The Mathematical Theory of the Steam Engine (Paperback)

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1875 Excerpt: ...1 n n21 2 r=--j i It n.: .rirn = y-- irn21, and therefore y = n-nJ i + ir r -; which is the first of the formulae employed. Again: the diameter of the coil at the first lift is 2 r; and when the corf is drawn up the distance y from the bottom of the pit, the engine having performed n strokes, nt expresses the thickness added to the coil, or the amount by which the radius r is increased; in other words, when the corf is at the distance y from the bottom, the diameter of the coil is 2 r + n t, which, of course, is the same as the diameter of the coil for the other corf, when this is at the distance d--y from the top. Hence, d--y--i irn2 t . 2-------=2 r + nt inn K;.d--y--iirn2t = 7rwr + 7rnst..y = d--$ ir n' t--i irri1 t--irwr = d--% ir n11--irnr; which is the second formula employed; and the third is half the sum of these two. Afourth formula isy = d + irrn. Note To The Table Of Hyperbolic Logarithms.--The common log. of any number multiplied by 2-80258505 gives the hyperbolic log.; and the hyperbolic log. multiplied by "48429448 gives the common log.--Editor. TABLE OF FBICTION OF GUDGEONS OE AXLE ENDS IN MOTION ON THEIB. BEABINGS. From the experiments of M. Morin.) Surfaces in Contact. Cast-iron axles in cast-iron bear-iiigs... Cast-iron axles in wrought-iron Cast-iron axles in lignum-vita; Wrought-iron axles f in cast-ironbearings... Iron axles in brass bearings... Iron axles in lignum-vita bear-i ings.... I Brass axles in brass f bearings.. Brass axles in castiron bearings Lignum-viUe axles f in ditto... Lignnm-vitse axles in lignum-vitse bearings... State of the Surface. greased with oil of olives, hog's lard, tallow, or soft gom... with the same and water coated with asphaltum greasy greasy and wetted, greased with oil ...