 | Euclid, John Playfair - 1795 - 462 σελίδες
...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... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...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... | |
 | Robert Simson - 1806 - 546 σελίδες
...equal to 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 ;...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... | |
 | John Playfair - 1806 - 320 σελίδες
...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... | |
 | William Nicholson - 1809 - 684 σελίδες
...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... | |
 | William Nicholson - 1809 - 716 σελίδες
...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.... | |
 | John Mason Good - 1813 - 714 σελίδες
...equal to 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;...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... | |
 | Euclides - 1814 - 560 σελίδες
...equal to 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;...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... | |
 | Euclides - 1816 - 588 σελίδες
...equal to 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 ;...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 '*•... | |
 | John Playfair - 1819 - 354 σελίδες
...straight lines makes 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 he not parallel,... | |
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... the same side together equal to two right angles, the two straight lines shall be parallel to one another. 
