The book A Treatise On the Stability of Ships was written by author Reed, Edward J. (Edward James), Sir, 1830-1906 Here you can read free online of A Treatise On the Stability of Ships book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A Treatise On the Stability of Ships a good or bad book?
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As the inquiry is ahnost whoDy a geometrical exercise, and as the pro- position to be demonstrated admits of readier proof, it is unnecessary to reproduce the investigation here. The next section of the MSmoire has to do with lines and radii of curvature of the sur£a.ce of flotation. He first lays down the preliminary theorem, that, of all the tangent planes of a surface which make the same infinitely small angle with the tangent plane at a given point, the plane which lies most distant from th...at point appertains to the line of least curvature, and the plane which lies nearest belongs to the line of greatest curvature, observing in a foot-note that, if we suppose these two lines of curvature to revolve about the normal to the surface, at the given point, of the two lines of least and greatest curvature, the former will envelope all the surface about the point, and the latter will be constantly enveloped by it Dupin goes on to illustrate the principle by reference to sections of curvature of bodies of cylindrical form, and proceeds to show generally for infinitesimal angles and for irregular bodies (that which bo had previously shown for finite angles of inclination, viz.), that (unless of cylindrical or other like section), a floating body, when inclined from a position of equilibrium, has usually to seek a new plane of flotation, separated from the former by a small interval, in order to equalise the wedges of immersion and emersion.
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