 | Euclides - Geometry - 1841 - 378 pages
...the third angle BAC to the third angle EDF. Therefore, if two triangles, &c. QED PROP. XXVII. THEOR. If a straight line, falling upon two other straight lines, make the alternate angles equal to one another, these two straight lines shall be parallel. Let the straight... | |
 | Chambers W. and R., ltd - 1842 - 744 pages
...the exterior angle equal to the interior and opposite angle upon the same side of the line, or makes the interior angles upon the same side together equal...two straight lines shall be parallel to one another. To make this more clear, it may be as well to subjoin an example. Let the straight line EF, which E»... | |
 | William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...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. Now,... | |
 | Euclides - 1842 - 316 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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... | |
 | Education - 1844 - 688 pages
...equal sides are opposite. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line falling upon two other straight lines make the alternate angles equal to one another, these two straight lines shall be parallel. 5. The opposite... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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 pages
...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 - Geometry - 1845 - 218 pages
...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 - Geometry - 1846 - 128 pages
...manner it may be proved that they do not meet towards A, C ; .'. AB || CD ; ™. ss. GEOMETRY. PROP. XXVII. THEOR. 28. 1 Eu. If a straight line falling...Let the str. line EF, which falls upon AB and CD, make ext. /. EGB = /_ GHD, the int. and oppo. /. on the same side. Or int. l_ s on the same side, viz.... | |
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Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... 
