 | Euclid, John Playfair - 1795 - 462 Seiten
...ftraight line, &c. Q^ ED PROP. XXIX. THE OR. See N. TF a ftraight line fall upon two parallel ftraight J. lines, it makes the alternate angles equal to one...; and the exterior angle equal to the interior and oppofite upon the fame fide ; and likewife the two interior angles upon the fame fide together equal... | |
 | Robert Simson - 1804 - 530 Seiten
...line, &c. Q^ED PROP. XXIX. THEOR. IF a ftraight line falls upon two parallel ftraight lines, VT Scc the it makes the alternate angles equal to one another...;. and the exterior angle equal to the interior and oppofite fltion upon the fame fide; and likewife the two interior angles upon the fame fide together... | |
 | John Playfair - 1806 - 320 Seiten
...AB in a point between G and K. Therefore, if two straight lines, &c. QED PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines it makes the alternate angles equal to each other, the exterior equal to the interior and opposite on the same side, and the two interior... | |
 | William Nicholson - 1809 - 684 Seiten
...to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite augle on the same side ; and likewise, the two interior angles upon the same side, together, equal... | |
 | William Nicholson - 1809 - 716 Seiten
...Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angle« equal to one another ; and the exterior angle equal...interior and opposite angle on the same side ; and likewise, the two interior angles upon the same side, together, equal to two right angles. If AB, (fig.... | |
 | John Mason Good - 1813 - 714 Seiten
...two straight lines shall be parallel to one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight lines, it makes the alternate...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... | |
 | William Nicholson - 1821 - 402 Seiten
...to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate...interior and opposite angle on the same side , and likewise the two interior angles upon the same side, together, equal to two right angles If AB (fig.... | |
 | John Playfair - 1819 - 350 Seiten
...parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight lines, it makes the alternate...exterior angle equal to the interior and opposite upon the same side ; and likewise the to'o interior angles upon the same side together equal to two... | |
 | John Playfair - 1819 - 354 Seiten
...doctrine of parallel lines would in this manner be freed from all difficulty. PROP. III. 29. 1. Euclid. If a straight line fall on two parallel straight lines,...it makes the alternate angles equal to one another ; the exterior equal to the interior * Prop. 1 1. Sup. The reference to this proposition involves nothing... | |
 | William Nicholson - 1821 - 406 Seiten
...to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate...interior and opposite angle on the same side ; and likewise the two interior angles upon the same side, together, equal to two right angles If AB (fig.... | |
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IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... 
