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minated in his death, obliged him to discontinue the impression; that, a few days before his demise, he entrusted the manuscript, fairly transcribed by an amanuensis, to the care of Lord Macclesfield, who promised to publish it, as well for the honour of the author, as for the benefit of the family, to whom the property of the work belonged. The Earl survived his friend many years; but The Introduction to the Mathematics (the alleged title of the work) was forgotten, and, after his death, the manuscript was not to be found. There is no evidence in the memoranda left by Sir William Jones, to confirm or disprove these assertions. Such of the mathematical works of Mr. Jones as have been published, are much · admired for neatness, brevity, and accuracy *

"The

* In Hutton's Philosophical Dictionary, we have the following enu. meration of the works of Mr. Jones:

A New Compendium of the whole Art of Navigation, small 8vo. 1702.

Synopsis Palmariorum Matheseos; or a new Introduction to the Mathematics, containing the principles of arithmetic and geometry, demonstrated in a short and easy method; 8vo. 1706.

In the Philosophical Transactions :

A Compendious Disposition of Equations for exhibiting the Rela.. tions of Geometrical Lines.

A Tract of Logarithms.

Account of a Person killed by Lightning in Tottenham-court Chapel, and its Effects on the Building.

Properties of Conic Sections, deduced by a compendious method.

He was also the editor of some mathematical works of Sir Isaac · Newton, under the title of “ Analysis, per quantitatum series, fluxiones, ac differentias : cum cnumeratione linearum tertii ordinis.”

The care of the education of William now devolved upon his mother, who, in many respects, was eminently qualified for the task. Her cha

racter,

In the library of Trinity-College, Cambridge, some letters from Mr. Jones to Mr. Cotes, who was at that time engaged in giving lectures at the College, are preserved. They do not contain any material information : but having, with the permission of the College, obtained copies of them, by the polite assistance of Mr. Brown, I annex them to this note, together with one from Mr. Cotes to Mr. Jones,

Letter from Mr. Jones to Mr. Cotes,

SIR;

. London, September 17, 171). The paper concerning Sir Isaac Newton's method of interpolation, which you have been pleased to send me, being done so very neat, that it will be an injury to the curious in these things to be kept any longer without it; therefore must desire that you would grant me leave to publish it in the Philosophical Transactions. You may be assured that I do not move this to you without Sir Isaac's approbation, who I find is no less willing to have it done. The new edition of the Principia is what we wait for with great impatience, though at the same time I believe the book will be far more valuable than if it had been done in a hurry, since I find the interruptions are necessary, and such as will render it complete. We have nothing considerable in hand here at present, only Mr. Demoire's Treatise on Chances, which makes a whole transaction. Ile is very fond of it, and we may expect it well done. Mr. Raphson has printed off four or five sheets of his history of Fluxions, but being shewed Sir Isaac Newton's (who it seenis: would rather have them write against him, than have a piece done in that manner, in his favour) he got a stop put to it, for some tiine at least. Dr. Halley has almost finished the printing of the Greenwich Observations, which will be a work of good use, especially as it is now freed from the trifles it was loaded with. Sir, I have one thing which I would trouble you with further, and that is, to let me know what lectures, or other papers of Sir Laac Newton's, remain in your University unpublished. This may be done at your leisure. It would be a great satisfaction to me, if I could be any way serviceable

to

racter, as delineated by her husband with some what of mathematical precision, is this : “ that " she was virtuous without blemish, generous

66 without

to you here at London ; and should readily embrace any opportunity to approve and express inyself, what I am exceedingly obliged to be,

Your most affectionate friend,

And faithful servant,

William Jones,

From the Same to the SAME.
SIR;

London, Oct. 25, 1711. The favour of your account of Sir Isaac's papers left at · Cambridge, I return you my hearty thanks for ; and, as you have some further considerations about the Doctrine of Differences, I am assured that they cannot but be valuable ; and if a few instances of the application were given, perhaps it would not be amiss. Having tarried some time for a convenient opportunity, I was obliged to send you at last Moreton's book by the carrier, though it will only satisfy you that Dr. Gregory had but a very slender notion of the design, extent, and use of lib. 3d of the Principia. I hope it will not be long before you find leisure to send me what you have further done on this curious subject. No excuse must be inade against the publishing of them, since, with respect to reputation, I dare say it will be no way to your disadvantage. I have nothing of news to send you, only the Germans and French have in a violent manner attacked the philosophy of Sir Isaac Newton, and seem resolved to stand by Des Cartes. Mr. Keil, as a person concerned, has undertaken to defend and answer some things, as Dr. Friend and Dr. Mead do in their way, the rest. I would have sent you the whole controversy, was I not sure that you know those only are most capable of objecting against his writings, that least understand them. However, in a little time, you will see some of them in the Philosophical Transactions.

