. Machinery and processes of the industrial arts, and apparatus of the exact sciences. a c Fig. 145. Fig. 146. The theory of this instrument therefore supposes that every planefigure submitted to measurement is made up of infinitely small eircu- THEORY OF THE AMSLER PLANIMETER. 625 W -4 / M.—.J, X lar sectors, or of the differences of such sectors, precisely as Oppi-koffers planirneter supposes the resolution of the same surfaces intominute rectangles. In Fig. 145, on page 624, if we can measure thewhole sector 0 A E, in sweeping directly from A toE, and then, returning along E E, E D, D D,D C
. Machinery and processes of the industrial arts, and apparatus of the exact sciences. a c Fig. 145. Fig. 146. The theory of this instrument therefore supposes that every planefigure submitted to measurement is made up of infinitely small eircu- THEORY OF THE AMSLER PLANIMETER. 625 W -4 / M.—.J, X lar sectors, or of the differences of such sectors, precisely as Oppi-koffers planirneter supposes the resolution of the same surfaces intominute rectangles. In Fig. 145, on page 624, if we can measure thewhole sector 0 A E, in sweeping directly from A toE, and then, returning along E E, E D, D D,D C, C C, C B, B B, B A, and so to Aagain, can measure the several sectors 0 E D, 0T> C, C C B, and C B A, these areas being sub-tracted from the former by the instrument itself in ^the contrary movement, there will evidently remainthe irregular area AEED D 0/ C B B 146 shows the extension of the principle to rec-tilinear figures, and this may be compared withFig. 142 of Oppikoffers planirneter. It is evident that, in the various movements of ^the instrument, the roller mu
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