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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. "
Elements of Geometry and Trigonometry - Page 38
by Adrien Marie Legendre - 1852 - 432 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
...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 - 528 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 - 372 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 - 513 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 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 se the straight lines AB, CD,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...obtuse 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...the two lines will meet if sufficiently produced. Letthe line EF meet the two lines CD, IH, making the sum of the Interior angles OGI1, j^ GOD, less...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 359 pages
...obtuse 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...lines will meet if sufficiently produced. Let the line EFmeet the two lines CD, IH, making the sum ef the interior angles OGH, GOD, less than two right...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 359 pages
...CD, III, making the sum ef the interior angles OGI1, GOD, less than two right angles : then will IH and CD meet if sufficiently produced. For, if they do not meet they are parallel (Def.12.). But they are not parallel, for if they were, the sum of the interior angles OGH, GOD, would...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 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 ; (ax. 12.) therefore the straight lines AB, CD, if produced...
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