 | John Playfair - 1819 - 354 pages
...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,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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. r> Let the straight line EF, which falls upon the two straight lines \ AB, CD, make the exterior angle... | |
 | William Nicholson - Natural history - 1821 - 406 pages
...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. 1' niAL'.ci. planes, are such planes as have all the perpendiculars drawn betwixt them equal to each... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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. ELEMENTS Or XUCL1D. i 77 Let the straight line EF, which falls upon the two straight lines AB, •... | |
 | George Lees - 1826 - 276 pages
...Book I. PROP. X. THEOREM. If a straight line, EF, falling upon two other straight lines AB, CD, makes the exterior angle EGB, equal to the interior and opposite angle GHD upon the same side, or makes the two interior angles BGH, GHD, on the same side, together equal to two right angles, AB... | |
 | Euclides - 1826 - 226 pages
...; the right lines will be parallel to one another. Let the right line EF falling upon the two right lines AB, CD, make the exterior angle EGB equal to the interior and opposite angle GHD, or the interior angles towards the same parts BGH, GHD, equal to two right angles. The right line \... | |
 | Euclid - 1826 - 234 pages
...; the right lines will be parallel to one another. Let the right line EF falling upon the two right lines AB, CD, make the exterior angle EGB equal to the interior and opposite angle GHD, or the interior angles towards the same parts BGH, GHD, equal to two right angles. The rignt line AB... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...straight, lines make the alternate angles equal to one another^ these two straight lines shall be 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 shall be parallel to CD. For, if it be not parallel,... | |
 | John Playfair - Geometry - 1829 - 210 pages
...to two right angles; the two straight lines are parallel. Let the straight line EF, which intersects the two straight lines AB, CD, make the exterior angle EGB equal to the inte* By reason of the false supposition, and construction of the figure, tWs demonstration is not... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...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 he parallel to one another. Let the straight line EF, which E falls upon the two straight lines AB,... | |
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... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. 
