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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... "
The Elements of Euclid: viz. the first six books, together with the eleventh ... - Page 26
by Robert Simson - 1835 - 513 pages
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...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 two straight lines ihatt be parallel to one another. Let the straight line EF, which falls upon...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...alternate angles equal to one another ; and the 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 two riff fit angles. Let the str. line EF fall on the || str. lines AB, CD, then alt. ^AGH = alt.^GHD,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...the exterior angle cqual 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 two straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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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
...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 two straight lines are parallel to one another. Let the straight line EF, which 33 falls upon...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 two straight lines shall be parallel to one another. Let the str. line EF, which falls upon AB...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...the 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 upon the same side equal to two right angles. PART. ENUN. — Let the st. line EF meet the || st. lines AB, CD. Then it...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...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...the same side together equal to two right angles. PROP. XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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 egual to two right angles. Let the straight line EF fall upon the parallel straight lines AB, CD; the...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...exterior angle equal to the interior and opposite on the same side; and the two interior angles on the same side together equal to two right angles. Let the straight line EF intersect the two parallel lines AB, CD; the alternate angles AGH, GHD are gle EGB is equal to the...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...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 two straight lines shall be parallel to one another. 2. If one side of a triangle be produced,...
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