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printing at Amfterdam, and will be published in a very little time. The author of it, Mr. Caftillon, F. R. S. is profeffor of mathematics in the univerfity of Utrecht, and well known in the learned world.

I am, with the greatest regard,

Your most obedient and humble fervant,

C. S.

Whitehall, June 25, 1762.

Profpectus nova Editionis Arithmetica univerfalis Newtoni. Ova editio arithmeticæ univerfalis a magno Newtono confcriptæ, quam concinnat Marcus Michael Rey, bibliopola Amftelodamenfis, complectitur.


Im, Opus ipfum Newtoni Latinum, quale poftremis curis edidit auctor, nitide et emendate typis defcriptum. Cum exemplaria Latina venalia nufquam reperiantur, dum reliqua Newtoni opera ubique proftant; gratiffima doctis erit hæc nova editio, quæ omnium operum Newtoni collectionem complet.

Ildo, Commentarium perpetuum in arithmeticam univerfalem, in quo omnia theoremata, ab auctore tradita fine demonftratione, accurate demonftrantur; rationes, quas Newtonus brevitatis caufa omifit, in tironum gratiam fubducuntur; problemata geometrica conftruuntur, et geometricarum conftructionum fontes aperiuntur; nonnulla problemata geometrice folvuntur more veterum; nonnulla enarrantur nova quæ pertinent ad naturam problematum, æquationum, et radicum.

IIItio, Additamentum conftans ex iis fcriptis quæ celeberrimus Gravefande adjunxerat editioni fuæ, et ex differtationibus vel editis, fed raris, vel etiam adhuc ineditis, virorum celeberrimorum Nicolai et Danielis Bernoulli, Baermanni, Kaefneri, Bofcovich, et aliorum. Omnes he differtationes vel Newtoni doctrinam illuftrant, vel algebram promovent.

Quibus de caufis fperat editor fore ut omnes gecmetræ labores fuos probent; cum præfertim opus ipfum fit magni faciendum, et a maximis geometris laudatum et commendatum ; et cum in commentariis non pauca legantur quæ geometriam et algebram illuftrant, et que fruftra quærerentur apud celeberrimum Colin Maclaurin aliofque qui Newtoni arithmeticam univerfalem explicandam fufceperunt. Hi enim omnes data occafione, et aliud agentes, hujus libri partes aliquas explanarunt, nemo, quod fciam, totum dedita opera explicandum fufcepit.


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For JUNE, 1762, continued.


Art. 1. The Young Gauger's beft Inftructor: Being a new and complete Syftem of Gauging, in all its Varieties, both Theory and Practice. Exhibiting, 1. Decimal Arithmetic. 2. The Extraction of the Square and Cube Roots. 3. The Calculations of all Kinds of Multipliers, Divifors, and Gauge Points. 4. The Methods of finding the Areas and Contents, of all Sorts of Superficies and Solids, in Ale, Beer, Wine, Cyder, Perry, Štarch, Tallow, Soap, &c. 5. Rules for Gauging, Inching, and Ullaging, of all Manner of Tuns, Tubs, Cifterns, Coolers, Coppers, Stills, and Cofks. 6. The Methods of computing the Excife, of any Number of Hogfheads, Barrels, and Bufhels, of Ale, Beer, Cyder, Malt, &c. 7. The Defcription and Ufe of the Gauging Rule and Gauging Rod. 8. The Scheme of a Divifion and Dimenfion Book; and Specimens of Vouchers and Abfracts. With many other useful and necessary Improvements, in a much more eafy, familiar, and expeditious Method, than any yet published. The whole being fo calculated, as to render it not only ferviceable to experienced Officers; but likewife of the greatest Ufe to all, whofe Business it is to inftruct others, or who intend to qualify themselves for Employments in the Revenues of Excife. By Mr. Turner, late of Magdalen-Hall, Oxford, now Teacher of Geometry, Aftronomy, and Phịlofophy, at Worcester. 8vo. 4s. Law.


