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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 323

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 323
EG, FEB, , GE=HF, and iJi^ is common, and FG=FHf .:iFEG= iFEB. I.e. ,/. EF^ 1. to Gfi.In like manner it may be shown that EF is ± to every st.line which meets it iu tne plane passing through AB, CD.,\ EFis, 1. to the plane, in which AB, CD are, XL Def. 2. Q, Z. D, ;i6 EUCLIDS ELEMENTS. [Book XL… … Let the st. line AB be ± to each of the st. lines BC, BD,BE, at B, the pt. where they meet. Tlien must BC, BD, BE he in one ana the same plane. If not, let BD, BE be in one plane, and BC without it, andlet a plane, passing through AB, BC, cut the plane, in whichBD and BE are, in the st. line BF. XL…

Geometry · Geometry, Plane

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