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tural fervour, we cannot but admire the practical example exhibited by Mrs. Graham, whose fortitude, resignation, and charity are worthy all imitation.

E.

A Concise View of the principal Points of controversy between the Protestant and Roman Churches. By the Rev. C. H. Wheaton, D. D. Rector of St. Mary's Church, Burlington, N. J.-An Address to the Roman Catholics of the United States of America. By a Catholic Clergyman.-A Reply to An Address to the Roman Catholics of the United States of America. By the author of a Letter to the Roman Catholics of the City of Worcester.-A Short Answer to " A True Exposition of the Doctrine of the Catholic Church, touching the Sacrament of Penance, with the grounds on which this Doctrine is founded," contained in an Appendix to the Catholic Question decided in the city of New-York, in July, 1813. By Charles H. Wheaton, D. D. &c.-Some Remarks on Dr. O'Gallagher's Brief Reply' to Dr. Wheaton's 'Short Answer.' By Charles H. Wheaton, D. D. &c. New-York, David Longworth. 8vo.

These controversial tracts have been collected into a stout octavo, and offer an inviting repast to those who have a relish for polemics. We do not interfere in disputes touching matters of faith.

E.

The Journal of Science and the Arts. Edited at the Royal Institution of Great Britain. New-York, James Eastburn & Co. Vol. I. No. I. Published Quarterly. It is a gratifying evidence of the state of science in this country, that a work of this kind should find a sufficient demand to warrant its republication. We sincerely hope that adequate encouragement may induce its continuance. So far from feeling jealous at the introduction of new periodical works into competition for patronage, we consider the extension of their circulation auxiliary to our own success. By it a taste for literature and a spirit of scientific inquiry may be created where they do not exist, and will only be increased where they are already implanted. Could a desire be awakened in the great mass of the 'reading public' for any other information than is to be gleaned from the columns of a weekly print, our country would afford an ample support to numerous publications in the various departments of learning. We shall never deserve the title of the most enlightened people in the world' till we read something besides newspapers. There

have their convenience and their value, but they were not designed to supersede every other source of intelligence, nor do they affect to do it. Our own pretensions, though somewhat higher, do not rise to any loftier aim than to assist the general cause by calling attention to works that merit perusal, marking their excellences and noting their errors or defects. In fact, our criticisms can be appreciated only by those who are conversant with the subjects of our scrutiny. We are, therefore, directly interested in the wider diffusion of that knowledge to which journals like the present serve as pioneers.

E.

A Geographical Description of the State of Louisiana: presenting a view of the soil, climate, animal, vegetable, and mineral productions; illustrative of its natural physiognomy, its geographical configuration and relative situation: with an account of the character and manners of the inhabitants: being an accompaniment to the Map of Louisiana. By William Darby. Philadelphia, John Melish. New-York, Kirk and Mercein. 8vo. pp. 270.

Mr. Darby has given a very interesting work on the Louisiana country and settlements. It consists of two parts, a map of the regions he describes, and a memoir elucidating the map. Major Rennel had set a noble example before the geographers, in his chart of India, with its explanatory volume. Our fellow-citizen has worthily adopted the plan. It is to be hoped that there will be other followers and imitators; and that every valuable map, instead of being a mere exhibition of rivers, coasts, a few hills, and the civi! delineations, will carry on its front a larger portion of physical character, and in an accompanying document, a good body of geological, statistical, and historical information. Then geography will rise to its proper degree of importance.

In favour of the present performance, it may be observed, that the author is industrious, scientific, and intelligent; that he knows from actual observation fauch of the territory he describes; and that his acquaintance has been long and intimate enough to qualify him well for the task he has undertaken.

M.

The History of Little Henry and his Bearer. From the eighth English edition. New-York, E. B. Gould.

This is a child's book, designed to convey religious instruction, but we think not exactly adapted to the comprehensign of children.

Its tenets are those

generally denominated orthodox. The scene is laid in the East Indies, and the incidents of the story are connected with its locality, E.

