The London, Edinburgh and Dublin philosophical magazine and journal of science . being in practice always we omit the third term, as Rankine does in caseswhere the data are not very accurate, we have, for twovapours £= -£ t a t1 whence t t b<rP = *-? = *-£, (4) indicating that the line X Y passes through the fixed point x= :j3 /3 ^? V Ramsay and Youngs law is thus deducible from Rankinesshortened formula. Treating Rankines full formula in the same way, we get 0+7/* P + y/t —t r~ = -* showing that the ultimate intersection of two consecutivepositions of X Y is ,_fi±# ,—£±^. ... (
The London, Edinburgh and Dublin philosophical magazine and journal of science . being in practice always we omit the third term, as Rankine does in caseswhere the data are not very accurate, we have, for twovapours £= -£ t a t1 whence t t b<rP = *-? = *-£, (4) indicating that the line X Y passes through the fixed point x= :j3 /3 ^? V Ramsay and Youngs law is thus deducible from Rankinesshortened formula. Treating Rankines full formula in the same way, we get 0+7/* P + y/t —t r~ = -* showing that the ultimate intersection of two consecutivepositions of X Y is ,_fi±# ,—£±^. ... (5) As t and t increase, the absolute magnitudes of x and ydiminish. Instead of strictly meeting in a point P. as infig. 1, the lines X Y will accordingly touch a curve with itsconcavity turned away from the origin, like the dotted curvePPPinfig. 2 (p. 338). 338 K. Honda and S. Shimizu on Change of Length of The fact that Ramsay and Youngs formula is deduciblefrom Rankines shortened formula is indicated by Ayrtonand Perry in a paper to the Physical Society*, in which. the accuracy of Rankines complete formula is stronglyinsisted on. 11 Leopold Road, Ealing, W. XXXVII. Change of Length of Ferromagnetic Wires underConstant Tension by Magnetization. By K. Honda, Riga-kushi, and S. Shimizu, Rigakushif, 1. T~N his earliest systematic experiments on the change ofJL length by magnetization of iron and steel rods,Joule t noticed that the effect of tension is to diminish theelongation, and that if the tension exceeds a certain limitthe magnetization causes contraction instead of the same experiment, S. Bidwell§ made specialinvestigation on this point, and confirmed Joules iron he examined nickel wire; the magnetic contrac-tion of the wire is decreased by tension in weak fields, but itis increased in strong. These changes also increase with * Phil. Mag. [5]xxi. p. 255; Proc. Pkys. Soc. vii. p. 372 (1886).f Communicated by Prof. Jou
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