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" If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 22
by Euclides - 1834
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The English Journal of Education, Volume 4

Education - 1850
...angle is greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon two other straight lines, make the exterior angle...two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite...
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The English Journal of Education, Volume 5

Education - 1851
...line fall upon two parallel straight lines, it makes the alternate angles equal to each other: and the exterior angle equal to the interior and opposite upon the same side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...line fall upon two parallel straight lines, it makes the alternate angles equal to one anotker ; 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...line fall upon two parallel straight lines, if 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 Assurance Magazine, and Journal of the Institute of Actuaries, Volume 3

Insurance - 1853
...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. 30. Draw through a given point between two straight lines not parallel a straight line which shall...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...fall upon two parallel straigM lines, ii makes the aliernate angles equal to one, another ; and tlie 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 rigM angles. LET the...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...lines (AB and CD), both in the same plane, and form internal angles at the same side (BGH and GHD) equal to two right angles, the two straight lines shall be parallel. DEMONSTRATION. Becanse the angles BGH and GHD are equal to two right angles (a), and the angles AGH...
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The popular educator, Volume 4; Volume 7

Popular educator - 1852
...straight lines AB and o D are parallel. QED PROPOSITION XXVIII.*-THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite angle upon the lame side of the straight line ; or make the two interior angles upon the tame side...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 192 pages
...as already proved. COR. 2. If the two interior angles on the same side of the intersecting line are together equal to two right angles, the two straight lines shall be parallel. For, since / BEF t BEG =two right angles (30), .-. / BEF + t BEG = t BEF + L EFD, and .-. L EEG=t...
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