The Theory of Moral Sentiments; or an Essay toward an Analysis of the principles, by which men naturally judge concerning the conduct and character, first of their neighbours, and afterwards of themselves: to which is added, a Dissertation on the Origin of Languages. By Adam Smith, L. L. D. F. R. S. From the last English edition, Boston, Wells and Lilly. Evo. pp. 250.

To give an analysis of this great work, on this occasion, cannot be expected; it is sufficient to say, that it is one of the standard works in English literature. The same comprehensive as well as discriminating mind, to which the world is indebted for the "Wealth of Nations," has been employed in the investigation and elucidation of "The Theory of Moral Sentiments," and it stands confessedly one of the most splendid monuments of profound and liberal inquiry, which any age or nation has produced. Though the subject, or rather the manner of treating st, is abstruse, yet the opinions of the book are well defined, the style is clear and animated, illustrated by great learning, and abounding in felicitous allusions. Great praise is due to the Boston publishers of this valuable work, not only for their enlightened spirit of enterprise, but for the correct and elegant manner in which the book is executed. We have seen a Philadelphia edition,published almost simultaneously, but which is in a much inferior style of workmanship, though it is charged at a higher price.

L.

Keep Cool, a Novel. Written in Hot Weather. By Somebody, M. D. C. &c. &c. &c. Author of Sundry works of great merit-Never published or read, from His-story. Reviewed by-Himself, Esquire." Baltimore. Joseph Cushing. New-York, Kirk & Mercein, 12mo. 2 vols. pp. 435.

We obtained this work at so late an hour that we have been able to run over only a hundred pages of it. We have not, therefore, sufficient grounds on which to pronounce a definitive opinion of its merits. From the title page we certainly received no favourable impression-the mock 'Review,' however, which contains some fair hits at us and our critical brethren, raised an expectation, which if it have not been defeated, has not been strength ened, by our progress in the work. Of

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the characters we know little, and of the story less. We discover many just thoughts, and some good writing-with frequent abortive attempts at wit, much vulgarity, numerous specimens of false eloquence, and not a few violations of grammar. In page 29 we have this sentence-"One thing seems very peculiar in dreams: it may be said with certainty, that no person ever saw the same face twice when they were asleep. They will dream of a person after," &c. In page 37, besides supping,' a low word for sipping, and 'twidling with his spoon,' for twidling his spoon, a very inelegant expression at best, we find the following unintelligible paragraph. "In love! by this thimble," cried Harriet, who saw the whole in a glass opposite, where she was pretending to work." Among the vulgar jokes are such expressions as these, "kicked to death by grasshoppers,' 99 6 like shot from a shovel,' a hurra's nest," a hen in a hurricane," &c. A lady's ringlets are flatteringly resembled to 'live worms,' p. 57. The same lady's mind is emphatically termed 'the_legitimate breathing of the Deity, chained to earth;" &c. p. 56. We have not adverted to one in ten of the errors we marked in the few pages which we perused. Yet we think we can discern indications of talent in the author, and are willing to attribute his blunders rather to haste than to ignorance. We shall feel bound to read the work through, and should we deem it worth while, will notice it hereafter. E.

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The Ethereal Physician; or Medical Electricity revived; its Pretensions fairly and candidly considered and examined, and its Efficacy proved, in the prevention and cure of a great variety of Diseases; with the details of upward of sixty cures in the short space of two years, in cases of Rheumatism, Headache, i'leurisy, Abscess, Quinsy, Piles, Incubus, &c. &c. with some Observations on the Nature of the Electric Fluid, and Hints concerning the best mode of applying it for Medical Purposes. No. 1. By Thomas Brown, Author of a History of the People called the Shakers. To which is added, a brief Account of its Medical Practice. By Jesse Everett. Albany, G. Loomis & Co. 8vo. pp. 64.

