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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 too interior angles upon the same side together...
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 39
av John Playfair - 1819 - 317 sider
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## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...another, and the exterior angle equal to the interior and opposite upon the same side; and the two interior angles upon the same side together equal to two right angles. Steps of the Demonstration. Suppose that Z AGH ^ GHD, and that AGH > GHD, Then prove, on that supposition,...
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## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...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 shall be parallel to one another. Let the straight line EF, which falls upon...
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## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...and the exterior angle equal to the interior and opposite upon the tame side ; and likewise the two interior angles upon the same side together equal...straight lines AB, CD : the alternate angles AGH, GHD shall be equal to one another : and the exterior angle EGB shall be equal to the interior nnd opposite,...
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## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...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 two straight lines shall be parallel to one another. Let the straight line EF, which falls upon...
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## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 sider
...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...are equal to one another ; and the exterior angle EG в is equal to the interior and opposite, upon the same side, GHD; and the two interior angles BGH,...
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## Chambers's Information for the People, Volum 2

...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, 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 sider
...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 falls upon the...
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## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 sider
...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...line EF fall upon the parallel straight lines AB, CD. Then the alternate angles A GH, G HD shall be equal to one another ; the exterior angle EGB shall be...
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## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 380 sider
...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 - 218 sider
...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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