FD. Join AC, BD, AD, and let AD meet the plane KL in the point X; and join EX, XF. Because the two parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parallel (Prop. An elementary course of mathematics - Page 18by Samuel Hunter Christie - 1847Full view - About this book
| John Playfair - 1819 - 354 pages
...parallel planes KL,MN are cut by the plane EBDX, the common sections EX, BD, are parallel (14. 2. Sup.). **For the same reason, because the two parallel planes GH, KL are cut by the** planeAXFC,the common sections AC, XF are parallel : And because EX is parallel to BD, a side of the... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...KL, MN are cut by the plane EBDX, the common sections • See ts'ote. EX, BD, are parallel (16. 11.). **For the same reason, because the two parallel planes GH, KL are cut by the plane AXFC, the** G comnionsections AC, XF, are parallel: and because EX is parallel to BD, a side of the triangle ABD,... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...sections EX, BD are parallel. (16. il.) For the same reason, because the two parallel planes GH, EL **are cut by the plane AXFC, the common sections AC,...BD, a side of the triangle ABD, as AE to EB, so is** (~>. 6.) AX to XD. Again, because XF is parallel to AC, a side of the triangle ADC, as AX to XD, so... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...two parallel planes KL, MN, are cut by the plane EBDX, the common sections EX, BD are * parallel : **for the same reason^ because the two parallel planes...the triangle ABD ; as AE to EB, so is * AX to XD:** again, because XF is parallel to AC, a side of the triangle ADC; as AX toXD, so isCF to FD: G •16... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...planes KL, MN are cut by the plane EBDX, the common sections Sec Note. EX, BD, are parallel (16. 11.). **the two parallel planes GH, KL are cut by the plane...BD, a side of the triangle ABD, as AE to EB, so is** (2. 6.) AX to XD. Again, because XF is parallel to AC, a side of the triangle ABC, as AX to XD, so... | |
| John Playfair - Geometry - 1829 - 210 pages
...EBDX, the common sections EX, BD are parallel (11. 1 1 ); and because the parallel planes GH,KLare **cut by the plane AXFC, the common sections AC, XF are parallel.** Because the line EX is parallel to BD, a side of the triangle ABD, AE : EB : : AX : XD (2. 6); and... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...the plane EBDX, the common sections EX, BD, are parallel (14. 2. / Sup.). Forthe same reason, becausa **"the two parallel planes GH, KL are cut by the plane...sections AC, XF are parallel: And because EX is parallel** toBD, aside of the triangle ABD,as AE to EB, K/ so is (2. 6.) AX to XD. Again, because XF is parallel... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...sections EX, BD, are parallel (14. 2. Sup.). For the same reason, because the two parallel planes GET, **KL are cut by the plane AXFC, the common sections...BD, a side of the triangle ABD, as AE to EB, so is** (2. 6.) AX to XD. Again, because XF is parallel AC, a side of the triangle ADC, as AX to XD, so is... | |
| Euclides - 1834 - 518 pages
...parallel planes KL, MN are cut by the plane EBDX, the com•16. ll. mon sections EX, BD are* parallel: **for the same reason, because the two parallel planes GH, KL are cut by the plane** 4XFC, the common sections AC, XF are parallel : and because EX is parallel to BD, BOOK. xI. PROP. xviir.... | |
| Euclid - 1835 - 540 pages
...the two parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parallel a. **For the same reason, because the two parallel planes...to BD, a side of the triangle ABD, as AE to EB, so** ist> AX to XD. Again, because XF is parallel to AC, a side of the triangle ADC, as AX to XD, so is... | |
| |