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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 Elements of Euclid: With Many Additional Propositions, & Explanatory ... - Page 22
by Euclid - 1853 - 136 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...same side of it taken together " less than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on "...are the angles Which are less than two right angles. " See the notes on prop. 29. of book I." Book !. a 3. Postulate. b 1. Post. PROPOSITION I. PROBLEM....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...taken together less than two right ' angles, these straight lines being continually produced will, ' at length meet upon that side on which are the angles which ' are less than two right angles.' Instead of this proposition, which, though true, is by no means self-evident, another that appeared...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...interior angles on the same side of it taken together less " than two right angles, these straight lines being continually " produced, shall at length meet..." the angles which are less than two right Angles. See the " notes on prop. 29. of Book I." a 3. I'Mtulate. b 9. Post. PROPOSITION I. PROBLEM. Book I....
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...GHC together less than two right angles, KL and CD will meet towards K and C, or on that side of EF on which are the angles which are less than two right angles. For if not, KL and CD are either parallel, or meet towards L and D ; but they are not parallel, for...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...less than two right angles, these straight lines, being continually produced, will at length meet on that side on which are the angles which are less than two right angles.) Using the notation of your book, his assumption is* that C = if : (A, B, c) : Now, this means that...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...interior angles on the same " side of it taken together less than two right angles, these straight " lines being continually produced, shall at length meet upon...the angles which are less than two right angles." Instead of this proposition, which though true, is by no means selfevident ; another that appeared...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...less than two right angles, these straight lines, being continually produced, will at length meet on that side, on which are the angles which are less than two rig-fat angles.) Using the notation of your book, his assumption is, that C = $ : (A, B, c) : Now,...
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The First Six Books with Notes

Euclid - 1822 - 222 pages
...angles on the same side of it gee ff. taken together less than two right angles, these right lines being continually produced, shall at length meet upon...the angles, which are less than two right angles. u angles • 12 V' Elements of Euclid. Fig. 12. PROPOSITION 1. PROBLEM. To describe an equilateral...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...interior angles on the same side of it taken together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles which are lest than two right angles." Proposition I. Problem. To describe an equilateral triangle upon a given...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...interior angles on the same side of it, taken together, less than two right angles, these straight lines being continually produced shall at length meet upon...are the angles which are less than two right angles. Let the straight line AB meet the two straight lines AE, BD, making the interior angles EAB, DBA, together,...
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