... 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 ;... Elements of Geometry: With Notes - Page 165by John Radford Young - 1827 - 208 pagesFull view - About this book
| Robert Simson - Trigonometry - 1806 - 546 pages
...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;... | |
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...each of these three cases, the triangle ABC admits of a perfect adaptation with DEF. PROP. XXV. THEOR. **If a straight line fall upon two parallel straight...interior angle EGA, and the interior angles CFG and AGF** are together equal to two right angles. For suppose the straight line EFG, produced both ways from... | |
| Dugald Stewart - Logic - 1814 - 582 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 pro" duced, will never meet ;"— is not the boundless... | |
| Dugald Stewart - Psychology - 1814 - 560 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** righl angles, these two straight lines, though indefinitely produced, will never meet ;" — is not... | |
| Euclides - 1816 - 588 pages
...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... | |
| John Playfair - 1819 - 354 pages
...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... | |
| Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...of these three cases, the triangle ABC admits of a perfect adaptation with DEF. PROP. XXII. THEOR. **If a straight line fall upon two parallel straight...interior angle EGA, and the interior angles CFG and AGF** on the same side are together equal to two right angles. For conceive a straight line, produced both... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
| Dugald Stewart - 1829 - 442 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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