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1796.]

Mathematical Questions,-Anecdotes, &c.

quality of being pofitive or negative;
and that the fuppofition of there being
an impoffible root in an equation, is an
abfurdity, arifing either from falfe rea-
foning on good premifes, or right rea-
foning on falfe premifes; or it may be
from falfe premifes and bad reafoning
upon them; and that Waring's celebra-
ted propofition can be of no ufe at all
but in fome few equations, whofe form
not having been afcertained, the ftudent
will moft probably err in the application
of the rule, to difcover the fums of the
powers of the roots, in any propofed
equation.
I remain, Sir,
Your fincere well wisher,

A. SEARCH.

NEW MATHEMATICAL AND PHILO-
SOPHICAL QUESTIONS.

To be answered by correfpondents in a future
Number.

QUESTION I-By Mr. Thomas Browne.
IF the wind, when blowing directly against a
board of one foot fquare, fet upright facing the
wind, exert against the board a force equal to

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the weight of 10 pounds; it is required to fhew what is the rate of velocity of the wind; with a general rule for all fuch cafes.

QUESTION II-By Mr. J. North.

refraction of light the fum of the lengths of the It has been faid, that abtracting from the longeft and fhortest days, in any latitude, is equal to 24 hours; and alfo, that the fum of the lengths of any other two days, when the fun has equal and contrary delineations, is every where equal to 24 hours.—Required, a demonftration of the truth or falsehood of this affertion

QUESTION III-By Mr. W. Gough.

From what height muft a cannon-ball fall to ftrike an object with the fame force as it would in iffuing from the mouth of a gun, fuppofing the velocity with which it was fired to be that of 1500 feet per fecond.

QUESTION IV-By Mr. B. J.

It is afferted by the chemifts, that a point may be afcertained in the thermometrical fcale, which fhall denote the natural zero, or abfolute privation of heat. As an inftance of this, it is required to how how many degrees of reflige ration would deprive ice of all its heat, and to give an investigation of the rule, ufing Fahren

heit's fcale.

ORIGINAL ANECDOTES AND REMAINS

O F

EMINENT PERSONS.

[This article is devoted to the reception of Original Anecdotes, Papers, Letters, &c. and we request the communications of fuch of our readers as can affift us in these obje&s.]

LAURENCE ECHARD.

THIS writer, however flightly he may be regarded, on account of his credulity, and for the little fpirit of difcernment and obfervation difplayed in his Hiftory of England, merits refpect for his modefty, and for the mafs of materials which he has compiled and faithfully exhibited. He was a man of great amiableness of manners, and most unaffected fimplicity, as the following anecdote will evince:-During his refidence at Louth, in Lincolnshire, he used to ride every Sunday to his cure in the neighbourhood. One winter morning, a thoemaker's boy, carrying a pair of fhoes to the fame village where Echard was bound, overtook the parfon, and bluntly asked him to take the fhoes for him, and deliver them to the farmer for whom they were made. The good natured paltor readily accepted the commillion; but afterwards thought proper to ride after the boy, and afk him what he should do with the fhoes if they did

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THIS writer, whofe name and writings feem to be finking undefervedly into oblivion, had great vigour of conception, and power of expreffion, though there appears a coarfenefs in his language. Dr. Johnfon's admiration of him was very natural, for there was a ftrong fimilarity in their fentiments and in their manners. He was a man of great pride, very overbearing in his temper, and tenacious of his own opinions. Yet his company was greatly courted, as he was extremely communicative, though not fo much from any inclination of giving pleasure or information to others, as to gratify his own vanity. His letters on the English na

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Original Letter of Mr. Flamsteed.

tion, under the fictitious name of An-
geloni, will richly repay the perufal.
There is great originality and much en-
tertainment in them, His vindication of
Admiral Byng is a strong performance,
and throws great odium upon thofe who
fuffered that unfortunate man to fall, to
fcreen themfelves. He was originally
an apothecary, then a chemift; and un-
derwent great changes of fortune.

THOMAS NEWTON, BISHOP OF
BRISTOL.

