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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... "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879 - 400 pages
...make the two interior angles on the same 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 angles which are less than two right angles. (Fig. A 3, in which line AB cuts the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...its part. 10. Two straight lines cannot enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight lines so...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 Notions,' or...
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The Popular Science Monthly, Volume 17

Science - 1880 - 900 pages
...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...continually produced shall at length meet upon that side on which are the angles, which are together less than two right angles." This somewhat complicated...
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The Popular Science Monthly, Volume 17

Science - 1880 - 924 pages
...his six al-ijiiara (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...continually produced shall at length meet upon that side on which are the angles, which are together less than two right angles." This somewhat complicated...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...lines cannot enclose a space. 11. All right angles are equal to each other. 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 that are less than two right angles (Seepage 100, Part III.}....
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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
...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 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 32. A rhombus is thai all its sides...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...another. xn If a straight line meets two straight lines, no as to make the two interior angles on thr same side of it, taken together, less than two right angles, these straight lines, oeing continually produced, shall at length meet T upon that side on which are the angles which \ are...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...5. ' That two straight lines cannot enclose a space.1 6. ' That if a straight line meet two others, so as to make the two interior angles on the same...continually produced, shall at length meet upon that side on which are the angles which are together less than two right angles.' THE AXIOMS. We next have a...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...one that can be more readily accepted as an axiom than Euclid's, which is, " 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 less than two right angles " (see I. 29, Cor.) The first eight...
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New Englander and Yale Review, Volume 42

Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - United States - 1883 - 872 pages
...Euclid, or put Euclid's axiom in a different form. Thus Euclid's axiom is, "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. This axiom is a puzzling...
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