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

I am, with the greatest regard,
Whitehall, June 25,

Gentlemen,
1762. Your most obedient and humble servant,

C. S.

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Profpelius novæ Editionis Arithmeticæ universalis Nezutoni.

Ova editio arithmeticæ univerfalis a magno Newtono

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liopola Amstelodamensis, complectitur.

Imo, Opus ipsum Newtoni Latinum, quale postremis curis edidit auctor, nitide et emendate typis descriptum. Cum exemplaria Latina venalia nusquam reperiantur, dum reliqua Newtoni opera ubique prostant; gratissima doctis erit hæc nova editio, quæ omnium operum Newtoni collectionem complet.

IIdo, Commentarium perpetuum in arithmeticam univerfalem, in quo omnia theoremata, ab auctore tradita fine demonstratione, accurate demonftrantur ; rationes, quas Newtonus brevitatis causa omifit, in tironum gratiam fubducuntur ; problemata geometrica construuntur, et geometricarum constructionum fontes aperiuntur; nonnulla problemata geometrice solvuntur more veterum ; nonnulla enarrantur nova quæ pertinent ad naturam problematum, æquationum, et radicum.

IIItio, Additamentum constans ex iis scriptis quæ celeberrimus Gravesande adjunxerat editioni fuæ, et ex differtationibus vel editis, fed raris, vel etiam adhuc ineditis, virorum celeberrimorum Nicolai et Danielis Bernoulli, Baermanni, Kaefineri, Boscovich, et aliorum. Omnes lize differtationes vel Newtoni doctrinam illustrant, vel algebram promovent.

Quibus de causis (perat editor fore ut omnes gecmetræ labores fuos probent; cum præsertim opus ipfum fit magni faciendum, et a maximis geometris laudatum et commendatum ; et cum in commentariis non pauca legantur quæ geometriam et algebram illustrant, et quæ fruftra quærerentur apud celeberrimum Colin Maclaurin aliofque qui Newtoni arithmeticam univerfalem explicandam susceperunt. Hi enim omnes data occasione, et aliud agentes, hujus libri partes aliquas explanarunt, nemo, quod fciam, totum dedita opera explicandum suscepit.

MONTHLY

1

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MONTHLY CATALOGUE,

For JUNE, 1762, continued.

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MISCELLANEOU S.

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Art. 1. The Young Gauger's best Instructor : Being a new and

complete System of Gauging, in all its Varieties, both Theory and
Practice." Exhibiting, 1. Decimal Arithmetic. 2. The Ex-
traction of the Square and Cube Roots. 3. The Calculations of
all kinds of Multipliers, Divisors, and Gauge Points. 4. The
Metbeds of finding the Areas and Contents, of all sorts of Su-
perficies and Solids, in Ale, Beer, Wine, Cyder, Perry, Štarch,
Tallow, Soap, &c. 5. Rules for Gauging, Inching, and Ul-
laging, of all Manner of Tuns, Tubs, Cisterns, Coolers, Coppers,
Stiils, and Cofks. 6. The Methods of computing the Excise,
of any Number of Higheads, Barrels, and Bufhels, of Åle,
Bier, Cyder, Malt, &c. 7. The Description and Use of the
Gauging Rule and Gauging Rod. 8. The Scheme of a Divi-
fion and Dimension Book; and Specimens of Vouchers and Ab-
fracts. IVith many other useful and necessary Improvements, in
a much more easy, familiar, and expeditious Method, than
yet published. The whole being so calculated, as to render it
not only sirviceable to experienced Officers ; but likewise of the
greatejt Use to all, whose Business it is to instruct others, or
who intend to qualify themselves for Employments in the Re-
venues of Excise. By Mr. Turner, late of Magdalen-Hall,
Oxford, now Teacher of Geometry, Astronomy, and Phi-
losophy, at Worcester. 8vo. 45. Law.
HE title-page of this Book leaves little to be added concerning

the Contents of it. Sufiice it, therefore, to say, that, beside the general Principles of Gauging, it contains many practical hinis, useful to persons who dedicate themielves to the service of the Excise. Art. 2. The Matrons. Six Mort Histories.

Small 8vo. 25. 6 d. sewed. Dodsley.

Some scandalous person, not having the fear of the sex before his eves, (but feduced by the irftigation of the [Printer's] Devil) hath wickedly and with malice aforethought, with a certain goose-quill, va. lue one farthing, and a phial of ink, value one halfpenny, compiled, collected, and connected, fix idle talez, so as, when united, to compose an atrocious libel on the fairest part of God's creation.

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

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dimension,

Duke

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erem 0m3 s aliquas et explicando

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Duke of Buckingham. 4. The Britih ma ron: an abfract of a little volume publihed in the year 1755, entitled the Widow of the Wood. 5. i he Turkith matron: from a MSS. 6. The Roman matron : from the old story.book entitled, I he Seven uise Mafiers of Rome.