THIS ingenious and pious prelate had not a great depth of learning, 'but he made up for it by a great extent of reading. He condenfed all that he had read on the prophecies into an excellent treatife. Though ftrictly orthodox, and firmly attached to the church, of which he was certainly a brilliant ornament, he yet entertained a notion which few orthodox men are willing to encourage, and that was the everlafting mercy of God to all mankind, exhibited in the ulimate falvation or deliverance of them from the bonds of mifery, and the power of corruption. The view of a final reftoration of univerfal happiness by the Saviour of the world, opened his mind to a repugnance to the horrid notion which dooms a confiderable part of the rational creation to eternal punishment in the regions of darkness and defpair. The Reverend Mr. Thomas Broughton, vicar of St. Mary Redcliffe, Bristol, and author of a Dictionary of all Religions, in folio, had the honour of convincing the good bishop of the weak foundation on which that mercilefs doctrine has been built; for this amiable prelate made it his conftant practice to pay frequent and familiar vifits to all his clergy, and endeared himself greatly to them.

W.

[Feb.

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"Therefore y fidereall yeare is as aboue ftated; the worke has beene a little troublefome to me to cleare from

my old papers & I thinke I might haue eafier wrought it anew in decimalls then haue beene at the labor I haue to ftate it thus. I haue repeated the worke from my papers at large that yu might be fully fatisfied of it & p'haps it may be ufefull to preuent mistakes in your

Owne I haue no more to adde but that I thinke I fhall waite upon y againe on Tuefday morning next in the meane time I with yu all health & happineffe & reft yr humble feruant

JOHN FLAMSTEED."

"The waterman that brings this one Jeremy Holt is hee whom I tould y" of at the Tower Mr Stevens Mr Gammon & fome others hauc fpoken to me much An exact Copy of a curious original Let in his commendations for a fober and ter from Mr. John Flamfteed, the first difcreet fellow & one yt will be uery Aftronomer-Royal at the Obfervatory of diligent: he was defirous to waite upon Flamsteed-Houfe, in Greenwich Park, toyu & I gaue him this opportunity." Sir Jonas Moore, Kt. the then SurveyorGeneral of the Ordnance.

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For Sr Jonas Moore at ye Tower, thefc." "The Obfervatory, Feb. 8, 1677." "S",

I have examined the meane motions yu fufpected erroneous and find them accurate to fixths, and farther more needleffe fince ye error of one fixth in a day will not amount to more yn ye 20th pt of a third, in 1800 yeares which is as far back as any obfervations of the fun extend: You will therefore

The above Sir Jonas Moore, from being fimply a country fchoolmafter in Yorkshire, by his merit, and the king's favour, for whom he rendered fervices in that county, rofe to high rank, and enjoyed feveral pofts of honour under the crown, and among others, that of Surveyor-General of the Ordinance; in which fituation he was of great fervice to literature and to learned men ; and was the means of establishing the Royal Obfervatory, and placing his friend Mr. Flamfteed there as the first Aftronomer Royal. J. N.

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AS

[TO BE CONTINUED OCCASIONALLY.]

S we mean to dedicate a special article of our Mifcellany to the general History of Letters, both domeftic and foreign, we will, in this Number, give, by way of Preliminary, a concife retrofpective view of the ftate of learning in Europe, fince the commencement of the prefent century.

In comparing the prefent century with thofe immediately preceding, it will not be found, that fo much has been done toward the improvement of fcience, as may be imagined by fuperficial obfervers, and might have been expected from progreflive experience. The philologifts, orators, poets, hiftorians, and novellifts, of the fixteenth and feventeenth centuries, were by no means inferior, and were in fome refpects fuperior, to thofe of the eighteenth. In mixt mathematics, particularly in aftronomy, fome valuable, at least curious difcoveries have been made, from the great improvement of telescopes, and other inftruments of obfervation. Mechanics have been carried to a much greater degree of perfection; and natural and experimental philofophy have acquired a certitude and accuracy, beyond what they had in any prior period: pharmacy bas alfo been purified from the dregs of former times; anatomy and chirurgery have been eagerly and fuccefsfully cultivated; and the principles of the healing art have been fimplified and better arranged.

Such are the parts of fcience, with refpect to which our age can boast fome fort of fuperiority: for, with regard to the fine arts, as they are termed, we apprehend they are rather languishing than acquiring vigour. A partial or local improvement, in fome of them, may have taken place, and has, no doubt, taken place in this nation; but we greatly mistake, if on the whole, they have not loft more than they have gained.

Whether in political, moral, or religious knowledge, we are a whit wifer than our forefathers, appears to us a problem, that may be difputed with MONTHLY MAG. No. I.

equal plaufibility on both fides of the queftion. It is true the general principles of focial compacts and civil inftitutions have been more thoroughly canvaffed, and perhaps better understood; the natural rights of man more clearly afcertained and more ftrongly afferted; the various forts of government better difcriminated and more impartially appraifed: but how far these fine theories are compatible with practice, or are likely to be attended with permanent bleffings to fociety, is yet to be feen.

