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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 ... - Pàgina 210
per John Keill - 1723 - 364 pàgines
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pàgines
...BG, CE, are cut by the plane AC, their common sections AB, CD,* are * 16- H. parallel: and 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; * 16. 11. therefore AC is a parallelogram. In like...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 pàgines
...CE, are cut by the plane AC, 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pàgines
...BG, CE are cut by the plane AC, their common sections AB, CD are parallel: (xi. 16.) again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel: (xi. 16.) and AB is parallel to CD; therefore AC is a parallelogram. In like manner...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 pàgines
...BG, 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 a:e parallel; therefore AC is a parallelogram. In like manner, it may...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pàgines
...CE, are cut by the plane AC, 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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An elementary course of mathematics, Volum 2

Samuel Hunter Christie - 1847 - 172 pàgines
...CE, are cut by the plane AC, their common sections AB, CD, are parallel (Prop. 27) : again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel (Prop. 27): and AB is parallel to CD; therefore AC is a parallelogram. In like...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 230 pàgines
...planes BG, CE are cut by the plane AC, their common sections AB, CD are parallel (a): 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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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pàgines
...planes BG, CE are cut by the plane AC, their common sections AB, CD are parallel (a) : 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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The Thirteen Books of Euclid's Elements

562 pàgines
...plane AC, their common sections are parallel. [xi. 16] Therefore AB is parallel to DC. Again, since the two parallel planes BF, AE are cut by the plane AC, their common sections are parallel. [xi. 16] Therefore BC is parallel to AD. But AB was also proved parallel to DC ; therefore AC is a....
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