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An introductory account of certain modern ideas and methods in plane analytical geometry (1894)

Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 33

An illustration from An introductory account of certain modern ideas and methods in plane analytical geometry, 1894, leaf 33
t OM be the distance from 0, the given point a, (3, y,to the given line p, q, r, this given line making with CBthe angle 6. Draw from A, 0, lines parallel and perpen-dicular to BC, meeting in E, and join OB (Fig. 8). Thenwe have (indicating signs of magnitudes by signs prefixed,and not l)y the… … From the tliree expressions liere found for OM we obtain p- OM =-OE. cos e+AE. sin 0, q - OM = OD. cos e + Bl). sin 0, V - 0M= OD. cos 0 + CD. sin 6; whence;, multiplying by da, bjS, cy, and adding, ((dp -{- hft<j -f cyr — OM(aa + h^-\- cy) = cos e{ - OE. aa + OD. hft + OD. cy)+ sin 0( A E. rta…

Geometry, Analytic -- Plane

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