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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 First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 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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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...angles equal to one another; and the exterior angle equal to the interior and opposite upon the »ame side : and likewise the two interior angles upon the same side together equal to two right angles. Prop. XXX. Theor. Straight lines which are parallel to ihc same straight line, are parallel to one...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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 A to the interior and opposite GHD;, and the two interior' angles BGH,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...side ; and likewise the to'o interior angles upon the same side together equal to two right angle?. Let the straight line EF fall upon the parallel straight lines AB, €D ; the alternate angles AGH, GHD are equal to one another ; and the exterior angle EGB is equal...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821 - 406 pages
...alternate angles 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 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 - 1046 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 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 are parallel to one another. Let the straight line EF, whieh falls upon the...
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