New fyftems of ethics have likewise been created, and bafes of various forms have been contrived for the ftatue of Virtue; yet we think it must be confeffed, that the goddess is not more fincerely worshipped, nor her votaries more numerous than in the days of our predeceffors; we fear the reverfe is true.

As to theology, or the fcience of religion, it has certainly undergone fome confiderable changes within thefe fifty years, and is apparently on the eve of ftill greater alterations: but whether thefe alterations will produce a more genuine religion, that is, a more exalted idea of the Supreme Being, a greater refpect for his behefts, and a more humble fubmiffion to his will; in fhort, a more fervent and difinterefted piety, feems to us highly problematical: Time, the greatest inftructor, will fhew how far our miftruft is grounded.

One thing, however, may be advanced as true religion in general wears a more amiable face; intolerantifm is no more her infeparable companion; and mankind feem willing to go to heaven, without juftling one another on the road. The principles of religion too have been more minutely examined; many inveterate prejudices exploded; revelation grounded upon more rational motives of credibility; a number of various corruptions eliminated from the facred volumes with which the hand of time had tarnished them; and biblical criticifm eftablifhed on fuch principles, and guided by fuch rules, a huft neceffarily tend to its perfection F

This

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Hiftory of Literature.

This, therefore, is all well: yet if all this conduce not to meliorate the heart of man, to infpire him with a greater degree of the love of God and of bis neighbour; what will religion profit by

it ?

On the other hand, it is but too true, that irreligion has made great ftrides during the fame period. The metaphyfics of Hume, the eloquence of Bolingbroke, the learning of Freret, the wit of Voltaire, and the fafcinating logic of Rouffeau (not to mention a numerous but lefs formidable tribe of inferior writers) have inflicted fevere wounds on Christianity, and spread the contagion of infidelity far and wide: even Atheism, who before lurked in corners, and covered his face with a deceitful veil, has recently fhewn himfelf without difguife; and Hammonds and Dantons have appeared, who boldly dared the DEITY to punish them for difbelieving his existence. And this is called The Age of Reason!

Having thus given a fhort view of the prefent ftate of literature in general, we will next, in as few words as poffible, and we flatter ourselves with ftrict dif tributive juftice, affign to the different nations of Europe their respective fhares; and begin by

ITALY.

Every one knows that, on the revival of letters, Italy was their first foftermother; and the golden age of LEO will ever be accounted a remarkable ara in the hiftory of human knowledge. For a century, at least, it retained its fuperiority; and although it has fince been vifibly finking in the public fcale, yet it ftill holds a confiderable rank in every branch of science, where religion is not directly or indirectly concerned. It has produced excellent hiftorians, most ingenious poets, and fume tolerable orators; it has greatly embellished its fine melodious language, and was the firft modern nation that had a good lexicon. In mathematics and experimental philofophy, it is not below its neighbours; and it has always been deemed the beft fchool for mufic, painting, and fculpture. Divinity alone (and philofophy in as far as it is con. nected with divinity) has been bound in fetters by monachifm, fuperftition, and inquifitorial tribunals. But thefe fet ters will probably foon be fhaken off by that ingenious people: God grant they may not at the fame time thake off Religion

[Feb.

herfelf, under the idea that he had forged their chains: this is no uncommon procefs in national revolutions. Some change in the religious creed of Italy, appears to be inevitable. The fcriptures are more generally ftudied, and have been tranflated into the vulgar tongue; the bishops of particular diocefes, fupported by their refpective fovereigns, begin to exercise a jurifdiction independently of Rome papal infallibity is fcouted every where, fave in the Papal territories, and even there feebly defended, perhaps not believed; fuperftitious rites and ufages are daily diminishing, and freedom of thought pervades all ranks of men who have had any fort of liberal education. What may we not augur from fuch symptoms?

SPAIN and PORTUGAL.

