Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon... Elements of geometry, based on Euclid, books i-iii - Side 34av Edward Atkins - 1876 - 119 siderUten tilgangsbegrensning - Om denne boken
| Euclides - 1842 - 316 sider
...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 ; and likewise the two interior angles upon the same side together equal to two right angles. Let the... | |
| John Playfair - 1842 - 332 sider
...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 ; and likewise the two interior angles upon the same side together equal to two right angles. Let the... | |
| 1844 - 688 sider
...straight lines cut one another the vertical angles shall be equal. 4. If a straight line, falling upon two other straight lines, make the exterior angle equal...same side of the line, or make the interior angles on the same side together equal to two right angles, the two straight lines shall be parallel. 5. If... | |
| Euclid, James Thomson - 1845 - 382 sider
...the exterior angle equal to the interior and remote, upon the same side of that line ; and (2) if it make the interior angles upon the same side together equal to two right angles. Let the straight line EF, which falls upon the two straight lines, AB, CD, make the exterior angle... | |
| Euclides - 1845 - 546 sider
...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 ; and likewise the two interior angles upon the same side together equal to two right angles. Let the... | |
| Euclid - 1845 - 218 sider
...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 ; and likewise the two interior angles upon the same side together equal to two right angles. Let the... | |
| Great Britain. Admiralty - 1846 - 128 sider
....'. AB || CD ; ™. ss. GEOMETRY. PROP. XXVII. THEOR. 28. 1 Eu. If a straight line falling upon two other straight lines, make the exterior angle equal...equal to two right angles; the two straight lines shall be parallel to one another. Let the str. line EF, which falls upon AB and CD, make ext. /. EGB... | |
| Euclid, John Playfair - 1846 - 334 sider
...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 ; and likewise the two interior angles upon the same side together equal to two right angles. • Let... | |
| Euclides - 1846 - 292 sider
...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, and also the two interior angles upon the same side together equal to two right angles. Let the straight... | |
| Great Britain. Admiralty - 1846 - 128 sider
...the exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to two right angles. Let the str. line EF fall on the || str. lines AB, CD, then alt. L AGH = alt. Z. GHD, ext. / _ EGB... | |
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