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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 - Σελίδα 18
των Samuel Hunter Christie - 1847
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...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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...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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...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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...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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...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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...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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...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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...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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...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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...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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