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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 Element of Geometry - Page 19
by John Playfair - 1836 - 114 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as to make the " two interior...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...and opposite. In order to demonstrate this proposition Euclid assumes it as an axiom, Book I. that " if a straight line meet two straight lines, so as to make v^-v^/ " the interior angles on the same side of it less than two right " angles, these straight lines...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...strnidit line meets twu straight line*, so as to make the two interior angles on tr.e same side of ”t taken together less than two right angles, these straight lines being continually produce,], shall at length meet upon that side o>> which are the angles which are less tha-i two rig'it...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1814
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two 'other straight lines, so as to make the two interior angles on the same side together equal to two righl angles, these two straight lines, though indefinitely produced, will never...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that " if a straight line meet two straight " lines, so as to make the interior angles on the same side of it less than " two right angles, these straight lines being continually...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 9

William Nicholson - Natural history - 1821
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 516 pages
...X, Two straight lines cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet two straight lines, so as...than two right angles, these straight lines being continual" ly produced, shall at length meet upon that side on which " are the angles which are less...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1821
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make :' the two interior angles on the same side together equal to tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 320 pages
...axioms, and that whieh was before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet two "straight lines, so as...than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the angles whieh are less...
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