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" if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 26
por Euclid - 1835 - 513 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...straight line, &c. QED PROP. XXVIII. THEOR. 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 ;...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...line, &c. QED PROP. XXVIII. THEOR. 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 make the interior angles upon the same side together equal to two right angles; the...
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Chambers's Information for the People, Volumen2

William Chambers, Robert Chambers - 1842
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...the same side together equal to two right angles. Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses...
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Chambers's information for the people, ed. by W. and R. Chambers, Volumen2

Chambers W. and R., ltd - 1842 - 744 páginas
...proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight hues, it makes the alternate angles equal to one another...the same side together equal to two right angles. Now, the assertion contained in this theorem is both easy of comprehension and evident to the senses;...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...parallel to CD. PROP. XXVIII. THEOR. 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 ;...
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The British Annals of Education for ...: Being The Scholastic ..., Volúmenes1-2

1844
...vertical angles shall be equal. 4. 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 on the same side together equal to two right angles, the two...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 páginas
...one another ; (2) the exterior angle equal to the interior and remote upon the same side ; and (3) the two interior angles upon the same side together equal to two right angles, t Let the straight lines AB, CD be parallel, and let EF fall upon them ; then (1) the alternate angles...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 páginas
...&c. QED PROPOSITION XXVIII. THEOREM. 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 iwo right angles ;...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 páginas
...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...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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