Although thefe nations have, for almoft two centuries, made very little figure in the field of fcience, it is not hence to be concluded that this has been owing to want of capacity: they are naturally a thinking and acute people, and, in the fixteenth century, held a refpectable rank among the nations of rigid and bloody than that of Italy, has Europe; but here the inquifition, more ftifled every fpark of genius that has come within its reach, and plunged the be credited. The time, however, feems inhabitants into an ignorance hardly to nal must be abolished; and, to do jufto approach, when that diabolical tribu tice to this and the laft reign, its power has already been greatly curtailed: ftill, however, it has power enough to pre ledge; and few, comparatively, are the vent a general diffemination of know works of value that have yet been written on the other fide of the Pyrenées. Yet the Spanish language feems peculiarly formed for fine compofition, whether in profe or verfe; and they have

now a national dictionary that vies with any in Europe.

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tongues in the univerfe? Thy Gotho gallic jargon, embellished by the fkill of thy grammarians and orators, became the language of the world, and the vehicle of knowledge to the ends of the earth. "Ah! how are the mighty "fallen, and the weapons of learning perithed!"

Reader, we mean not, by this apoftrophe, to debafe the French nation, nor to throw any flur upon their late exertions to fhake off the yoke of defpotifin, and yindicate their just rights; we are only penetrated with forrow and regret, that the vindication of thofe rights fhould be attended with confequences fo fatal to LEARNING, and we fear to liberty itself, at leaft for a long portion of time. But is France at prefent without learned men are the arts and fciences there totally neglected? Neither the one nor the other! But, alas! the number of truly-learned men in France, at this moment, are like the gleanings of the field: old age, exile, or the guillotine, has fwept the great harveft away; and it will be yet a long, long winter before fuch another crop can appear. The arts and fciences are not altogether extinct; but they fhed only a faint light: the rays of which ferve chiefly to fhew what Vandalic devaftation has been made among their beft productions. Let us turn our eyes from fo difmal a profpect, and cherish a hope, that the genius of France may yet trim bis withered bays, and rife to his former renown,

GERMANY, HOLLAND, &c.

A petulant French Jefuit once made it a queftion,. Whether a German were capable of wit? And not lefs petulant was the obfervation of an Englishman, that the Dutch carried their genius in their backs. Odious affertions! The German Luther had at least as much wit as Father Bouhours; and the Colloquies of Erafmus, of Rotterdam, contain more Attic humour than can be collected from the whole mafs of English writers, from Chaucer to Swift.

That the French, a vain and jealous nation, should contemn German lite rature, is not much to be wondered. They have fometimes affected to defpife their mafters, the Italians. But that we, a Saxon colony, fhould join in the af front, is certainly a matter of furprife. The truth is, that, although the Ger man be the parent of our own tongue, or at least a fifter-dialect, we have not,

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until very lately, paid any attention to German books, unless they were written in Latin. Yet Germany has, in the courfe of the prefent century, produced as many good works, in German, as any country in the world. We know not even if it be faying too much, to affirm, that more German books are annually published than in one half of the world befides: they are not all excellent, to be fure, but most of them are good, and few intolerable; and there is not a branch of fcience which is not highly cultivated, efpecially in the Proteftant univerfities. Formerly, the Germans wrote in various dialects, as numerous as their various provinces; and ftill there are fhades, of difference in the languages of Berlin, Leipfic, and Vienna. But having now an excellent lexicon, and feveral good grammars, they feem to aim at fome fort of uniformity, both in ftyle and phrafeology. Their poetry is greatly improved, and every day improving; in novel-writing, they are more natural than we; of their oratory. we cannot fay fo much; in mathe-. matics, natural hiftory, phyfic, experimental philofophy, they are fecond to none; in rational theology, they have made great progrefs; and in biblical criticifm, hold the very first rank.

What we have faid of Germany is more or lefs applicable to Holland, Sweden, Denmark, and the other northern regions that border on Germany, and fpeak Teutonic dialects. To them the German has been chiefly the great vehicle of knowledge, which they have generally transfufed into their own tongues: but, in Sweden, of late, many very learned men have arifen, who, in philology, and every fpccies of critical knowledge, are not inferior to the Ger mans; and they have one of the best tranflations of the bible that have been, made into modern languages.

The literature of Holland is, in fome measure, peculiar to itself. Although their language be a German dialect, it has not been much written in; their principal works are in Latin or French. This latter was imported by the French refugees, who fled from the perfecution of Louis XIV, and, through them, foon became familiar to the Dutch themfelves: almoft as many French works have iffued from the preffes of Amfterdam, Rotterdam, and the Hague, as from thofe of Paris and Lyons. We speak not at all of the Netherlands, becaufe we know no works of any great

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merit

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