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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 the same side; and likewise the two interior angles upon the same side together... "
Elements of geometry, containing the first two (third and fourth) books of ... - Página 48
por Euclides - 1871
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...QED PROPOSITION XXVIII. THEOB. — If a straight line, falling upon two other straight lines, makes the exterior angle 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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclides, James Thomson - 1845 - 382 páginas
...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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...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...the interior and opposite upon the same side, and also the two interior angles upon the same side together equal to two right angles. Let the straight...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...' / 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...exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...— < 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...exterior angle equal to the interior and opposite angle on the same side ; and likewise the two interior angles upon the same side together equal to...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volumen45

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

Euclid, John Playfair - 1846 - 334 páginas
...in this manner be freed from all difficulty. PROP. III. or 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 and opposite on the same side ; and likewise the two interior...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 páginas
...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...alternate angles equal to one another; and the exterior equal to the interior and opposite angle upon the same side ; and likewise the two interior angles...
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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volumen45

1846 - 648 páginas
...the hypothenuse, if approaching in a line parallel to the perpendicular, " because (Euclid, Prop. 29) if a straight line fall upon two parallel straight...it makes the alternate angles equal to one another ;" therefore, the base AB, being constant, the angle of incidence and the hypothenuse CB must always...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 páginas
...be parallel. PROP. XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line ; or make the interior angles upon the same side together equal to two right angles ; the...
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