Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 223
ns of t which are con-tinuous and possess derivatives ofat least the first two orders. Weshall also assume that the ratios ofthe four functions/4(£) are not in-dependent of t. The equations thendefine a one-dimensional extent ofplanes. Let v be the coordinatesof a plane p (Fig. 53) obtained… … Fig. 53 POINT AND PLANE COOKDINATES 211 As At approaches zero the line m approaches a limiting line I,of which the equations are pui=v, + ^dvt=.ft(t1)+\ft(t^. (2) This line is called a characteristic of the extent defined by (1).It is evident that in any plane of the extent for which the four…
Geometry, Analytic
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