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" That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. "
Continuous Symmetry: From Euclid to Klein - Page xiii
by William H. Barker, Roger Howe - 546 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
...two right angles ; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, do meet* together if continually produced ; therefore • 12. •«. the straight lines AB, CD, if...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...two right angles ; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, do meet* together if continually * ig AX.' produced; therefore the straight lines AB, CD, if produced...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...two right angles ; but those straight lines which, with another straight line tilling upon them, make the interior angles on the same side less than two right angles, do meet (12. Ax.) together if continually produced; therefore the straight lines AB, CD, if produced...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...two right angles : but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, will meet * together if continually produced; therefore the straight lines AB, CD, if produced far...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...on the same side less than two right angles, these two — right lines will meet if they be produced on that side on which the angles are less than two right angles. (5t>) The geometrical axioms are certain general propositions, the truth of which is taken to be self-evident,...
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The Penny Cyclopędia of the Society for the Diffusion of Useful Knowledge

1835 - 588 pages
...Also, if a straight line, falling upon two straight lines, make the angles which are within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than...
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The Penny Cyclopędia of the Society for the Diffusion of Useful ..., Volume 3

Encyclopedias and dictionaries - 1835 - 566 pages
...Also, if a straight line, falling upon two straight lines, make the angles which we within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...two right angles ; but those straight lines which, with another straight line falling upon them, make the interior angles on the same side less than two right angles, * 12. ax. do meet * together if continually produced ; therefore the s«e the straight lines AB, CD,...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 3

Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - 564 pages
...Also, if a straight line, falling upon two straight lines, make the angles which are within and upon the same side less than two right angles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than...
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Penny Cyclopaedia of the Society for the Diffusion of Useful ..., Volumes 3-4

Encyclopedias and dictionaries - 1835 - 1102 pages
...two right •ogles, the two straight lines, being lengthened without end, shall meet one another upon that side on which the angles are less than two right angles.] 12. Also, two itruiirht lines cannot inclose a space. The two axioms, 10 and II, inclosed in brackets,...
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