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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... "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 38
von Euclides - 1838
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...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 E falls...
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The British encyclopedia, or, Dictionary of arts and sciences, Band 5

William Nicholson - 1809
...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 upon...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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The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 5

William Nicholson - 1809
...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 upon...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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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 Seiten
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 Seiten
...one ano- "huprop ther; and the exterior angle equal to the interior andsitioiv opposite upon the same side; and likewise the two interior angles upon the same side together equal to two/right angles. V Let the straight line EF fall upon the parallel straight lines AB, CD; the alternate...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813
...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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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...oneJ^""" 0 , another; and the exterior angle equal to the inte- »ti'm. rior and opposite upon the same side ; and likewise the two interior angles upon the...parallel straight lines AB, CD; the alternate angles AGH, GH D, are equal to one another ; and the exterior angle EGB is equal to the interior and opposite,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 Seiten
...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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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 Seiten
...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 Seiten
...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 equal...straight lines AB, CD ; the alternate angles AGH, GHD are equal to one another ; and the exterior angle EGB is equal to the interior and opposite, upon the...
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