| Pierce Morton - Geometry - 1830 - 584 pages
...straight line, falling upon two other straight lines, make the two interior angles, on the same ••ide, together equal to two right angles, the two straight lines shall be parallel : and conversely. Cor. -i. (Eue. i. ax. 12.) If one straight line, falling upon two other straight... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...interior angles upon the same side together equal to two right angles; the two straight line* areparaUel to one another. Let the straight line EF, which falls...lines AB, CD, make the exterior angle EGB equal to GHD, the interior E, B H D and opposite angle upon the same side ; or let it make the interior angles... | |
| Euclides - 1834 - 518 pages
...the interior and opposite upon the same side of the line, or make the interior angles upon the same side together equal to two right angles, the two straight...straight lines AB, CD, make the exterior angle EGB equal so the interior and opposite angle GHD upon the same side ; or make the interior angles on the same... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...interior 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,...the two straight lines \ AB, CD, make the exterior \ Q. angle EGB equal to the interior A and opposite angle GHD upon the same side ; or make the interior... | |
| Euclid - 1835 - 540 pages
...straight lines makes the alternate angles equal to one another, these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For, if it be not parallel,... | |
| Mathematics - 1835 - 684 pages
...one straight line, falling upon two other straight lines, make the two interior angles, on the same side, together equal to two right angles, the two straight lines shall be parallel : and conversely. Cor. 4. (Eue. i. ax. 12.) If one straight line, falling upon two other straight lines,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...equal to the interior and opposite angle GHD upon the jm same side ; or make the interior angles A \c. ? on the same side BGH, GHD, together \ equal to two... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...interior 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,...straight lines AB, CD, make the exterior angle EGB j^ \lt equal to GHD, the interior and opposite angle upon the same side ; or let it make the interior... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...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 EGB E equal to the interior and remote angle GHD \. upon the same side of EF, or make the interior A \~... | |
| Robert Simson - Geometry - 1838 - 434 pages
...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...one another. Let the straight line EF, which falls E upon the two straight lines AB, CD, x make the exterior angle EGB equal to \G the interior and opposite... | |
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