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" CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Page 210
by Euclid, John Keill - 1723 - 364 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...cut by the plane 16. 11. AC, their common sections AB, CD are parallel *. Again,, because the Jwo parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel * : and AB is parallel to CD ; therefore AC is a parallelogram. In like manner,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...BG, CE, are cut by the 3 16.11. plane AC, their common sections AB, CD, are parallel*. Again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel a : And AB is parallel to CD; therefore AC is a parallelogram. In like manner,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 pages
...the plane ACr \ \ | E1 D \ \ their common sections AB, CD are parallel (14. 2. Sup.). Again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel (14. 2. Sup.) : and AB is parallel to CD ; therefore AC is a parallelogram. In...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...CE, are cut by the plane AC, their common sections AB, CD*, are * ts. 11. parallel : again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC* are parallel: and AB is parallel to CD; I6.1t. therefore AC is a parallelogram. In like...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...planes BG, CE are cut by the plane AC, their common sections AB, CD are parallel (11. 11); and because the two parallel planes BF, AE are cut by the plane AC, their common sec- A tions AD, BC are parallel. Hence AC is a parallelogram. In like manner it may be proved that...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...BG, CE are cut by the plane AC, their common sections AB, CL) are parallel (16. 11.). Again, because the two parallel planes BF, AE are cut by the plane AC, their common section AD, BC are parallel (16. 11.); and AB is parallel to CD; therefore AC is a parallelogram. In...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...planes BG, CE, are cut by the plane AC, their common sections AB, CD are parallel ". Again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel '. And AB is parallel to CD ; therefore AC is a parallelogram. In like manner,...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 164 pages
...BG, CE, are cut by the plane AC, their common sections AB, CD, are parallel (1. 14). Again, because the two parallel planes BF, AE, are cut by the plane AC, their common sections AD, BC, are parallel ; and AB is parallel to CD ; B therefore AC is a parallelogram. In like l\ manner,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...CE are cut by the plane AC, their common sections AB, CD are (XI. 16.) parallel. Also, because the parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel : and AB, CD are parallel; therefore AC is a parallelogram. In like manner, it...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...BG, CE are cut by the plane AC, their common sections AB, CD are parallel (16. 11.). Again, because the two parallel planes BF, AE are cut by the plane AC, their common section AD, BC are parallel (16. 11.) ; and AB is parallel to CD; therefore AC is a parallelogram....
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