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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... "
Mensuration of lines, areas, surfaces, and volumes - Page xvi
by Robert Rawson - 1856
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 228 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...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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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 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...continually produced, shall at length meet upon that side upon which are the angles which are less than two right angles. The last of these has been added by...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...straight lines so as to make the two interior angles on the same side of it taken together, less tkau two right angles, these straight lines being continually produced, shall at length meet upon that side upon which are the angles which are less than two I right angles. The last of these has .been added...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...two internal angles on the same side of it taken together less than two right angles ; these right lines, being continually produced, shall at length...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
...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." PROPOSITION I. PROBLEM. To describe an equilateral triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 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...upon that side on which are the angles " which are leas than two right angles." Instead of this proposition, which, though true, is by no means self-evident...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 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...that side on which are the angles, which are less thau two right angles. Which was to be proved. i PROP. XIV. THEOR. Parallelograms of equal base and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...same side of it taken together less " than two right angles, these straight lines oeing con" tinually produced, shall at length meet upon that side " on...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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...together less than two right angles, these right lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles." Let the right line EF meet the two right lines AB, CD ; and let the Zs BKL, KLD be together < 2 right...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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...are the angles which are less than two right angles. It is readily seen that this proposition is no other than the converse of Proposition xvii., which...
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