Mechanical and marine engineering science ... Specially written as a handbook to the Board of Trade examinations for extra-first-class engineers (1909)
Somerscales, A. N · Glasgow : J. Munro; London, Simpkin, Marshall, Hamilton, Kent · leaf 345
ote 2.—The calculus enables us to find very readily the limittowards which the ratio of the two co-efficients tends when the«xpansion becomes indefinitely small, as follows:— In the language of the calculus the linear co-efficient ofexpansion is r differential of (a) ■<•\ « and the co-efficient… … To prove that the centre of gravity of a triangle is at one-third the height of thetriangle from the base. ist proof—geometrical—ABCis a triangle, figure 124. Take themiddle point of AC, and join Bx.It is evident that the triangle wouldbalance upon the line Bx, for if wesuppose the triangle built…
Naval architecture
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