 | Robert Simson - Trigonometry - 1806 - 518 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.... | |
 | John Playfair - Euclid's Elements - 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... | |
 | Euclid - Geometry - 1810 - 518 pages
...straight lines, so as to make the " two interior angles on the same side of it taken together less " than two right angles, these straight lines being..." 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.... | |
 | 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... | |
 | Sir John Leslie - Geometry - 1817 - 454 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... | |
 | John Playfair - 1819 - 317 pages
...straight lines, so as to make the two interior angles on the same " side of it taken together less than two right angles, these straight " lines being...the angles which are less than two right angles." Instead of this proposition, which though true, is by no means selfevident ; another that appeared... | |
 | 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,... | |
 | Euclid - 1822 - 179 pages
...internal 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...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... | |
 | Peter Nicholson - Mathematics - 1825 - 372 pages
...two straight lines so as to make the two interior angles on the same side of it taken together less than two right angles, these straight lines being...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... | |
 | Robert Simson - Trigonometry - 1827 - 513 pages
...straight lines, so as to " make the two interior angles on the same side of. " it taken together less than two right angles, these " straight lines being...the angles " which are less than two right angles." See the notes on Prop. 29. of Book 1. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon... | |
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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... 
