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Burrow's Restitution of Apollonius Pergæus. 467 blem is confused, and his determinations are tedious, unartificial, and, without doubt, very different from those which were given by the original author. Of Dr. Horsley's an opinion has already been given in our Review for January 1771. He has, perhaps, come nearest to Apollonius in the general division of the problem; but yet we apprehend the Doctor must agree with us, that his analysis of the problem is essentially different from that given by Apollonius; neither are we clear that his method of deriving the limitations is genuine.
Mr. Burrow, we conceive, has come nearer to the ApolJonian method of solution than any who preceded him, as will be evident to every one that takes the trouble of comparing his solution with the lemmas which Pappus has left us for the analysis of the problem. He has also shewn great address in his determinations, which are elegant and concise; perhaps not inferior to those which were given by Apollonius himself; but that they are not the same, will be evident from the first-mentioned lemmas. On the whole, we are confident this little tract will be read with pleasure by every one who has a true taste for pure geometry; and we cannot help congratulating the Author of it on his attainment to a better taste in these matters : for he has here given, not only the analytical, but also the synthetical effections of each problem, 'notwithstanding we recollect to have seen him formerly maintaining, " That to give a demonstration in form, after a clear analytical investigation, would be most ridiculous pedantry;" the contrary of which, we make no doubt, he is now thoroughly convinced of. And, although there are some little defects and blemithes in the present performance, which a longer and more attentive perusal of the best writers on geometry will teach him to avoid in future; yet it exhibits such marks of real genius as are not often to be met with in young geometricians.
Sincerely could we have wished to congratulate him also on his attainment to a better temper and disposition of mind; but we are sorry to observe that no evidence of this appears in his preface. The violence of his temper seems, indeed, to have hurried him into inconsistencies which he could not otherwise have fallen into, as the following extract will sufficiently testify :
The Author having fince (completing his work] had a sight of Pappus's Collections, finds reason to conjecture that he has coine nearer to the spirit of the great original than the production of the reverend Compiler.' What reverend Compiler? No compiler, reverend, or otherwise, is mentioned by Mr. B, before ; but we apprehend Dr. Horsley is to be understood, and then the obvious meaning of the sentence will be, that his per3
formance comes nearer to the spirit of the great original than it does to Dr. Horsley's compilation, as he is pleased to term it. He adds, - For as to the work of Dr. Horsley, it is split into such an infinity of different cases, frittered into so many divifions and subdivisions, and treated besides in a manner so closely bordering upon algebra, that it does not appear to have the least fimilarity to any of the genuine productions of Apollonius; and what is still more defective, he has not only left his constructions undemonstrated, but has entirely omitted those very material propofitions which make the third and fourth of the following book; not to mention the inelegance of his method, his virulent remarks, and his arrogant and contemptuous expressions against former writers. The Author therefore hopes, that if the following should meet with the approbation of mathematicians, any apology for treating the same subject after the Doctor will be entirely needless.'
Now, to pass over the injustice of blaming a man for not doing what he never intended, or perhaps thought of (for it may easily be Thewn that Mr. B.'s third and fourth problems made no part of the work of Apollonius, which Dr. Horsley alone attended to), it is very extraordinary in Mr. B. at least, to censure the Doctor for avoiding a conduct which he himself has declared to be most ridiculous pedantry : and it is yet more fo to affert, that distinguishing the several cases of the problem has rendered the Doctor's work totally unlike that of Apollonius, when it is well known to every person, intimately acquainted with the method of the ancient geometricians, that it was on this particular specification of the cases that they much valued themselves; and when there yet remain the lemmas which Apollonius made use of to facilitate the analysis of the several particular cases of this very problem. Moreover, if the Dodor's expressions, which Mr. Burrows says are virulent, arrogant, and contemptuous, with respect to former writers, have rendered him unworthy of attention, a similar conduct must render Mr. B. fo likewise.
The tract on Gunnery contains 'demonftrations of the principal propositions in the doctrine of projectiles, considered as being made in a non-refisting medium. They are elegant, and purely geometrical; and Mr. Burrow has extended them to some points, more general than those which had been treated on by former writers. But it is, like the former tract, preceded by a very ill-natured preface, in which the Author has descended to downright ribaldry.
ART. XII. - A Paraphrafe or Poetical Exposition of the Thirteenth
Chapter of the First Book of St. Paul's Epiftles to the Corinthians.
ledge ourselves no great admirers. When they are made ure of as comments on an author, they perhaps as frequently obscure or pervert, as elucidate his meaning. When they are employed to unfold the beauties of sentiment or language, they often deviate from the true character, and lose the distinguithing excellencies of the original. The compound produced by the ill-bestowed labours of the paraphraft, is, like wine diluted with water, vapid and tasteless.
