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

Robert Simson - Trigonometry - 1775 - 534 pages
...E15DX, the common, feQions EX, BE I are parallel ".- For the fame reafon, becaufe the two Book xI. parallel planes GH, KL are cut by the plane AXFC, the common feftions AC\ XF are parallel : And becaufe EX is parallel to BD, a fide of the triangle ABD, as. AE...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...cut by the plane EBDX, the common fefiions EX; EX, BD, are parallel «. For the fame reafon, becaufe the two parallel planes GH, KL are cut by the plane AXFC, the common fections AC, XF are parallel : And becaufe EX is parallel to BD, a fide of the triangle ABD, as AE...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...the plane EBDX, the common feftions EX, BD, are 8i4. i. Sup. parallel a. For the fame reafon, becaufe the two parallel planes GH, KL are cut by the plane AXFC, the common feftions AC, XF are parallel : And becaufe EX is parallel to BD, a fide of the triangle ABD, as AE...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...are cut by the plane i.BDX, the common fe&ions EX5 BD are para!lei ». for the fame reafon, bccaufe the two parallel planes GH, KL are cut by the plane AXFC, the common fe£tions AC, XF are parallel. and becaufc EX is parallel to BD, a fide of the triangle ABD, as AE...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...plane EBDX, the common sections EX, BD are parallel». For the same reason, because the two Book XI. parallel planes GH, KL are cut by the plane AXFC, the common sections AC, XF are paral- „ lei: and because EX is parallel to BD, a side of the triangle ADD, as AE to EB so is b AX...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...parallel planes KL, MN are cut by the plane EBDX, the common sections EX, BD are parala!4.2.Sup. lela; and because the two parallel planes GH, KL are cut by the plane AXFC, the comnjon sections AC, XF are parallel. Because EX is parallel to BD, a side of the triangle ABD,AE :...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...XI. parallel planes GH, KL are cut by the plane AXFC, the common sections AC, XF are paral- G lei: and because EX is parallel to BD, a side of the triangle ABD, as AE to EB, so is b AX to XI). Again, because XF is parallel to AC, a side of the triangle ADC, as AX to XD, so is CF...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...KL, MN, are cut by the plane EBDX, the coinroon Y 7 1 c N\H N^ sections EX, BD arc parallel \ cause the two parallel planes GH, KL are cut by the plane AXFC, the common sections Q. AC, XF are parallel: And bemuse EX is parallel to BD, a side of the triangle ABD; as AE to EB, so...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...EBDX, the common o sections EX, BD are parallel *. cause the two parallel planes GH, KL are cut liy the plane AXFC, the common sections AC, XF are parallel : And because EX is parallel toBD, a side ol the triangle ABD ; as AE to EB, so is1* AX to XD. Again, Iwcause XF is parallel to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...parallel planes KL.MN'.arecutby the plane EBDX, the common sections £X, BD, are parallel (14. 2. Sup.). For the same reason, because the two parallel planes...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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