Maurer, Edward R. (Edward Rose), b. 1869 · New York : John Wiley & sons, inc.; [etc., etc.] · leaf 107
find thatx= ^r. § 2. Surfaces and Solids of Revolution. — For surfaces, we use formula(2) and select as element the surface described by an elementary part of the 96 Chap, v generating curve MN (Fig, 172). Let the x axis be taken coincident with theaxis of revolution; then the area described by a… … ITT I yds- X, or :*; = —r- j xyds. Fig. 172 Fig. 173 The limits of integration must be assignedso that each product xy ds will be in-cluded in the integration. For solids, we use formula (3), andtake as element that volume generatedby an elementary part of the generatingplane MPN (Fig. 173) which…
Mechanics
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