Mr Ne SrSir MI. Newton in his Letter of 24 Octob. 1676 wrote that he had two methods of resolving Invers Problemes of tangents & such like difficult ones, one of wchwhich methods consisted in assuming a Series for any unknown quantity from wchwhich the other unknown quantities might easily be conveniently be deduced & in the collection of the homologous terms of the resulting equation, for determining the terms of the assumed series. Mr Leibnitz has some years after published this method as his own claiming to himself the first invention thereof. If remains that he either renounce this claim publickly & acknowledg that MSr I. Newton was the first Innovator or prove that he invented it before 24 Octob. 1676 SrSir MI. Newton wrote the said Letter.

SrSir I. Newton in his said Letter of 24 Octob. 1676 used introduced into Analysis the use of fract surd & indefinite indices of dignities & in his letter of 24 Octob 1676 proposed represented to Mr Leibnitz that use Problem of resolving his methods extended to the resolution of affected æquations involving dignitesies whose indices were fract or surd. Mr Leibnitz in his answer dated 21 June 1677 de mutually desired Mr newton to tell him what he thought of the resolution of æquations involving æquation dignities whose indices were surd indetermined quantities as Mr Newton calls fluents, such as are as in the manner of the following examples such as were the æquations ${\mathrm{x}}^{\mathrm{y}}+{\mathrm{y}}^{\mathrm{x}}=\mathrm{x}\mathrm{y}$ & ${\mathrm{x}}^{\mathrm{x}}+{\mathrm{y}}^{\mathrm{y}}=\mathrm{x}+\mathrm{y}$. And these æquations he calls exponential, & has represented to