| Euclides - 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 - 544 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 - 380 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... | |
| John Playfair - Euclid's Elements - 1846 - 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... | |
| 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
...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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