The author has taken occasion, in his title-page, to give a sufficiently full account of the object of his work; it only remains for us to relate how he has executed his undertaking. He lays no claim to the character of a scholar; he only professes to have ascertained, by actual

experiment, the efficacy of the electric fluid in the relief and cure of many diseases; and he certainly appears, though a plain man, to have proceeded according to an enlightened spirit of practical philosophy. He has fortified himself by numerous citations from the most learned and wise philosophers, that have written upon the subject of electricity, and has then gone on to do, what is necessary to all accurate knowledge and safe conclusions, make his experiments and faithfully relate them. There is, we confess, an appearance of quackery and empiricism in the book, but this is chargeable upon the manner in which it is drawn up, and should not be allowed to bring discredit upon the subject, nor upon the experiments of the author, if they are well authenticated; and we should advise him, in his succeeding numbers,―for this publication, he tells us, is only the first of a series, to state facts and relate cases with all the perspicuity and simplicity in his power, and spare himself the trouble of speaking of the conscientiousness of his endeavours or the piety of his motives. If men of science of accomplished minds and skill in experimenting would take up the subject of electricity as connected with medicine, and pursue it with as much zeal and fidelity as Mr. Brown has done, incalculable benefits might be expected to result from their labours; and if there

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be any truth in the cases stated in the book before us, it is high time men of systematic learning turned their attention this way, for the credit of science as well as the comfort of their fellow-creatures. L.

Reports of Cases argued and adjudged in the Supreme Court of the United States. February Term, 1817. By Henry Wheaton, Counsellor at Law. Volume II. pp. 527.

This volume is just issued from the press, and we have not had an opportunity to make an examination of its contents. The character of its predecessor, however, leaves us no doubt of the correctness and judgment with which it has been compiled and arranged. The importance of the decisions it records is sufficient to commend it to the attention of the gentlemen of the gown. The questions that come under the cognizance of the Supreme Court of the United States are of a multifarious nature, and involve very different interests. In the suits between individuals of the several States principles of the statute and common law, and of the law merchant, are determined, whilst in the maritime Causes, points of international law come under consideration, and decisions are had affecting the praetice of all commercial countries,

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ART. 16. MATHEMATICAL LUCUBRATIONS.

SOLUTION TO THE MATHEMATICALQUES- the usual method, we readily obtain the

As

TIONS IN OUR JULY NUMBER.

S we have not yet procured a sufficient quantity of the type necessary for printing complete solutions to the mathematical questions, we are obliged, for the present, to confine ourselves to such sketches of the solutions as can be given in common language.

SOLUTION TO QUESTION I.

The first of the given equation divided by the second, gives the difference of the numbers equal to 2, from which and the second equation, we find by a quadratic 2 and 1 for the numbers sought.

SOLUTION TO QUESTION II.

When this question is treated analytically, it leads to a quadratic formula, which must be a maximum; and by faking its differential, &c. according to VoL. I. NÓ, VỊ

required position.

This method of solution was given by X. of New-Haven. When the question is resolved geometrically we have only to remark, that when the two equal sides of an isosceles triangle are given, the area increases as the contained angle approaches in magnitude to a right angle: therefore, when the given cone is acute angled or right angled, the required section is along the axis, but when the cone is obtuse angled, the base of the required triangle is the diagonal of a square of which the side is the same with the slant side of the

cone.

This very simple construction was given by Analyticus. Mr. O'Shaunessey's solution was also of the geometrical kind.

SOLUTION TO QUES. III.

This question resolved by analytic geometry furnishes the equation of th P

cones, from which we deduce the two answers to the question by a quadratic in an easy manner. This is the method of solution by Analyticus, the proposer. Our other contributors who have solved this question, proceed geometrically, and observe, that the distances from the three given points to the foot of the perpendicular height are as the cotangents of the given angle of altitude, and are therefore. in a givea ratio. This point being found geometrically, which had been effected long ago, Simp. Alg. p. 336, the proposed problem is easily resolved.

SOLUTION TO QUES. IV.

This question is more difficult than any of the preceding, and could scarcely be resolved in a scientific manner, without having recourse to algebra; or if it could, the solution must require a great degree of ingenuity. The algebraic investigation terminates in a cubic equation with very complex coefficients, and gives the perpendicular depth of the ditch=9.10575 yards, and the expense $1000.03 1-2.

The solution to this question by X. O'Shaunessey, and O'Connor the proposer, were all neat, ingenious, and accu

rate.

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New questions to be answered in the Jan. Number.

Ques. 11, by Mr. M. O'Shaunessey, of Albany.