HE title-page of this Book leaves little to be added concerning the Contents of it. Suffice it, therefore, to fay, that, beside the general Principles of Gauging, it contains many practical hints, useful to perfons who dedicate themselves to the fervice of the Excise.

Small 8vo.

Art. 2. The Matrons. Six fhort Hiftories.

2s. 6d. fewed. Dodfley.

Some fcandalous perfon, not having the fear of the fex before his eyes, (but feduced by the irftigation of the [Printer's] Devil) hath wickedly and with malice aforethought, with a certain goofe-quill, value one farthing, and a phial of ink, value one halfpenny, compiled, collected, and connected, fix idle tales, fo as, when united, to compofe an atrocious libel on the fairest part of God's creation.


The particulars fpecified in the above indictment, are, 1. The old well known flory of the Ephefian matron: from Petronius. The Chinese matron: a tale from Du Halde. 3. The French matron: a ftory contained in a letter from Sir George Etheredge to the


Duke of Buckingham. 4. The British ma ron: an abftract of a little volume published in the year-1755, entitled the Widow of the Wood. 5. The Turkish matron: from a MSS. 6. The Roman matron from the old ftory-book entitled, The Seven wife Maßlers of Rome.

A potable compendium this! admirably well calculated to encourage matrimony! but, hard as the tenor of it seems to bear on the effimable qualities of the fair fex, yet let them not be discouraged÷ for, as if they were exceptions to general obfervations, the inftances are truly fingular; one of a nation. So that this compiler really declares the truth in the dedication, which he has the confummate affurance to addrefs to the mations of Great Britain and Ireland: "A moment's reflection, fays he, will convince you, that this nifcellany is, in effect. a real panegyric; fince to compi.e it (hort as it is) we have been obliged to ranfack the mouldy volumes of antiquity, and to take a voyage as far as China." This is fo far true, that, befide his Travels, he has been content to accept his firit ftory, of the Ephefian matron, new vampt, in no very de ent manner, from the History of the feven wife Malters, an't please you, under the name of the Roman Matron; to compleat his half dozen.

Great acknowlegments are unquestionably due to him from the ladies, for his latent kind intention toward them in this publication, which is intimated in the enfuing words" The more we are difpofed to blame the levity or wantonnefs of those widows, whofe weeds are only a cloak for immodefty, or a lure for folicitation, the more we must admire the virtue and prudence of every lady whofe conduct has been the very reverse."

The thanks of the British ladies ought to be conveyed in a counter-part of this negative panegyric; which, as literary females are not fcarce, is neither impoffible nor improper, otherwife than as it might give confequence to a work which may never acquire any alone. if it fhould, there are, however, literary men fufficiently ready to derive confequence from it; fo that in fuch cafe the hint is in no danger of being loft.


Art. 3. The Art of Short-Hand improved; being an univerfal

Character, adapted to the English Language; whereby every
Kind of Subject may be expreffed, or taken down, in a very easy,
compendious, and legible Manner, either in public or private.
By David Lyle, A. M. 8vo. 10s. 6d. Boards. Millar.

Mr. Lyle's Treatife is very ingenious; his fhort-hand is truly syftematic in its rudiments, but, apparently at least, much too complex and refined in conf.ruction: his characters are very numerous and compounded; though chiefly in a curvilinear way. Were we difpofed to criticife, this remark would occur, among others, that his diftinction between two kinds of points, a round and an oval, is not intelligible. A point is the beginning of all character; and the production of a point is the commencement of line: how therefore an oval point is to be underfood cannot be determined. A perfon,


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indeed, may work the nib of a pen about until he makes a spot of what fize and shape he pleases; he may even make what may be called a quare point, if he chufes: but this takes time.

