 | John Playfair - Geometry - 1829 - 210 pages
...the exterior angle equal to the interior and opposite angle on the same side of it; and likewise the two interior angles on the same side together equal to two right angles. AXIOM 10. Two straight lines which intersect each other cannot be both parallel to the same straight... | |
 | 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... | |
 | Dugald Stewart - 1829 - 418 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... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...equal to the interior and opposite upon the same side of the line; or mukes the 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 upon the two straight lines... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...exterior angle equal to the interior and opposite on the same side of the line ; or if it makes the two interior angles on the same side, together equal to two right angles ; those two straight lines shall be parallel. For First ; where the exterior angle EGA ,E is equal... | |
 | Euclides - 1833 - 304 pages
...external angle equal to the internal and opposite on the same side of the line, or make the internal angles on the same side together, equal to two right angles, the two right lines are parallel to one another. one of them is = to the external angle (by the 15th,) .-.... | |
 | Mathematics - 1835 - 684 pages
...right angles (2.). Therefore, if 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... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...equal to 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 lines are parallel to one another. Let the straight line EF, which ]£ falls upon the two straight lines \ AB, CD, make... | |
 | Euclid - 1835 - 540 pages
...equal to the interior and opposite upon the same side of the fine ; or makes the 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, which J£ falls upon the two straight lines AB, CD, make... | |
 | Mathematics - 1836 - 488 pages
...equal to 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 lines are parallel to one another. XXIX. If a straight line fall upon two parallel straight lines, it makes the alternate... | |
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... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. 
