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printing at Amsterdam, and will be published in a very

little time. The author of it, Mr. Castillon, 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.

Profpelius novæ Editionis Arithmeticæ universalis Newtoni.. TA T Ova' editio arithmeticæ universalis a magno Newtono

conscriptæ, quam concinnat Marcus Michael Rey, bibliopola Amstelodamensis, complectitur.

Ima, 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 proftant; 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 demonstrantur ; rationes, quas Newtonus brevitatis causa omisit, in tironum gratiam subducuntur ; 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 fcriptis quæ celeberrimus Gravesande adjunxerat editioni fuæ, et ex dissertationibus vel editis, sed raris, vel etiam adhuc ineditis, virorum celeberrimorum Nicolai et Danielis Bernoulli, Baermanni, Kaesineri, Boscovich, et aliorum. Omnes bize dissertationes vel Newtoni doctrinam illustrant, vel algebram promovent.

Quibus de causis sperat editor fore ut omnes gecmetra lan bores fuos probent; cum præsertim opus ipsum sit magni faciendum, et a maximis geometris laudatum et commendatum ; et cum in commentariis non pauca legantur quæ geometriam et algebram illustrant, et quæ frustra quærerentur apud celeberrimum Colin Maclaurin aliosque qui Newtoni arithmeticam universalem explicandam susceperunt. Hi enim omnes data occasione, et aliud agentes, hujus libri partes aliquas explanarunt, nemo, quod sciam, totum dedita opera explicandum suscepit.

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* For JUNE, 1762, continued. f 1; SI CE

MISCELLANEO U S. edwcze Stil mere

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

complete System 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, Divisors, and Gauge Points. 4. The Metbeds of finding the Areas and Contents, of all sorts of Su

perficies and Solids, in Ale, Beer, IVine, Cyder, Perry, Štarch, cieralis

Tallow, Soap, &c. 5. Rules for Gauging, Inching, and Ulat Marcus dias laging, of all Manner of Tuns, Tubs, Cisterns, Coolers, Coppers,

Stills, and Cofks. 6. The Methods of computing the Excise,

of any Number of Hogsheads, Barrels, and Bushels, of Åle, zuinum, qual este

Bier, Cyder, Malt, & c. 7. The Description and Use of the typis delonistes

Gauging Rule and Gauging Rod. 8. The Scheme of a Divifion and Dimension Book; and Specimens of Vouchers and AbTracts. With many other useful and necessary Improvements, in a much more easy, familiar, and expeditious Method, than any yet published. The whole being so calculated, as to render it not only fruiceable to experienced Officers ; but likewise of the greatest Use to all, whose Business it is to instruct others, of 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. T HE ţile-page of this Book leaves little to be added concerning

the Contents of it. Sufice it, therefore, to far, that, beside the general Principles of Gauging, it contains many praciical hints, useful to persons who dedicate themielves to the service of the Excise. Art. 2. The Matrons. Six port Histories. Small 8vo. · 25. 6 d. sewed. Dodsey.

Some scandalous person, not having the fear of the sex before his eves, (but seduced 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 tales, 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 Ephesian matron: from Petronius. 2. The Cninese matron: a tale from Du Halde. 3. The French matron : a tory contained in a letter from Sir George Etheredge to the

Duke

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Duke of Buckingham. 4. The Britih ma ron: an ab?raet of a
Lirtle volume publihed in the year 1755, entitled the Widow of the
Wood. 5. The Turkith matron : from a MSS. 6. The Roman
matron : from the old ftory.book entitled, I he Seven weile Masters of
Rome.