Now, tho' it does not appear that Mr. Lyle has brought the art of fwift writing to the ne plus ultra either of fpeed or uniformity, yet his fcheme certainly has its recommendations; and the author deferves the thanks of the Public in common with every other promoter of ufeful arts. He is very full and diftinct in his specimens; and has given a dictionary of words, and their characteristic expreffions, all handfomely engraved on copper plates. N

Art. 4. Cryptography; or a new, eafy, and compendious Syftem of Short-Hand, adapted to all the various Arts, Sciences, and Profeffions. The Perfons, Moods, Tenfes, and Particles, are contrived to join with the utmost Facility and Diftinctness; and the whole treated in fo plain and perfpicuous a Manner, that the Learner may in a fhort Time, without any other Afifiance, become Master of this Art, which hitherto has been looked upon as a Matter of much Time and Difficulty. By Swaine and Simms. Small Size, 6s. Henderson, &c.


Meffieurs Swaine and Simms introduce their Short-hand with a compendium of English grammar: as to their alphabet. they do not pretend to have made great improvements on former plans, nor do they conceive theirs capable of any. They have decorated their book with the folar, and two or three aftronomical schemes, which are explained in their Short-hand.


Art. 5. The Elements of the French Language: containing, I. A Set of Fables, by Means of which the reading of French is made easy, and the Pronunciation effectually attained. II. A Nomenclator of the most neceffary Things. III. A Table of French IVords introduced into the English Language, and differing only in Termination. IV. A Table of Words, the jame, or nearly alike in Stund, but different in Signification and Spelling. V. The most common and most useful Forms of Speech. VI. The Accidence of the French Tongue. By Lewis Chambaud. 8vo. I s. 6d. Becket and De Hondt.

The Public are no ftrangers to the abilities of Mr. Chambaud, to whom the polite part of mankind are fo much indebted for his labours to facilitate the acquirement of their favourite language. Thefe elements, as he fays in his preface, are intended for an Introduction to his Grammar, Exercifes, Vocabulary, and Forms of Speech. Pronunciation being a principal difficulty in this arbitrary tongue, Mr. Chambaud has given fome very judicious hints to the Malter, on the eafieft method first to learn his Pupil Pronunciation, and then to connect it with combinations of letters by no means capable

pable of forming the founds they are made to excite. This may therefore be esteemed a principal excellence in this little book.



Art. 6. Auli Perfii Flacci, Satyra, cum Notis. Evo. I S.

Perfius is obfcure, but his Commentator is totally unintelligible. This piece is entitled the Satires of Perfius, with Notes, but no notes are here to be found, except a few tagged to the first fatire; and most of these are trifling or incomprehenfible. What the author could intend by the publication of this work, we cannot conceive; but furely he ought not to have advertised a Commentary on the Satires of Perfius, when he had only commented on one fatire?

Annexed to Perfius, is the moft unaccountable rhapfody that ever was written, about- we know not what. We fhall not be fo cruel to the author, as to make any quotation from this Piece.



Art. 7. A Second Warning to the World by the Spirit of Prophecy, in an Explanation of the Mysteries in the Feast of Trumpets, on the first Day of the feventh Month, which will be celebrated in the New Jerufalem, between the Years 1762 and 1766. By Richard Clarke, Preacher of the Gofpel of the Ages, according to the Law and the Prophets. 4to. 2s. 6d. Townsend.

In our XXIt Vol. p. 356, the Reader will find fome mention of the fir warning fo kindly given us by this profound Explainer of things inexplicable; to which, and to our Account of his Effay on the Number Seven*, we refer, as fufficient for the prefent Artic e.

Mr. Clarke was formerly Minifter of St. Philip's, in CharlesTown, South Carolina. In his first warning, he undertook to explain the prophetical Numbers of Daniel and John, and to inform us when the Millenium will take place. We are alfo obliged to him for his inftructions concerning the fabbatical year.

Review, vol. XX, p. 611.

*Our learned and ingenious correfpondent of New Strelitz is defired to excufe our not having as yet complied with his request; the multiplicity of productions, conftantly on our hands, having occafioned this delay. The tracts in queftion, however, will be taken notice of the first opportunity.

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