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" ... the same side together equal to two right angles ; the two straight lines shall be parallel to one another. "
Euclid's Elements of Geometry - Page 76
edited by - 1893 - 504 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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 upon the two straight lines...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Plane - 1809 - 493 pages
...will make the alternate 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,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...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 upon two parallel straight...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Logic - 1814 - 582 pages
...for example, that ** if " one straight line falls on two other straight lines, so as to make " the two interior angles on the same side together equal to two " right angles, these two straight lines, though indefinitely pro" duced, will never meet ;"— is not the boundless...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...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 the two E straight lines...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 454 pages
...will make the alternate 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 pages
...equal to the interior and opposite upon the same side of the line; or makes the imerior 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, which falls upon the two straight lines AB, CD, make the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...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 line EF, which falls upon...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...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 : the two straight lines shall be parallel to one another. Let the straight line EF, which falls upon the two straight lines,...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 208 pages
...will make the alternate 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...
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