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" 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 18
by Samuel Hunter Christie - 1847
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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