I am, Sir,
Very much your friend and servant,

WILLIAM JONES.

ANSWER

“ without extravagance, frugal but not niggard, “ cheerful but not giddy, close but not sullen, “ ingenious but not conceited, of spirit but not

“ passionate,

Answer to the foregoing, by Mr. Cotes.
DEAR SIR;

I have received Moreton's' book. I thank you for the favour you did me in sending it. I have looked over what relates to his way of interpolation; but I find no cause from thence to make any alteration. The controversy concerning Sir Isaac's philosophy is a piece of news that I had not heard of. I think that philosophy needs no defence, especially when attacked by Cartesians. One Mr. Green, a fellow of Clare-Hall, seems to have nearly the same design with those Gerinan and French objectants, whom you mention. His book is now in our press, and almost finished I am told; he will add an Appendix, in which he undertakes also to square the circle. I need pot recommend his performance any further to you. .

I am, Sir, your obliged friend,
and humble servant,

R. C.
From Mr. Jones to Mr. Cores.

DEAR SIR;

London, Jan. 11, 1711-12. I have sent you here inclosed the copy of a letter, that I found among Mr. Collins's papers, from Sir Isaac Newton to one Mr. Smith. The contents thereof seem in a great measure to have relation to what you are about, as being the application of the Doctrine of Differences to the making of tables; and for that reason I thought it might be of use to you, so far as to see what has been done already. I shewed this to Sir Isaac: he remembers that he applied it to all sorts of tables. I have more papers of Mr. Mercator's, and others, upon this subject; though I think none so material to your purpose as this. I should be very glad to see what you have done upon this subject all published; and I must confess, that unless you design a large volume, it were much better to put them into the Philosophical Transactions, for that would sufficiently preserve then from being lost, which is the common fate of small single tracts, and at the same time, to save the trouble and expense of printing them, since the subject is too curious to

“passionate, of her company cautious, in her “ friendship trusty, to her parents dutiful, and " to her husband ever faithful, loving, and obe

“ dient.”

expect any profit froin it; and besides now, as the Royal Society baving done themselves the honour of choosing you a member, something from you cannot but be acceptable to them. Sir Isaac himself expects these things of you, that I formerly mentioned to him as your promise.

I am, Sir, your much obliged friend,
; and humble servant,

WILLIAM JONES.

From Mr. Jones to Mr. Cotes. Sir;

London, Feb. 6, 1712-13. The Royal Society having ordered one of their books for you, and another for Mr. Saunderson, also one for Trinity-College library, and one for the University library ; I would not - lose the opportunity of paying you my respects, by sending them. I need not tell you the occasion and design of that collection. You will see readily, that it affords such light concerning what it relates to, as could not easily have been discovered any other way; it also shews, that your great predecessor, whose illustrious example I don't doubt but you follow, never employed his time about things ordinary. I have no mathematical intelligence to send you. Mr. Keil thinks he has discovered a very easy and practical solution of the Keplerean problem. If Moreton's book is of no use to you, please to send it to me, though I fear it will yield me but snall assistance, having occasion for variety of modern solstitial meridian altitudes of the Sun, such as may be depended upon. Helvetius, Flamstead, and the French observations, seem defective. I should be glad to be inforıned where I can be surplied best. I am extremely pleased to find that Sir Isaac's book is so near being finished; and it is not less agreeable to me to hear, that your own book is in such forwardness. You are much in the right of it to print your lectures and other papers, in a book by itself: it is better than to have them lie up and down among other things. What I formerly proposed as to the putting of things in the Philosophical Transactions, is only fit for a sheet or two, but not exceeding that.

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