Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 398
initely, at the same time that Ax==0 and Ai/ = 0.It may be proved that the limit is independent of the mannerin which the tangent planes are drawn, or of the way hi whichthe small areas are made to approach zero. If AA denotes the area of one of these parallelograms in atangent plane, and 7 denotes… … 8S2 M U LTIPLE IN TEGltALS since the projection of A.i on the plane XOY is A.rAv/. Thedirection cosines of the normal are, by (9), § 168, proportional dz dz to dx c// 1; hence cos 7: 1 n^ar and hence and a-=^+(IJ+(SJa^ <2>x—xx^RSFM^ & According to the definition, to find A we must take…
Geometry, Analytic · Calculus
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