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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. "
The American Mathematical Monthly: The Official Journal of the Mathematical ... - Side 16
1920
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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 sider
...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 - 1825 - 1046 sider
...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 - 1827 - 546 sider
...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 - 1835 - 540 sider
...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 Cyclopædia of the Society for the Diffusion of Useful Knowledge

1835 - 588 sider
...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 Cyclopaedia of the Society for the Diffussion of Useful ..., Bind 3

Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - 564 sider
...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 ..., Bind 3

1835 - 566 sider
...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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 sider
...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...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 (5. Post.) together if continually produced; therefore the straight lines AB, CD, if produced...
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