Given the area of the base, and the rectangle under the slant and perpendicular heights of a cone to determine its magnitude geometrically.

Ques. 12, by Mr. Michael O'Connor, New-York.

A globe is dropt into a conical glass full of water. It is required to find the quantity of water contained above, and also that contained below their circle of contact; the perpendicular height and diameter of the top of the glass, being respectively 6 and 9 inches, and the quantity of water discharged by the globe being a maximum.

Ques. 13, by X. of New-Haven.

On dropping a cannon ball into an upright parabaloidal cup filled with water; it it was observed that 3-4 of the diameter was immersed, and that it gained 6 pounds in weight; but on filling it again and putting in a second ball whose centre descended lower than that of the first, the gain was only 2 4-5 pounds; required the weight of water at first in the cup, allowing 62 1-2 pounds to the cubic foot, and supposing the specific gravity of iron to be 7 times as great.

Ques. 14, or Prize Question, by Analyticus of New-York.

Given the apparent diameters of a spherical meteor, as observed at the same instant from four given places on the surface of the earth; it is required to determine the magnitude of the meteor, its height above the surface of the earth, and its distance from each place of observation.

ART. 17. REPORT OF DISEASES TREATED AT THE PUBLIC DISPENSARY, NEW-YORK, DURING THE MONTH OF AUG. 1817.

ACUTE DISEASES.

(Inflammation of the Female Breast,) 1,

FEBRIS Intermittens, (Intermittent Gastritis, (Inflammation of the Stomach,) Fever,) 14; Febris Remittens, (Remittent Fever,) 7; Synocha, (Inflammatory Fever,) 1; Febris Continua, (Continued Fever,) 13; Febris Infantum Remittens, (Infantile Remittent Fever,) 15; Febris Puerperalis, (Puerperal Fever,) 1; Phlegmone, Inflammation,) 2; Phrenetis, (Inflammation of the Brain,) 1; Opthalmia, (Inflammation of the Eyes,) 7; Cynanche Tonsillaris, (Inflammation of the throat,) ; Trachitis, (Croup,) 2; Pneumonia, flammation of the Chest,) 3; Mastitis;

1; Hepatitis, (Inflammation of the Liver,) 2; Enteritis, (Inflammation of the Bowels-, 3: Rheumatismus Acutus, (Acute Rheu) matism,) 1; Cholera, 22; Dysenteria, (Dysentery,) 16; Convulsio, (Convulsions,) 2; Abortio, (Abortion,) 1; Erythema, 1; Erysipelas, (St. Anthony's Fire,) 3; Úrticaria, (Nettle Rash,) 3; Miliaria, 2; Pemphigus Infantilis, 1; Vaccinia, (Kine Pock,) 9; Morbi Infantiles, (Acute Diseases of Infants,)

CHRONIC AND LOCAL DISEASES.

