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Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)

Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 326

An illustration from Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes, 1881, leaf 326
e,draw the st. line EHF from E to F. Then the two st. lines EGF, EHF enclose a space,which is impossible. I. Post. 5. .. the St. line joining E and F cannot be out of the plane,in which the parallels AB. CD are. .•. it is in that plane. Q. £. u. Note.—\Ve have proved this Proposition as Cor. iv.… … Let AB, CD be tvro II st. lines, and let one of them, AB, be±to a plane. The7i must CD be X to the same plane. Let AB, CD meet the plane in the pts. JB, D; and join BD;then AB, BD, CD are all in one plane. XL 7. In the plane, to which AB is ± , draw DE1. to BD, make DE=AB, and join BE, AE, AD.Then…

Geometry · Geometry, Plane

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