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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... "
Practical geometry for art students - Page 21
by John Carroll (art master.) - 1881
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...AB is parallel to CD. (i. 27.) Wherefore, if a straight line, &c. QED PROPOSITION XXIX. THEOREM. Jf 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 the same side ; and...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...angles ; therefore AB is parallel to CD. Wherefore, If a straight line itc . QEU PROP. XXIX. THEOR. 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 the same side, and also...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...' / PHD— I Z. AGH, which are**-3Wherefore, if a straight line, &c. PROP. XXVIII. THEOR. 29. iEu. 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 angle on the same side ;...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...— < L AGH, which ABUCD^"- 8 ' t Wherefore, if a straight line, &c. PROP. XXVIIF. THEOR. 29. iKu. 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 angle on the same side ;...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 45

Perry Fairfax Nursey - Industrial arts - 1846 - 650 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...straight lines are perpendicular to a third line, they will be parallel to each other. PROP. XXIX. THEOR. 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 the same side ; and...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 45

1846 - 648 pages
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...is || to CD. (Prop. XXVII.) Wherefore, if a st. line, &c.— QED PROP. XXIX. THEOR. GEN. ENUN. — If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior equal to the interior and opposite angle upon the same side ; and...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...to two right angles ; the two straight lines shall be parallel to one another. PROP. XXIX. THEOREM. 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 the same side ; and...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel to CD (i.27.). Wherefore if a straight line, &c. QED PROP. XXIX. THEOR. 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 the same side; and likewise...
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