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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 Teaching and History of Mathematics in the United States - Page 364
by Florian Cajori - 1890 - 400 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
...than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...it taken together 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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 two right angles." Instead of this proposition, which though true, is by no means selfevident ; another...
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The First Six Books with Notes

Euclid - 1822 - 222 pages
...less than two right angles, these right lines being continually produced, shall at length meet upon that side on which are the angles, which are less than two right angles. u angles • 12 V' Elements of Euclid. Fig. 12. PROPOSITION 1. PROBLEM. To describe an...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...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 less than two right angles. Let the straight line AB meet the two straight lines AE, BD, making the interior angles...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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 two right angles." See the notes on Prop. 29. of Book 1. PROPOSITION I. PROBLEM. To describe an equilateral...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...less than two right angles ; these right lines, being continually produced, shall at length meet upon that side on which are the angles, which are less than two .light angles-. PROPOSITION I. PROBLEM. Fig. 12. To describe an equilateral triangle upon a given finite...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 two right " angles. See the notes on Prop. 29. of Book I." PROPOSITION I. PROBLEM. To describe an equilateral...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...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 two right angles. Let the straight line AC fall on the straight lines AB, BC, so as to make the angles...
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