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" That, if a straight line falling on two straight lines make 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. "
Introduction and books 1,2 - Page 202
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...than 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 - Geometry - 1816 - 528 pages
...than 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 - 372 pages
...than 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 - 513 pages
...than 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, John Davidson - Mathematics - 1835 - 513 pages
...than 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 Difussion of Useful ..., Volume 3

1835
...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 Cyclopædia of the Society for the Diffusion of Useful ..., Volume 3

George Long - Encyclopedias and dictionaries - 1835
...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 Penny Cyclopædia of the Society for the Diffusion of Useful Knowledge

1835
...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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...angles. PROPOSITION XXI. THEOREM. If a straight line meet two other straight lines, making the sum of 'the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Letthe line EF meet the two lines CD, IH, making the sum...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...than 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 * 12 Ax. angles meet,* if far enough produced; therefore the straight lines AB, CD, if produced far...
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