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tural fervour, we cannot but admire the have their convenience and their value, but practical example exhibited by Mrs. Gra- they were not designed to supersede eveham, whose fortitude, resignation, and ry other source of intelligence, nor do charity are worthy all imitation.

they affect to do it. Our own pretensions, E.

though somewhat higher, do not rise to A Concise View of the principal Points any loftier aim than to assist the general of controversy between the Protestant cause by calling attention to works that and Roman Churches. By the Rev. C. merit perusal, marking their excellences H. Wheaton, D. D. Rector of St. Mary's and noting their errors or defects. In fact, Church, Burlington, N. J.--An Address our criticisms can be appreciated only by to the Roman Catholics of the United those who are conversant with the subStates of America. By a Catholic Cler- jects of our scrutiny. We are, therefore, gyman.-A Reply to An Address to the directly interested in the wider diffusion of Roman Catholics of the United States that knowledge to which journals like of America. By the author of a Letter the present serve as pioneers. to the Roman Catholics of the City of E. Worcester.-A Short Answer to“ A True A Geographical Description of the Exposition of the Doctrine of the Catho- State of Louisiana : presenting a view of lic Church, touching the Sacrament of the soil, climate, animal, vegetable, and Penance, with the grounds on which mineral productions ; illustrative of its this Doctrine is founded,” contained in an natural physiognomy, its geographical Appendix to the Catholic Question de configuration and relative situation : with cided in the city of New-York, in July, an account of the character and manners 1813. By Charles H. Wheaton, D. D. of the inhabitants: being an accompani&c.--Some Remarks on Dr. O'Gallag- ment to the Map of Louisiana. By Wilher's · Brief Reply' to Dr. Wheaton's liam Darby. Philadelphia, John Melish. • Short Answer. By Charles H. Whea- New-York, Kirk and Mercein. 8vo. pp. ton, D. D. &c. New-York, David Long- 270. worth. 8vo.

Mr. Darby has given a very interesting These controversial tracts have been work on the Louisiana country and setcollected into a stout octavo, and offer an tlements. It consists of two parts, a map inviting repast to those who have a relish of the regions he describes, and a memoir for polemics. We do not interfere in dis- elucidating the map. Major Rennel had putes touching matters of faith.

set a noble example before the geographE.

ers, in his chart of India, with its explanaThe Journal of Science and the Arts. tory volume. Our fellow-citizen has Edited at the Royal Institution of Great worthily adopted the plan. It is to be Britain. New-York, James Eastburn & hoped that there will be other followers Co. Vol. I. No. I. Published Quarterly. and imitators; and that every valuable

It is a gratifying evidence of the state map, instead of being a mere exhibition of science in this country, that a work of of rivers, coasts, a few hills, and the civi! this kind should find a sufficient demand delineations, will carry on its front a larger to warrant its republication. We sincerely portion of physical character, and in an hope that adequate encouragement may accompanying document, a good body of induce its continuance. So far from feel- geological, statistical, and historical ining jealous at the introduction of new formation. Then geography will rise to periodical works into competition for pa- its proper degree of importance. tronage, we consider the extension of in favour of the present performance, it their circulation auxiliary to our own may be observed, that the author is insuccess. By it a taste for literature and dustrious, scientific, and intelligent ; that a spirit of scientific inquiry may be cre- he knows from actual observation rouch ated where they do not exist, and will of the territory he describes; and that only be increased where they are already his acquaintance has been long and intiimplanted. Could a desire be awakened mate enough to quality liim well for the in the great mass of the reading public' task he has undertaken. for any other information than is to be M. gleaned from the columns of a weekly The History of Little Henry and his print, our country would afford an ample Bearer. From the eighth English edition. support to numerous publications in the New-York, E. B. Gould. various departments of learning. We This is a child's book, designed to conshall never deserve the title of the most vey religious instruction, but we think enlightened people in the world' till we not exactly adapted to the comprehenread something besides neyrspapers. These sion of children. Its tenets are those

generally denominated orthodox. The the characters we know little, and of the scene is laid in the East Indies, and the story less. We discover many just incidents of the story are connected with thoughts, and some good writing with its locality.

frequent abortive attempts at wit, much E.

vulgarity, numerous specimens of false The Theory of Moral Sentiments; or eloquence, and not a few violations of an Essay toward an Analysis of the prin- grammar. In page 29 we have this senciples, by which men naturally judge con- tence-“ One thing seems very peculiar cerning the conduct and character, first of in dreams : it may be said with certainty, their neighbours, and afterwards of them- that no person ever saw the same face gelves: to which is added, a Dissertation twice when they were asleep. They will on the Origin of Languages. By Adam dream of a person after,” &c. In page Smith, L. L. D. F. R. S. From the last 37, besides supping,' a low word for English edition. Boston, Wells and Lilly. sipping, and 'twidling with his spoon,' Evo. pp. 250.