A potable compendium this! admirably well calculated to encourage matrimony! but, hard as the tenor of it seems to bear on the eftimable qualities of the fair sex, yet let them not be discouraged : for, as if they were exceptions to general observations, the initances are truly fingular ; one of a nation. So that this compiler really declares the truth in the dedication, which he has the consummate affurance to address to the mat:ons of Great Britain and Ireland :

.“ A moment's reflection, says he, will convince you, that this iniscellany is, in effect. a real panegyric ; fince to compi.e it (thoit as it is) we have been obliged to ransack the mouldy volumes of antiquity, and to take a voyage as far as China.” This is so far true, that, beside his Travels, he has been content to accept his firit ktory, of the Ephesian matron, new vampt, in no very de ent manner, from the History of the seven wise 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 in:imated in the entuing words

." The more we are disposed to blame the levity or wantonness of those widows, whose weeds are only a cloak for immodesty, or a lure for solicitation, the more we must admire the virtue and prudence of every lady whose conduct has been the very reverse.".

The thanks of the Britih'ladies ought to be conveyed in a counter-part of this negative panegyric; which, as literally females are not scarce, is neither impossible nor improper, otherwise than as it might give consequence to a work which may never acquire any alone. if it should, there are, however, literary men fufficiently ready to derive consequence from it ; so that in such case the hint is in no danger of being lost.

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

Character, adapted to the English Language; whereby every Kird of Subject may be exprefed, or taken duwi, in a very easy, cumpirdicus, and legible Manner, either in public or private. By David Lyle, A. M. 8vo. 105. 60. Boards. Millar.

Mr. Lyle's Treatise is very ingenious; his short-hand is truly fyftematic in its rudiments, but, apparently at leait, much too complex and refined in confruction : his characters are very numerous and compounded; though chiefly in a curvilinear way. Were we disposed to criticise, this remark would occur, among others, that bis didinction between two kinds of points, a round and an oval, is not in elligible. 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 under?ood cannot be determined. A perfor,

indeed, pable

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

Now, tho' it does not appear that Mr. Lyle has brought the art of swift writing to the ne plus ultra either of speed or uniformity, yet

his Icheme certainly has its recommenda:ions; and the author deserves the thanks of the Public in common with every other promotes of useful arts.

He is very full and distinct in his specimens ; and has given a dictionary of words, and their characteristic expressions, all handsomely engraved on copper plates.

N Art. 4. Cryptography; or a new, easy, and compendious System

of Short-Hand, adapted to all the various Arts, Sciences, and Professions. The Persons, Moods, Tenses, and Particles, are contrived to join with the utmost Facility and Distinčinefs ; and the whole treated in so plain and perspicuous a Manner, that the Learner may in a short Time, without any other Alitance, 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. ihey do not pretend to have made great improvements on former plans, nor do they conceive theirs capable of any. They have decorated their book wiih che solar, and two or three astronomical schemes, which are explained in their Short-hand.

N 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 effe ually attained. II. A Nomenclator of the most necessary Things. III. A Table of French Words introduced into the English Language, and differing only in Termination. IV. A Table of Wurds, the jame, or nearly alike in Sund, 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. Is. 6 d. Becket and De Hondt.

The Public are no ftrangers to the abilities of Mr. Chambaud, to whom the polite part of mankind are so much indebted for his labours to facilitate the acquirement of their favourite language. These elements, as he says in his preface, are intended for an Introduction to his Grammar, Exercises, Vocabulary, and Forms of Speech. Pronunciation being a principal difficulty in this arbitrary 'tongue, Mr. Chamband has given some very judicious hints to the Malter, on the easiest method first to learn his Papil Pronunciation, and then to connect it with combinations of letters by no means ca

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V NODERAN ji Weterané 5 ohes that

End an ora, i cict; and the e: how cierto

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

N
POETICAL.
Art. 6. Auli Persi Flacci , Satyra, cum Notis. {vo.

IS.
Wilson.

Persius is obscure, 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 firit fatire ;
and most of these are trifling or incomprehensible. What the au-
thor could intend by the publication of this work, we cannot con-
ceive; but surely he ought not to have advertised a Commentary on
the Satires of Persius, when he had only commented on one sa-
tire ?

Annexed to Persius, is the most unaccountable rhapsody that ever
was written, about we know not what. We shall not be fo
cruel to the author, as to make any quotation from this Piece.

La.
RELIGIOUS.
Art. 7. A Second Warning to the World by the Spirit of Pro-

phecy, in an Explanation of the Mysteries in the Feast of
Trumpets, on the first Day of the seventh Month, which will
be celebrated in the New Jerusalem, between the Years 1762
and 1766. By Richard Clarke, Preacher of the Gospel of
the Ages, according to the Law and the Prophets. 4to.
2 s. 6d. Townsend.
In our XXIft Vol. p. 356, the Reader will find some mention
of the firf warning so kindly given us by this profound Explainer of
things inexplicable; to which, and to our Account of his Ejay on
the Number Seven *, we refer, as sufficient for the present Artic e.

Mr. Clarke was formerly Minister of St. Philip's, in Charles-
Town, South. Carolina. In his firit warning, he undertook to ex-
plain the prophetical Numbers of Daniel and John, and to inform
us when the Millenium will take place. We are also obliged to him
for his instructions concerning the sabbatical year.

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* Review, vd. XX, p. 611.

Our learned and ingenious correspondent of New Strelitz is desired to excuse cur not having as yet complied with bis request; the multiplicity of productions, confiantly on our hands, having occafioned this delay. Tle iracis in question, however, will be taken notice of the fir/? opportunity.

INDE X.

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