only able to find the fluxions of flowing or determinate quantities, that is, the velocities with which they arise or begin to be generated in the first moments of formation (called the velocities of the incremental parts), and the velocities in the last ratio's, as vanishing or ceasing to be; but from given fluxions to find the fluents; — and be ready in drawing tangents to curves; in the solution of problems de maximis & minimis, that is, the greatest or least possible quantity attainable in any case; in the invention of points of inflection and retrogression; in finding the evoluta of a given curve; in finding the caustic curves, by reflection and refraction, &c. &c. — this was amazing beyond any thing I had seen; or did ever see since, except Mrs. Benlow of Richmondshire, with whom I became acquainted in 1739. (See Memoirs of several Ladies of Great Britain, Vol. I.) With astonishment I beheld her. I was but a young beginner, or learner, in respect of her, though I had applied so close to fluxions (after I had learned algebra), that my head was often ready to split with pain; nor had I the capacity, at that time, to comprehend thoroughly the process of several operations she performed with beauty, simplicity, and charming elegance. Admirable Maria! No one have I ever seen that was her superior in this science: one equal only have I known, the lady a little before mentioned. And does not this demonstrate, that the faculties and imagination of women's minds, properly cultivated, may equal those of the greatest men?* And since women have the same improvable minds as the male part of the species, why should they not be cultivated by the same method? Why should reason be left to itself in one of the sexes, and be disciplined with so much care in the other. Learning and knowledge are perfections in us not as we are men, but as we are rational creatures, in which order of beings the female world is upon the same level with the male. We ought to consider in this particular, not what is the sex, but what is the species they belong to. And if women of fortune were so considered, and educated accordingly, I am sure the world would soon be the better for it. It would be so far from making them those ridiculous mortals Moliere has described under the character of learned ladies; that it would render them more agreeable and useful, and enable them by the acquisition of true sense and knowledge,