for twidling his spoon, a very inelegant To give an analysis of this great work, expression at best, we find the following on this occasion, cannot be expected.; it unintelligible paragraph. “In love! by is sufficient to say, that it is one of the this thimble," cried Harriet, who saw the standard works in English literature. whole in a glass opposite, where she was The same comprehensive as well as dis- pretending to work." Among the vulgar criminating mind, to which the world is jokes are such expressions as these, indebted for the “ Wealth of Nations," kicked to death by grasshoppers," " like has been employed in the investigation shot from a shovel," a hurra's nest," and elucidation of “ The Theory of Mo- “a hen in a hurricane," &c. A lady's ral Sentiments,” and it stands confessedly ringlets are flatteringly resembled to 'live one of the most splendid monuments of worms,' p. 57. The same lady's mind profound and liberal inquiry, which any is emphatically termed the legitimate age or nation has produced. Though the breathing of the Deity, chained to earth ;" subject, or rather the manner of treating &c. p. 56. We have not adverted to one He is abstruse, yet the opinions of the in ten of the errors we marked in the few book are well defined, the style is clear pages which we perused. Yet we think and animated, illustrated by great learn- we can discern indications of talent in the ing, and abounding in felicitous allusions. author, and are willing to attribute his Great praise is due to the Boston publish- blunders rather to haste than to ignoers of this valuable work, not only for rance. We shall feel bound to read the their enlightened spirit of enterprise, but work through, and should we deem it for the correct and elegant manner in worth while, will notice it hereafter. which the book is executed. We have seen E. a Philadelphia edition,published almost si- The Ethereal Physician ; or Medical multaneously, but which is in a much in- Electricity revived ; its Pretensions fairly ferior style of workmanship, though it is and candidly considered and examined, charged at a higher price.

and its Efficacy proved, in the prevention L.

and cure of a great variety of Diseases ; Keep Cool, a Novel. Written in Hot with the details of upward of sixty cures Weather. By Somebody, M. D. C. &c. in the short space of two years, in cases &c. &c. Author of Sundry works of of Rheumatism, Headache, i'leurisy, Abgreat merit-Never published or read, scess, Quinsy, Piles, Incubus, &c. &c. from His-story. Reviewed by-Himself, with some Observations on the Nature of

Esquire." Baltimore. Joseph Cushing. the Electric Fluid, and Hints concerning New-York, Kirk & Mercein, 12mo. 2 the best mode of applying it for Medical vols. pp. 435.

Purposes. No. 1. By Thomas Brown, We obtained this work at so late an Author of a History of the People called hour that we have been able to run over the Shakers. To which is added, a brief only a hundred

of it. We have not, Account of its Medical Practice. By therefore, sufficient grounds on which to Jesse Everett. Albany, G. Loomis & pronouncea definitiveopinion of its merits. Co. 8vo. pp. 64. From the title page we certainly receiv- The author has taken occasion, in his ed no favourable impression--the mock title-page, to give a sufficiently full ac* Review,' however, which contains some count of the object of his work ; it only fair hits at us and our critical brethren, remains for us to relate how he has exeraised an expectation, which if it have cuted his undertaking. He lays no claim not been defeated, has not been strength- to the character of a scholar: he only ened, by our progress in the work. Of professes to have ascertained, by actual experiment, the efficaey of the electric be any truth in the cases stated in the fluid in the relief and cure of many book before us, it is high time men of diseases; and he certainly appears,though systematic learning turned their attention a plain man, to have proceeded according this way, for the credit of science as well to an enlightened spirit of practical phi- as the comfort of their fellow-creatures. losophy. He has fortified himself by nu- L. merous citations from the most learned and wise philosophers, that have written

pages

Reports of Cases argued and adjudged upon the subject of electricity, and has States. February Term, 1817. By

in the Supreme Court of the United then gone on to do, what is necessary to all accurate knowledge and safe conclu- Henry Wheaton, Counsellor at Law.

Volume II. pp. 527. sions, make his experiments and faithfully relate them. There is, we confess, an

This volume is just issued from the appearance of quackery and empiricism press, and we have not had an opportuniin the book, but this is chargeable upon ty to make an examination of its contents. the manner in which it is drawn up, and The character of its predecessor, howshould not be allowed to bring discredit ever, leaves us no doubt of the correctness upon the subject, nor upon the experi- and judgment with which it has been ments of the author, if they are well au- compiled and arranged. The importance thenticated ; and we should advise him, of the decisions it records is suficient to in his succeeding numbers,—for this pub- commend it to the attention of the genlication, he tells us, is only the first of a

tlemen of the gown. The questions that series,-to state facts and relate cases

come under the cognizance of the Suwith all the perspicuity and simplicity in preme Court of the United States are his power, and spare himself the trouble

of a multifarious nature, and involve very of speaking of the conscientiousness of his different interests. In the suits between endeavours or the piety of his motives. individuals of the several States principles Ifmen of science-ofaccomplished minds

of the statute and common law, and of and skill in experimenting would take up

the law merchant, are determined, whilst the subject of electricity as connected

in the maritime Causes, points of interwith medicine, and pursue it with as much national law come under consideration, zeal and fidelity as Mr. Brown has done,

and decisions are had affecting the practincalculable benefits might be expected tice of all commercial countries, to result from their labours; and if there

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ART. 16. MATHEMATICAL LUCUBRATIONS.

