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" ... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Side 26
av Robert Potts - 1876 - 403 sider
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 sider
...lines (hall be parallel to one another. Let the ftraight line EF, which falls upon the two ftraight lines AB, CD, make the exterior angle EGB equal to the interior and oppofite angle GHD upon the fame fide ; or make the interior angles on the fame fide BGH, ^ GHD together...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 sider
...to one another. Let the ftraight line EF, which ^, . falls upon the two ftraight lines J^i \. (.; B AB, CD, make the exterior angle " EGB equal to the interior and oppofite angle GHD upon the fame fide ; or make the interior Q Jl\ ^ angles on the fame fide BGH, *i...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...the interior and opposite upon the same side of the line ; or makes the interior angles upon the same side together equal to two right angles ; the two...parallel to one another. Let the straight line EF, which E falls upon the two straight lines \ AB, CD, make the exterior angle N^ £; EGB equal to the interior...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...straight lines make the alternate angles equal to one another, these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another: AB is parallel to CD. For, if it be not parallel, AB...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 5

William Nicholson - 1809 - 684 sider
...interior and opposite one on the same side of the line ; or makes the interior angles on the same side equal to two right angles , the two straight lines shall be parallel to one another. I'M; M, 1,1 j. planes, are such planes ai have all the perpendiculars drawn betwixt them equal to each...
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The British encyclopedia, or, Dictionary of arts and sciences, Volum 5

William Nicholson - 1809 - 716 sider
...interior and opposite one on the same side of tin- line ; or makes tile interior angles on the same side equal to two right angles ; the two straight lines shall be parallel to one another. PARALLEL planet, are such planes a* have all the perpendiculars drawn betwixt them equal to each other....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles; the two straight lines shall be parallel to one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight lines, it makes the alternate...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles; the two straight...parallel to one another. Let the straight line EF, p which falls upon the two ^ straight lines AB, CD, make \ the exterior angle EGB equal y \G- p to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...the interior and opposite upon the same side of the line; or makes the interior angles upon the same side together equal to two right angles ; the two...Let the straight line EF, which falls upon the two E straight lines AB, CD, make >v the exterior angle EGB equal \G « to the interior and opposite '*•...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...the imerior angles upon the same side together equal to two right angles ; the two straight lines are parallel to one another. Let the straight line EF,...lines AB, CD, make the exterior angle EGB equal to GHD, the interior and opposite angle upon the ~g| same side ; or let it make the \T interior angles...
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