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" IF a straight 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... "
Iron: An Illustrated Weekly Journal for Iron and Steel Manufacturers ... - Seite 453
herausgegeben von - 1846
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 5

William Nicholson - 1809 - 684 Seiten
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite augle on the same side ; and likewise,...
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The British encyclopedia, or, Dictionary of arts and sciences, Band 5

William Nicholson - 1809 - 716 Seiten
...straight line may be drawn parallel to that straight line, or that straight lice produced. M. 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 to the interior and opposite angle on the...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...equal to two right angles; the two straight lines shall be parallel to one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 Seiten
...angles ; therefore AB is parallel to CD. Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. If a straight line fall upon two parallel straight...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 to'o...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 Seiten
...angles: therefore AB is parallel to CD. Wherefore,' if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight...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...
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American Edition of the British Encyclopedia: Or, Dictionary of Arts ..., Band 9

William Nicholson - 1821 - 406 Seiten
...straight line may be drawn parallel to that straight line, or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite angle on the same side ; and likewise the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...therefore AB is parallel to С D. Wherefore if a straight line, &c. OKD Proposition ХХГХ. Theorem, If a straight line fall upon two parallel straight...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...thts proposttton. * 15. 1. t 1 Ax. f2 Ax. * 13. 1. t 1 Ax. PROP. XXIX. THEOR. If a straight line Jail 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...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 228 Seiten
...a point between G and K, therefore, &c. PROPOSITION n. ,(29. I. Euclid.) If a straight line fall on two parallel straight lines it makes, the alternate angles equal to one another ; the exterior eqttal to the interior and opposite on the same side ; and likewise the two interior...
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