Experimental engineering and manual for testing. For engineers and for students in engineering laboratories (1906)
Carpenter, Rolla C. (Rolla Clinton), 1852-1919 · New York, J. Wiley & Sons; [etc., etc.] · leaf 65
et dA = the area sought. Let dd = FEt.Then area /?£/ = £rW0, and area F£/ = \rndd. Then dA^FEt-Ff,Etf = ^-^)de. . . . (2> From the oblique triangle Zj/F, r* = »23 + /* + 2mlcosB • (3) 36 EXPERIMENTAL ENGINEERING. [§ 27. From the right triangle EDFn, rri zzztn + S -\-2nl. ........ (4)Substituting… … Fig. 10.—Polar Planimeter. record, we see that dA = ldR\ , . . . . . . (6) or by integration between limits o and R, since / is a constant, A=IR (7) This shows that the area is equal, to the length of armfrom pivot to the tracing-point, multipliea by the space registered § 28.] APPARA TUS. 37 on…
Building materials · Machinery
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