 | Robert Simson - 1806 - 546 σελίδες
...the interior and position. opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles, AGH, GHD are equal to one another;... | |
 | Dugald Stewart - 1814 - 582 σελίδες
...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 pro" duced, will never meet ;"— is not the boundless... | |
 | Dugald Stewart - 1814 - 560 σελίδες
...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 righl angles, these two straight lines, though indefinitely produced, will never meet ;" — is not... | |
 | Euclides - 1816 - 588 σελίδες
...to the inte-sit10"' rior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. „ ' . Let the straight line EF fell upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD, are equal to one another... | |
 | Sir John Leslie - 1817 - 456 σελίδες
...each of these three cases, the triangle ABC admits of a perfect adaptation with DEF. f PROP. XXII. THEOR. If a straight line fall upon two parallel straight...interior angle EGA, and the interior angles CFG and AGF, or FGB and GFD, are together equal to two right angles. For conceive a straight line, produced both... | |
 | John Playfair - 1819 - 354 σελίδες
...angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another... | |
 | John Radford Young - 1827 - 228 σελίδες
...side are together equal to two right angles. Cor. 4. Also, a line intersecting two parallels makes the 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,... | |
 | Robert Simson - 1827 - 546 σελίδες
...equal to the interior and opposite upon the same side .• and likewise the two interior angles upon the same side together equal to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD : the alternate angles AGH, GHD, shall be equal to... | |
 | John Radford Young - 1827 - 246 σελίδες
...are 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,... | |
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... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ;... 