We find ourselves under the necessity of considering the verses before us, though the work of an able master, as a confirmation of the truth of these remarks. The beautiful fimplicity and strength of the original appears to us almost entirely lost in the imitation. Had the poem been less diffuse, it would probably have been a less imperfect copy. This may be in part inferred from comparing the two following imitations of the same passage, the first from our Author, the second from Prior :
"Tis thine the raging passions to controul,
The filent eloquence of kindness meck
Grace in thy gestures and thy looks is seen,
Or aught that can thy neighbour's peace destroy
Still hope that time their frailties may remove,
Charity, decent, modeft, easy, kind,
And opens in each heart a litile heav'n. PRIOR.
, un corrupted taste will, we doubt not, pronounce sentence in fa
. vour of the following artless, yet touching, language of the Apostle" Charity suffereth long, and is kind; Charity envieth not; Charity vaunteth not itself; is not puffed up; doth not behave itfelf unseemly; seeketh not her own; is not eally provoked; thinketh no evil; rejoiceth not in iniquity, but re. joiceth in the truth; beareth all things; believeth all things ; hopeth all things; endureth all things.
To these general observations we must subjoin a particular remark or two on the execution of the poem. And firs, the Author does not appear to us to have clearly ascertained, or at least expressed, his idea of his subject. As if Charity and Love were distinct things, and not different words to express that benevolent principle which the Apostle calls &patn, addreffing “ fweet Charity," he says,
If thy sweet virtues from my soul depart,
Thy Christian Love be foreign from my heart. There appears, moreover, a great inequality in the execution of this piece : sometimes the poet rises into the obscure of fublimity, and sometimes creeps in humble profe. The following lines on the state of knowledge in the life to come are of the former kind:
His vain attainments shall like Mades depart,
In one all-powerful and immortal blaze.
Where in th' Almighty's presence we shall shine,
And Him shall know, as we ourselves are known. On the whole, we cannot think that Mr. Anity would have loft
any share of poetical reputation, if he had confined himself to his native walk of satirical humour, which he has so frequently trodden with success.
Boards 3 s.
MONTHLY CATALOGUE, ,
For J U N E, 1779.
to the Culture and Improvement of it for Vegetation, and the
HE Editor's motives and inteniion in republishing this very
valuable work, will best appear from his own Preface. Terra was written by Mr. Evelyn, at the request of the Royal Socio ery, about twelve years after the publication of the Silva': And as every thing that came from his pen received diftinguished marks of public approbation, he had the satisfaction to see it undergo several impreffions during his life-time, to each of which he added something. From the extreme veneration that I entertain for the memory of fo worthy and good a citizen, I have here attempted a republica tion of that much.celebrated work; and I would fain flatter myself that it will be found free from the inaccuracies with which the other Editions abound. The occasional Notes are introduced with a design to give the Reader more extensive view of the subject, which has received mych improvement fince the days of our excellent Author. It was once my intention to have added this Discourse to my late. Edition of the Silva ; but, when that was ready for the press, I had made but little progress in the examination of this; and indeed it. was then uncertain whether I should ever complete it, as such works are with me an amusement and not a study.'
The notes with which Dr. Hunter has enriched his edition, though not very numerous, are judicious and select. Of these we shall present our Readers with one on the use of an excellent manure, not ge. nerally known.
• Bones should by no means be calcined, as their virtue will be diffipated by the fire, and nothing but a caput mortuum left behind. My worthy friend, A. St. Leger, Esq; has favoured me with che following account of bones used as manure. The subject is curious as well as important:
Eight years ago I laid down to grass a large piece of very indifferenc lime-stone land with a crop of corn ; and, in order that she grais seeds might have a strong vegetation, I took care to see it well dressed. From this piece I selected three roods of equal quality with the rest, and dressed them with bones broken very small, at the rate of fixty bushels per acre. Upon the lands thus managed, the crop of corn was infinitely luperior to the rest. The next year the grass was also fuperior, and has continued to preserve the same fuperiority ever since, insomuch that in spring is is green three weeks before che rest of the field.
“ This year, I propose to plow up the field, as the Feftuca Sylvatica (Prye Grass) has overpowered the grass-seeds originally fown. And here it will be proper to remark that, notwithstanding this species