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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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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD ; the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, • GHD ; and the two interior • angles BGH, GHD upon the fame fide...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD ; the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide,GHD \ sind the two interior • angles BGH, GHD upon the fame fide arc...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...equal to two right angles. Let Let the ftraight line EF fall upon the parallel ftraight lines ^Book I. AB, CD ; the alternate angles AGH, GHD are equal to...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD upon the fame fide are together...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...fame fide together equal to two right angles. Let the ftraight line EF fall upon the parallel ftraight lines AB, CD. the alternate angles AGH, GHD are equal...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD upon -& the fame fide are...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...to two right angles, Let Let the ftraight line EF fall upon the parallel ftraight lines J5o°k IAB, CD ; the alternate angles AGH, GHD are equal to one...the exterior angle EGB is equal to the interior and oppofite, upon the fame fide, GHD ; and the two interior angles BGH, GHD upon the fame fide are together...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...the two interior angles on the same side equal to two right angles. Let the straight line EF fall on the parallel straight lines AB, CD ; the .alternate angles AGH, GHD are equal, the exterior angle EGB is equal to the interior and opposite GHD, and the two interior angles BGH,...
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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 5

William Nicholson - Natural history - 1809 - 684 pages
...alternate angles equal to one another ; and the exterior angle equal to the interior and opposite augle on the same side ; and likewise, the two interior angles...the same side, together, equal to two right angles. If AB, (fig. 5) be parallel to CD, and £ F cut them in the points HG, then the angle AHG equals the...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 5

William Nicholson - 1809 - 716 pages
...alternate angle« 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...the same side, together, equal to two right angles. If AB, (fig. 5) be parallel to С D, and EF cut them in the points HG, then the angle AHG equals the...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...angles equal, the' exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD; the alternate angles AGF and DFG are equal, the exterior angle...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 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 equal to two right ansies. Prop. XXX. Theor. Straight lines which are parallel to the same straight line are paiallel...
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