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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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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to " make the two interior...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meet two " straight lines, so as to make the two interior...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,...
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Elements of Geometry with Notes

John Radford Young - Geometry, Modern - 1833 - 240 pages
...straight line meet two straight lines so as to make the two interior angles on the same side \T> HAUM T> of it, taken together, less than two right angles,...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 iV...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as...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...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
..." 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,...continually " produced, shall at length meet upon that side on which are the angles " which are leas than two right angles." Instead of this proposition, which,...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...same distance from each other (Cor. 11. 2.), BC will then meet AB. Therefore, if a straight line meet two straight lines, so as to make the two interior...continually produced, shall at length meet upon that side on which are the angles, which are less thau two right angles. Which was to be proved. i PROP. XIV....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...admitted before he can proceed with his subject, and which he calls an Axiom, is as follows. AXIOM XII. If a straight line meets two straight lines so as...continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. It is readily seen that this proposition...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...cannot enclose a space, XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as to make the two . " interior...right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right...
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...enclose a space. XI. All right angles arc equal to one another. XII. •• If a straight line meet two straight lines, so as to make the two " interior...right angles, these straight lines being continually pro" duced, shall at length meet upon that side on which are the angles " which are less than two right...
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