The London, Edinburgh and Dublin philosophical magazine and journal of science . =cxy + cxy+ ) y, and ex x + ^ (xT) = ^ (>T£), J t. *. ^ (*T) = oc$ + 2 . xT + * 2 A (>T) + x y ^ (xT) and ~(xT)=-cxx + ijxT + xi,~^T) + f^(xT)^ These become (using the relation |=^1+,; A)- •T-*=#[*|;(«T)-*^(«T)-»]and « = _i[^(itT)_rf^(.T)-«r2 (10). Now let i/r be the angle between the tangent to the curveat P and OX, and Jet p be radius of curvature at P estimated as positive in the direction indicated. Then cc = cos ^r,y = sin yjr, sin -dr x = j- i P by the Red Corpuscles of the Blood. 669 Both

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The London, Edinburgh and Dublin philosophical magazine and journal of science . =cxy + cxy+ ) y, and ex x + ^ (xT) = ^ (>T£), J t. *. ^ (*T) = oc$ + 2 . xT + * 2 A (>T) + x y ^ (xT) and ~(xT)=-cxx + ijxT + xi,~^T) + f^(xT)^ These become (using the relation |=^1+,; A)- •T-*=#[*|;(«T)-*^(«T)-»]and « = _i[^(itT)_rf^(.T)-«r2 (10). Now let i/r be the angle between the tangent to the curveat P and OX, and Jet p be radius of curvature at P estimated as positive in the direction indicated. Then cc = cos ^r,y = sin yjr, sin -dr x = j- i P by the Red Corpuscles of the Blood. 669 Both equations (10) now reduce to ^=cos^(*T)-sin^|^T) + OT. (11) We are now in a position to estimate c. For if we assumedthat the thickness, 2y, is everywhere greater than the critical value at which T began to vary, then for such acondition T would be constant and the drop would take aspherical form, of radius r, say. Calling this constant valueof the surface-tension, T0, and noticing that in such acase p and yjr would have negative values, and thus /3= — r . x sin ylr= r |y(.,,T) = 0,

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Keywords: ., bookcentury1800, bookdecade1840, booksubjectscience, bookyear1840