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" Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to... "
The Elements of Geometry, Symbolically Arranged - Page 36
by Great Britain. Admiralty - 1846
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...the third angle BAC to the third angle EDF. Therefore, if two triangles, &c. QED PROP. XXVII. THEOR. If a straight line, falling upon two other straight lines, make the alternate angles equal to one another, these two straight lines shall be parallel. Let the straight...
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Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...the exterior angle equal to the interior and opposite angle upon the same side of the line, or makes the interior angles upon the same side together equal...two straight lines shall be parallel to one another. To make this more clear, it may be as well to subjoin an example. Let the straight line EF, which EĽ...
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Chambers's Information for the People, Volume 2

William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842
...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 equal to two right angles. Now,...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...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 equal to two right angles. Let the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...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 equal to two right angles. Let the...
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The British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 1844 - 688 pages
...equal sides are opposite. 3. Any two angles of a triangle are together less than two right angles. 4. If a straight line falling upon two other straight lines make the alternate angles equal to one another, these two straight lines shall be parallel. 5. The opposite...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...the 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...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 equal to two right angles. Let the...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...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 equal to two right angles. Let the...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...manner it may be proved that they do not meet towards A, C ; .'. AB || CD ; ™. ss. GEOMETRY. PROP. XXVII. THEOR. 28. 1 Eu. If a straight line falling...Let the str. line EF, which falls upon AB and CD, make ext. /. EGB = /_ GHD, the int. and oppo. /. on the same side. Or int. l_ s on the same side, viz....
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