stood as low as 54°, making a variation of Asthenia, (Debility,) 9; Vertigo, 7; Ce- 28° in the short space of 12 or 14 hours. phalalgia, (Head-ach,) 6; Dyspepsia, (In- The wind continued Northerly, throughdigestion,) 19; Gastrodynia, (Pain in out the remainder of the month; and the the Stomach,) 5; Enterodynia, (Pain in thermometer did not again indicate sumthe Intestines,) 4; Colica, (Colic,)5; Obsti- mer heat, until the 30th and 31st. The patio, (Costiveness,) 12; Paralysis (Palsy,) highest temperature of this period has 1; Trismus, (Locked-Jaw,) 1; Epilepsia, been 89°; lowest 54°; greatest diurnal (Epilepsy,) 1; Chorea, (St. Vitus's Dance,) variation, between sunrise and sunset, 1; Hysteria, (Hysterics,) 1; Ophthalmia 15°: mean temperature, at 6 o'clock in chronica, (Chronic inflammation of the the morning, 68°; at 2 in the afternoon, Eyes,); Bronchitis Chronica, 8; Asth- 78° and 52-100; at sunset 74° and ma et Dyspnea, (Asthma and Difficult 65-100-Greatest elevation of the merBreathing,)2; Phthisis Pulmonalis, (Pul-ury in the Barometer 30 inches 87-100; monary Consumption) 5; Rheumatismus Chronicus, (Chronic Rheumatism,) 15; Fleurodynia, 4; Lumbago, 4; Sciatica, 1; Hæmoptysis, (Spitting of Blood,) 5; Hæmatemesis, (Vomiting of Blood,) 1; Hæmorrhois, (Piles,) 1; Hæmorrhagia Uteri, 1; Menorrhagia, 2; Dysenteria Chronica. (Chronic Dysentery,) 9; Diarrhoa, 15; Leucorrhea, 2; Amenorrhoea, S; Dysmenorrhæa, 1; Dyslochia, 1;. Ischuria, (Suppression of Urine,) 1; Dysuria, (Difficulty of Urine,) 1; Nephralgia, (Pain in the Kidneys,) 2; Plethora, 4; Anasarca, (Dropsy,) 3; Ascites, (Dropsy of the Abdomen,) 1; Scrophula, (King's Evil,) 2; Tabes Mesenterica, 1; Vermes, (Worms,)8; Caligo, 1; Syphilis, 10; Urethritis Virulenta, 5; Paraphymosis, 1; Tumor 1; Hernia, 2; Stremma, (Sprain,) 2; Contusio, (Bruise,) 6; Vulnus, (Wound,) 4; Abscessus, (Abscess,) 5; Abscessus Lumborum, (Lumbar Abscess,) 1; Ulcus, (Ulcer,) 16; Ustio, (Burn,) 1; Odontalgia, (Tooth-ach,)18; Strophulus, 3; Lichen, 1: Pityriasis, 1; Psoriasis Veneria, 1; Purpura, 1; Erythema, 2; Impetigo, 1; Scabies et Prurigo, 18; Porrigo, 5; Herpes Zoster, 1; Aphthæ, 1; Eruptiones Variæ, 6.

August commenced with very little variation in the temperature of the atmosphere; and has been mostly a continuation of the sultry heats that were frequently experienced in July. The weather, until near the termination of the month, was uniformly warm, and sometimes hot and oppressive for a number of days in succession: the thermometer, at different times, marking 88° in the shade, at noon, and generally ranging between 80 and 86--After a long course of not days, a sudden and extensive vicissitude occurred on the morning of the 24th; when the wind, which, previously to this period, had blown almost constantly between the S. E. and S W., suddenly shifted to the N. accompanied with a little rain; and the thermometer, which on the preceding afternoon was at 82o in the shade, now

on the 11th, wind S. E. moderate, overcast: greatest depression, 29 inches; on the 4th, wind S., cloudy:-quantity of rain 8 inches and 53-100. During the whole of this month, there has been a total want of those thunder showers that usually pervade the summer season, and tend to renew and purify the atmosphere. The fervid rays of the sun were seldom obscured, or wholly intercepted by clouds; at least for a considerable time There has not, however, been a want of moisture; for, besides the south-east storm of the 11th and 12th, the 3d, 4th, 5th, 7th, 8th, 9th, 14th, 17th, 19th, 21st, 24th and 30th, were all more or less showery, or attended with transient falls of rain. The storm, which commenced about 10 o'clock, on the morning of the 11th, and continued to pour down incessantly till between 2 and 3 o'clock of the afternoon of the 12th, is acknowledged to have been the heaviest rain that has been known to have fallen for many years; amounting, by measurement, to full 6 inches on a level. The cisterns overflowed, and the cellars of many houses adjoining the docks, or situated in the low and more sunken parts of the city, and particularly in the neighbourhood of the Collect, were filled with water. This storm appears to have extended through the greater part of the United States; though not simultaneously, nor with the same degree of violence. Iu the southern and western states, it occurred on the 8th and 9th; and in some places was productive of material damage

From an extensive view of the diseases of this interval, it appears that the general health of the city is as favourable as is common at the conclusion of the summer season. The bills of mortality announce. a small increase of deaths; but, of these, a considerable proportion has been among children under two years of age; who, from the great mobility and tenderness of their systems, are peculiarly liable to be affected by the summer heats, and this

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