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An elementary treatise on solid geometry (1886)

Aldis, W. Steadman (William Steadman), 1839-1928 · Cambridge [Eng.] Deighton, Bell, and co.; London, G. Bell and sons · leaf 67

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are superfluous, and otherformulae have been proposed which employ only three con-stants. Let Ox, Oy, Oz be the old axes; Ox!, Oy, Oz the newones. Let the plane of xy cut the plane of xy in Ox^, andlet a plane through Oz and Oz, which is therefore by Euclid,XI. 18, perpendicular to the planes of xy… … plane of xy, it also is perpendicularto Ox^. Hence Ox^ isperpendicular to the lines Oz and Oz\ and is therefore per-pendicular to the plane in which they lie, and thereforeperpendicular to Oy^, Oy^. Hence by Euclid, xi. Def. 6, theangle yfiy^ is the angle between the planes of xy and xy.Let this…

Geometry, Analytic -- Solid · Geometry, Differential

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