 | Euclides - Geometry - 1841 - 378 pages
...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
 | Euclides - 1845 - 546 pages
...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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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... | |
 | Samuel Hunter Christie - 1847 - 172 pages
...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... | |
 | Euclides - 1855 - 230 pages
...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... | |
 | Eucleides - 1860 - 396 pages
...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... | |
 | 562 pages
...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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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... 