A potable compendium this! admirably well calculated to encou. sage mat:imony! but, hard as the tenor of it seenis to bear on the eftimable qualities of the fair fex, yet let them not be discouraged : for, as if they were exceptions to general oblervations, the initaoces are truly fingular; one of a nation. So that this compiler really declares the truih in the dedication, which he has the confummate assurance to address to the matons of Great Britain and Ireland:

or A moment's reflection, says he, will convince yoo, that this iniscellany is, in effect. a real panegyric ; fince io compie it (thoit as it is) we have been obliged ro ransack the mouldy rolumes of antiquity, and to take a voyage as far as China." This is so far true, that, befide his Travels, he has been content to accept his firit ftory, of the Ephefian mation, new vainpt, in no very de ent manner, from the History of the seven wise Matters, an't plesse ou, 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 ensuing words

" The more we are vilposed to blame the levity or wantonness of thoie widows, whose iveeds 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 British ladies ought to be conveyed in a counter-part of this negative panegyric; which, as literary females are not scarce, is neither imposible nor improper, otherwise than as it might give consequence to a work which may never acquire any alone. If it Ihculd, there are, however, literary men furficiently ready to derive consequence from it ; so that in such cale the hint is in no danger of being lost.

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

Chara!ir, adapted to the English Language; whereby every Kind of Subject may be expressed, or taken down, in a very easy, Cimperdicus, and legible Manner, either in public or privati. By David Lyle, A. M. 8vo. 108. 6d. Boards. Millar. Mr. Lyle's Treause is very ingenious; his short-hand is truly fyra tematic in its rudiments, but, apparently at leait, much too complex and refined in confruëtion : his characters are very numerous and compounded; though chiefly in a curvilinear way. Were we dilposed to criticise, this remark would occur, among others, that his diftinction between two kinds of points, a round and an oval, is not in:elligible. A point is the beginning of all characicr; and the pro

duction of a point is the commencement of line : how there:ore · an oval point is to be underlood cannot be determined. A perfor,

indeed,

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indeed, may work the nib of a pen about oncil he makes a spot of what size and shape he pleases; he may even make what may be called a square point, if he chutes : 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 scheme certainly has its recommenda:ions; and the author deserves the thanks of the Public in common with every other promoter of useful arts. He is very full and distinct in his specimens; and has given a dictionary of words, and their characterittic expressions, all handsomely engraved on copper plates.

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Art. 4. Cryptography; or a netu, easy, and compendious Systenz

of Short-Hand, adatted to all the various Arts, Sciences, and
Profcllions. The Persons, Moods, Tenses, and Particles, are
contrived to join with the utmost Facility and Diffinĉiness; and
the whole treated in so plain and perspicuous a Manner, that
the Learner may in a mort 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.
Messieurs Swaine and Simins 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 solar, and two or three astronomical schemes, which
are explained in their Shorthand.

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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 etflually 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 Stund, but different in Signification and Spelling. V. The most common and most useful Forms of Speech. VI. The Aicidence of the French Tongue. By Lewis Chambaud. 8vo. Is. 6 d. Becket and De Hondt.

The Public are no strangers to the abilities of Mr. Chambaud, to whom the polite part of mankind are so much indebted for his lahours to facilitate the acquirement of their favourite language. There elements, as he fiys 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 judicicus hints :o the Maiter, on the easiest method first to learn his Pupil Pronunciation, and then to connect it with combinations of letters by no means ca

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pable

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

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POETICA L.
Art. 6. Auli Persii Flacci , Satyrę, cum Notis. {vo. 1 s.

Wilson.

Perfius 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 facire ;
and most of these are trilling or incomprehensible. What the ag.
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 Perfius, when he had only commented on one fa-
tire ?

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

La.

RELIGIOU S.
Art. 7. A Second Warning to the World by the Spirit of Prs.

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 Yerusalem, 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. 6 d. Townsend.

In our XXII 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 Eyas eu
the Number Seven *, we refer, as sufficient for the present Artice.

Mr. Clarke was formerly Minister of St. Philip's, in Charles
Town, South Carolina. In his first 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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*** Our learned and ingenious correspondent of New Strelitz
is desired to excuse cur not having as yet complied with his request;
the multiplicity of productions, constantly on our hands, having o-
cafioned this delay. The iratis in question, however, will be taken
notice of the first opportunity.

INDEX.

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