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" ... upon the same side together equal to two right angles, the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 26
by Robert Potts - 1876 - 403 pages
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...straight line, falling upon two other straight lines, make the two interior angles, on the same ••ide, together equal to two right angles, the two straight lines shall be parallel : and conversely. Cor. -i. (Eue. i. ax. 12.) If one straight line, falling upon two other straight...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...interior angles upon the same side together equal to two right angles; the two straight line* areparaUel to one another. Let the straight line EF, which falls...lines AB, CD, make the exterior angle EGB equal to GHD, the interior E, B H D and opposite angle upon the same side ; or let it make the interior angles...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...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...straight lines AB, CD, make the exterior angle EGB equal so the interior and opposite angle GHD upon the same side ; or make the interior angles on the same...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...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,...the two straight lines \ AB, CD, make the exterior \ Q. angle EGB equal to the interior A and opposite angle GHD upon the same side ; or make the interior...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...straight lines makes the alternate angles equal to one another, these two straight lines are parallel. Let the straight line EF, which falls upon the two straight lines AB, CD, make the alternate angles AEF, EFD equal to one another ; AB is parallel to CD. For, if it be not parallel,...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...one straight line, falling upon two other straight lines, make the two interior angles, on the same side, together equal to two right angles, the two straight lines shall be parallel : and conversely. Cor. 4. (Eue. i. ax. 12.) If one straight line, falling upon two other straight lines,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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...equal to the interior and opposite angle GHD upon the jm same side ; or make the interior angles A \c. ? on the same side BGH, GHD, together \ equal to two...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...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,...straight lines AB, CD, make the exterior angle EGB j^ \lt equal to GHD, the interior and opposite angle upon the same side ; or let it make the interior...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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 EGB E equal to the interior and remote angle GHD \. upon the same side of EF, or make the interior A \~...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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...one another. Let the straight line EF, which falls E upon the two straight lines AB, CD, x make the exterior angle EGB equal to \G the interior and opposite...
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