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this part of the work the Editor has made ample use of the Dir-
partly / and it /
Isaac Newton, Knight. Translated into English, and illuftrated
*HIS first volume of Mr. Thorp's translation of the Principia
comprehends the first book of that immortal work. The
is added with a view to supply those demonstrations which the Author had omitted, on the supposition that they were previously known ;-- to point out the extent and limits of problems; and to thew their practical use and application to the fyfo tem of the world.'
That the Reader may receive benefit from this commentary, the Editor requires only that he thould be perfectly well acquainted with the geometry of Euclid, the elementary parts of algebra, and a few of the primary properties of the conic sections. With a view to elucidate the use and tendency of the molt abitract propositions, several corollaries and philosophical scholia are added : and as the synıbetic form of demonftration is best suited to those for whose use the commentary is intended, Mr. Thorp has, in his notes, adopted the geometrical style of the Author. He has, however, occafionally made use of the Author's method of Auxions, which he has employed in a few analytical demonstrations of some
of the principal propotitions, B.y. Art. 16. The Elementary Parts of Dr. Smith's Complete System of
Oprics, selected and arranged for the Use of Students at the Unia
The scarcity of Dr. Smith's Complete System of Optics having been
to arrange them in such order as should best correspond with the plan
fruments. By Mr. John Ramsden, . Mathematical Instrument-
The Commissioners of Longitude having, on certain conditions,
screw, which is a principal part
Reflelling Telefcope, delivered before the Royal Society, Nov. 30,
M. D. In which the Author hopes that the Doctrine of Parism is
The porisms of Euclid, contained in three books, were a carious collection of many things which related to the analysis of the more difficult and general problems, and were distinguished, according to Pappus's account of their nature, from theorems in which something was proposed to be demonstrated, and from problems in which something was proposed to be constructed, as in these something was proposed to be investigated. Nothing remains in the works of the ancient geometers concerning this subject besides what Pappus has preserved in his mathematical collections. The celebrated D. Gregory, in the last page of his preface to Euclid's works, expresses his opinion, " that it would not be difficult in some measure to restore the porisms, when the Greck text of Pappus Mould see the light ;''
but Dr. Halley, after having published this Greek text in as correa
of Geography, and by an expeditious Method to imprint a Know-
15 s. Printed for the Proprietor, Successor to the late Mr. Jeffries, near Charing Cross.
These Exercises conilt of nine maps, judiciously selected and neatly engraved ; and of as many corresponding theets, with the fcules of longitude and latitude, together with the meridians and latitudes upon them; which are to be filled up by the scholar with the coails, boundaries, rivers, provinces, &c. of the opposite map. The w zility of exerciting young persors in drawing maps is suficiently evident: and this performance may contribute much to facilitate the acquisition of a science which it is shameful to be ignorant of,
Brittol on the Bills now depending in Parliament, relative to the
Mr. Burke having concurred with administration, in favour of the : bills above alluded to, on general (perhaps too general] principles of
fair, open, national commerce, (considering the Irish as a part of ourfelves) and regardless of the particular objections * made to those bills by the merchants of Bristol, Liverpool, Glasgow, &c.-Murmurs were, confequently excited amongit his conftituents, of the tirit mentioned
• What those objeâions are, does not particularly appear in these Letters ; but they may be seen in every news paper; and they seem to have weighe fufficient to merit Mr. B.'s utmoit attention,
city, who complained that they could not have him for their advocate.
Merchants and Manufacturers of the City of Glaigow, upon their
A tharp invective against the " Men of Glasgow,” for their opposi-
“ Awe ye gude fowk o' the toun of Innerkeithen; this is to let
The author says he was furnished with the foregoing notable oration,
ceeding in Pi, on that memorable Day, Feb. 176 1778,
Arraigns the conduct, and questions the abilities of Mr. Fox;
+ • It is for you, and for your intereft, as a dear, cheitha', and respected part of a valuable wbule, that i have taken my fac ia shes quellion
which this gentleman writes ) for one of the most masterly Philippies that ever touched or acted upon the heads and hearts, of men ! And the ground, throughout so strong and obvious, it seems to have needed but small ability or art to seize it. Real patriotic feelings could Kot potsibly have resisted taking it. Your private line of interetted pursuit, one cannot but think, of course, would di&tate ic : and your personal animosity to the man could leave no room to doubt, how much you wished him down: and yet you let this great occasion flip. To what can we ascribe this ?-How poslibly account for che frange congratulating strain, for acquiefcing language and promised fupe port in the very moment of all others that called for your most powerful invigorated exertions, that demanded the most animated, violent, redoubled efforts of opposition. Instead of this, it is remarked, Mr. F. actually, himself, most unaccountably aided the very minifter, whose removal had been the fingle object of his (Mr. F.'s) political life, and concurred in suffering OPPOSITION to be the dupe of ministerial jockeyship, to a degree beyond all power of belief. The au. thor concludes, your letting go bye fo palpable an opening, [to push the minister from his ftation) can only be imputed to the want of necessary, quick, political, discernment, to your incapacity, your unfitness for that character and part which your puny, ill-supported ambition led you vainly to affumi.'
On this point, and on the politics of the times, particularly the American revolt, the author enlarges, through forty pages, in which we meet with some notable observations, expressed in a manner fingularly uncouth and unpleasing. In principle, he is anti-ministerial, but not violent. He condemns the condud of administration, as unhappily founded on one or both of the following capital deficiencies--the want of information, with respect to the state of America, or, what is fill worse, an ignorance of buman nature : which he endeavours to evince by arguments drawn from notorious fa&ts.- With refpect, however, to the gentleman to whom these observations are immediately addressed, he takes leave of him in the following terms:
• Abilities, Sir, undoubtedly you poffess-but I cannot say that you have convinced me you have to that degree, or to that general extent, which your friends would seem to give you credit for. Appearing earlier than most characters, and the education you had received haviog been directed principally to the line of parliament, and under the immediate controul of one who felt not only a warm interest in die recting it, but who was fully competent to the talk of giving it, being himself both an able politician, and a successful speaker in parliament-men were well and favourably disposed to receive you upon the mere credit of your master, and you came forth with uncommon expectations and eclat-with every advantage too, for many of the old respectable speakers were gone off - the remainder few retiring falt-and the disipated manners and idle turn of the times furnished no supply to these ;—and thus ftanding in a manner alone and fingle-you appeared with unusual luftre-was regarded as a prodigy of parts. Your style of speaking marked evidently the school in which you ftudied and proved the wonderous pains and care with which you had been taught. But circumstances, partly of your own producing, partly in the course of nature, food left you to yourself;