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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 also the two interior angles upon the same side together equal... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 26
by Robert Simson - 1827 - 513 pages
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Chambers's Information for the People, Volume 2

William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842
...parallel to CD. But the 29th proposition assumes the converse of this, namely, if a straight line fall upon two parallel straight lines, it makes the alternate...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, Volume 2

Chambers W. and R., ltd - 1842
...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 - Euclid's Elements - 1842 - 317 pages
...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 British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 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 - Geometry - 1845 - 352 pages
...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 - Geometry - 1845 - 199 pages
...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
...&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
...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...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 - Geometry - 1846
...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...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 - Geometry - 1846
...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...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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