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" if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 26
por Euclid - 1835 - 513 páginas
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 454 páginas
...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) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819 - 740 páginas
...shall be parallefto one another. Prop. XXIX. Theor. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 páginas
...line, &,c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines makes 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 teo right angles ;...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...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 ..., Volumen9

William Nicholson - 1821 - 406 páginas
...or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...8tc. QED Proposition XXriII. Theorem. If a straight line falling upon two other straight lines makes 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 ¡...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1826 - 320 páginas
...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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Elements of Geometry: With Notes

John Radford Young - 1827 - 208 páginas
...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: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...straight line, &c. QED PROP. XXVIII. THEOR. If a straight line falling upon two other straight lines make the exterior angle equal to the interior and opposite upon the same s1de of the line / or make the interior angles upon the same side together equal to two right angles...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 páginas
...line falls upon two other straight Unes, so os to make the alternate angles equal to one another, or the exterior angle equal to the interior and opposite upon the same side, or the two interior angles upon the same side together equal to two right angles, those two straight...
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