 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 ; the two straight lines shall be parallel to one another. Let the straight line EF, which E falls upon the two straight lines... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...will make the alternate angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal,... | |
 | John Mason Good - 1813 - 714 pages
...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; the two straight lines shall be parallel to one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight... | |
 | Dugald Stewart - Logic - 1814 - 582 pages
...for example, that ** if " one straight line falls on two other straight lines, so as to make " the two interior angles on the same side together equal to two " right angles, these two straight lines, though indefinitely pro" duced, will never meet ;"— is not the boundless... | |
 | Euclides - 1816 - 588 pages
...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 ; the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon the two E straight lines... | |
 | Sir John Leslie - Geometry - 1817 - 456 pages
...will make the alternate angles equal, the exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD ; the alternate angles AGF and DFG are... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...equal to the interior and opposite upon the same side of the line; or makes 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, which falls upon the two straight lines AB, CD, make the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 ¡ the two straight lines shall be parallel to one another. ELEMENTS Or XUCL1D. i 77 Let the straight line EF, which falls upon... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...equal to the interior and opposite upon the same s1de of the line / or make the interior angles upon the same side together equal to two right angles : the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon the two straight lines,... | |
 | John Radford Young - Euclid's Elements - 1827 - 228 pages
...will make the alternate angles equal, the exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD ; the alternate angles AGF and DFG are... | |
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... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. 
