Si quælibet duæ quantitates bisecentur inæqualiter; quæ fiunt ex quatuor producta e singulis partibus unius in singulas partes alterius, aequantur producto quod fit a totis in se ductis.

Hujus lemmatis non est e longinquo accersenda demonstratio cum sit proposito idem cum primo secundi Euclidis quamvis generalius enunciata, ad omnes species quantitatis comprehendas, et quasi reciproca ejusdem repetitio... ..αгєλ.

II. The Autobiography of Sir Samuel Morland, in a letter addressed to Archbishop Tenison, From the original manuscript preserved in the library at Lambeth Palace.

Sir,—I am not ignorant of the various reports of the excessive prodigalities and other sins of my youthful daies, that have now for a long time been spread abroad by the credulous and censorious world; especially since it has pleased Almighty God of late years, to visit mee with manifold crosses and afflictions which have kept almost as exact time and measure as formerly did Job's messengers. And farr be it from mee to ace the pharise's part, or plead my innocence, in any other terms.

However I have thought it necessary, (being sensible of my mortality, and knowing well that I address myself to a true Nathaniel, in whom there is no guile!) to make you my confessor, and to give you an abbreviat of the history of some part and passages of my life, being willing to carry the rest into the grave with mee, by reason of the circumstances of the age wee live in, there to bee buried in oblivion.

Having received my education in Winchester Colledg, I was removed to the University of Cambridg, where having spent nine or ten years, I was sollicited by some freinds to take upon mee the ministry, for which, fearing I was not fitly qualified, I betook myself to the study of the mathematicks. Soon after, an occasion presenting itself, I accompanied an ambassador, (among several other gentlemen) sent by the protector to the queen of Sweden. At my return, I was recommended to Secretary Thurlo for an assistant, and in a few months time after, sent by Cromwell as an envoy to the duke of Savoy in behalf of the protestants of the valleys of Piedmont. And from thence to Geneva, as his resident, to manage the affayrs of those poor people together with other forraign ministers, as likewise to transmitt the moneys collected in England for their