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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 ... - Page 39
by John Playfair - 1819 - 317 pages
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 5

William Nicholson - 1809 - 716 pages
...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 ..., Volume 5

William Nicholson - Natural history - 1809 - 684 pages
...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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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. Prop. XXIX. Theor. If a straight line fall...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...exterior angle equal to the inte- »ti'm. rior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal...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 - 592 pages
...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 - Geometry - 1817 - 456 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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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821 - 408 pages
...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 CD, and E Fcut them in the points HG, then the angle AHG equals the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1058 pages
...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. ELEMENTS Or XUCL1D. i 77 Let the straight...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...angles towards the same parts equal to two right angles. Let the right line EF fall upon the two right lines AB, CD. The alternate angles AGH, GHD, are equal to one another, the exterior angle EGB towards the same parts, equal to the interior and opposite angle GHD. And the...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...angles towards the same parts equal to two right angles. Let the right line EF fall upon the two right lines AB, CD. The alternate angles AGH, GHD, are equal to one another, the exterior angle EGB towards the same parts, equal to the interior and opposite angle GHD. And the...
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