together...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...its part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. XII. " If a straight line meets two straight lines,...than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1873 - 238 pages
...greater than its part. 10. Two straight lines can not inclose a space. 12. If a straight line meet two straight lines, so as to make the two interior...than two right angles, these straight lines being continually produced, shall at length meet on that side on which are the angles which are less than...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. • If a straight line meets two straight lines, so as...than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than...
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The Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - Circle-squaring - 1874 - 207 pages
...greater than its part. 10. Two straight lines can not inclose a space. 12. If a straight line meet two straight lines, so as to make the two interior...than two right angles, these straight lines being continually produced, shall at length meet on that side on which are the angles which are less than...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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...than two right angles, these straight lines being continually produced shall at length meet on that side on which are the angles which are less than...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...&c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " If a straight line meet two straight lines, so as to make the two interior...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. xn. If a straight line meets two straight lines, so as...than two right angles ; these straight lines being continually produced, shall at length meet upon that side on which are the angles which are less than...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...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 pages
...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...than two right angles, these straight lines being continually produced shall at length meet on that side on which are the angles which are less than...
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