 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
 | Euclides - 1864 - 448 pages
...by the plane EVDX, the common sections EX, BD are parallel : (xi. 16.) for the same reason, beca-ise the two parallel planes GH, KL are cut by the plane...AE to EB, so is AX to XD: (vI. 2.) again, because XFis parallel lo AC, a side of the triangle ADC: as AX to XD, so is CF to FD : and it was proved that... | |
 | Robert Potts - 1865 - 528 pages
...parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parallel : (xi. 16.) for the same reason, because the two parallel planes...of the triangle ABD ; as AE to EB, so is AX to XD : (ri. 2.) again, because XF is parallel io AC, a side of the triangle ADC; as AX to XD, so is CF to... | |
 | Euclides - 1865 - 402 pages
...planes KL, MN are cut by the plane EBDX, therefore the common sections EX, BD are parallel ; (xi. 16.) for the same reason, because the two parallel planes GH, KL are cut by the plane AXFC, therefore the common sections AC, XF are parallel. And because EX is parallel to BD, a side of the... | |
 | John Playfair - Geometry - 1855 - 350 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...XF are parallel : And because EX is parallel to BD, aside of the triangle ABD, as AE to EB, so is ( 2. 6.) AX to XD. Again, because XF is parallel to AC,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parallel ; [XI. 16. and because the two parallel planes GH, KL are cut by...plane AXFC, the common sections AC, XF are parallel. [XI. 16. And, because EX is parallel to BD, a side of the triangle ABD, therefore AE is to EB as AX... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...plane EBDX, the common sections EX, BD are parallel ; [XI. 16. and because the two parallel planes Gtf, KL are cut by the plane AXFC, the common sections AC, XF are parallel. [XI. 16. And, because EX is parallel to BD, a side of tha triangle ABD, therefore AE is to EB as AX... | |
 | Robert Potts - 1868 - 434 pages
...sections EX, BD are parallel: (XI. 16.) for the same reason, because the two parallel planes GH, KL ara cut by the plane AXFC, the common sections AC, XF...because EX is parallel to BD, a side of the triangle ABJD ; as AE to EB, so is AX to XD: (vI. 2.) again, because XFis parallel to AC, a side of the triangle... | |
 | Euclides - 1874 - 342 pages
...and KL are cut by the plane XC ; therefore 2. The common sections AC and XF are parallel (XI. 16). And because EX is parallel to BD, a side of the triangle ABD; therefore 3. As AE to EB, so is AX to XD (VI. 2). Again, because XF is parallel to AC, a side of the... | |
 | Euclid - 1876 - 240 pages
...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...BD, a side of the triangle ABD ; as AE to EB, so is (a) XL 16. (6) VL 2. (c) V. 11. AX to XD (I) : again, because XF is parallel to AC, a side of the triangle... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parallel: (XI. 16.) for the same reason, because the two parallel planes...EX is parallel to BD, a side of the triangle ABD; asAEto EB, sohAX to XD : fvi. 2.) a"ain because XFis parallel to AC, a side of the triangle ADC: as... | |
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