| 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
...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
...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... | |
| 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 exterior... | |
| 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 - 246 pages
...together equal to two right angles. Cor. 4. Also, a line intersecting two parallels makes (lie two **interior angles on the same side together equal to two right angles.** Cor. 5. A line perpendicular to one of two parallels is perpendicular to the other. Cor. 6. Therefore,... | |
| Dugald Stewart - 1829 - 418 pages
...asserted, 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 produced, will never meet;" — is not the boundless... | |
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