Pièce 142 - Letter from S. Jones

3 pp

Liverpool - Thanks WW for his letter and the 'frankness' with which he expressed himself over a problem SJ had sent to him over equations applied to a pulley: The 'inferences from which I deduced the absurdities were made without reflecting that the force, which sustains P, acts on the opposite side of the tangent plane on which P may be supposed to rest, and consequently has a tendency to increase the pressure'. SJ is aware that not only the demonstration of Taylor's theorem but also those of the Binomial are mainly considered defective. These objections 'are much like those which Geometers make to the doctrine of Parallel lines'- both objections get in the way of investigation.