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 330
HYPERBOLIC LOGARITHMS. 327 The rectangular hyperbola, figure 121, is a curve symmetricalwith respect to two lines at right angles, called assumptotes, ^OX and OY. The curve, when produced, continually approachesthe assumptotes but never meets them. A property of the curve is that if any point P is… … Fig. 121. It is owing to this property, of course, that the expansioncurve of an indicator diagram is an approximate hyperbola. Now, where hyperbolic logarithms come in is in calculating-the area of a portion of the figure such as P Pj a-^ a. Let the ratio of 0«, to Oa be r or y^ = r. Oa Then it…
Naval architecture
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