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SOLUTION TO THE MATHEMATICAL QUES- the usual method, we readily obtain the TIONS IN OUR JULY NUMBER. required position.

This method of solution was given by S we have not yet procured a suffi- X. of New-Haven. When the question for printing complete solutions to the ma- remark, that when the two equal sides of thematical questions, we are obliged, for an isosceles triangle are given, the area inthe present, to confine ourselves to such creases as the contained angle approaches sketches of the solutions as can be given in magnitude to a right angle: therefore, in common language.

when the given cone is acute angled or SOLUTION TO QUESTION 1.

right angled, the required section is along The first of the given equation divided the axis, but when the cone is obtuse by the second, gives the difference of the angled, the base of the required triangle numbers equal to 2, from which and the is the diagonal of a square of which the second equation, we find by

a quadratic side is the same with the slant side of the 2 and 1 for the numbers sought.

This very simple construction was given SOLUTION TO QUESTION II. by Analyticus. Mr. O'Shaunessey's soWhen this question is treated analyti- lution was also of the geometrical kind. cally, it leads to a quadratic formula,

SOLUTION TO QUES. III. which must be a maximum; and by This question resolved by analytic gefaking its differential, &c. according to ometry furnishes the equation of three VOL: I. NO, VI,

SP

cone.

cones, from which we deduce the two New questions to be answered in the answers to the question by a quadratic in Jan. Number. an easy manner. This is the method of Ques. 11, by Mr. M. O'Shaunessey, of solution by Analyticus, the proposer. Our Albany. other contributors who have solved this Given the area of the base, and the question, proceed geometrically, and ob- rectangle under the slantand perpendicuserve, that the distances from the three lar heights of a cone to determine its masgiven points to the foot of the perpen- nitude geometrically. dicular height are as the cotangents of the Ques. 12, by Mr. Michael O'Connor, given angle of altitude, and are therefore. New-York. in a givea ratio. This point being found A globe is dropt into a conical glass full geometrically, which had been effected of water. It is required to find the quanlong ago, Simp. Alg. p. 336, the pro- tity of water contained above, and also posed problem is easily resolved.

that contained below their circle of conSOLUTION TO QUES. IV.

tact; the perpendicular height and diameThis question is more difficult than any ter of the top of the glass, being respec. of the preceding, and could scarcely be tively 6 and 9 inches, and the quantity of resolved in a scientific manner, without water discharged by the globe being a having recourse to algebra ; or if it could, maximum. the solution must require a great degree Ques. 15, by X. of New Haven. of ingenuity. The algebraic investiga- On dropping a cannon ball into an upLion terminates in a cubic equation with right parabaloidal cup filled with water; it very complex coefficients, and gives the it was observed that 3-4 of the diameter was perpendieular depth of the ditch=9.10575 immersed, and that it gained 6 pounds in wards, and the expense $1000.03 1-2. weight; but on filling it again and putting

The solution to this question by X. in a second ball whose centre descended O'Shaunessey, and O'Connor the pro- lower than that of the first, the gain was poser, were all neat, ingenious, and accu- only 2 4-5 pounds ; required the weight of rate.

water at first in the cup, allowing 62 1-2 We are indebted to the following gen- pounds to the cubic foot, and supposing tlemen for their solutions to the above the specific gravity of iron to be 7 times questions.

as great. Mr. Michael O'Connor, N. Y. Mr. M. Ques. 14, or Prize Question, by AnaO'Shaunessey, Albany; and X. of New- lyticus of New-York. Haven; each ingeniously answered all Given the apparent diameters of a sphethe questions.

rical meteor, as observed at the same inAnalyticus, of New-York, answered 1, stant from four given places on the sur2, 3.

face of the earth; it is required to deterMr. Bart. M'Gowan, New-York, an- mine the magnitude of the meteor, its şwered 1, 2, 4.

height above the surface of the earth, and M. T. of New-York, and J. W. of Bal- its distance from each place of observatimore, answered 1st.

tion.

ACUTE DISEASES.

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

(Inflammation of the Female Breast,) 1, F TEBRIS Intermittens, (Intermittent Gastritis, (Inflammation of the Stomach,)

Fever,) 14; Febris Remittens,(Remit- 1; Hepatitis, (Inflammation of the Liver,) tent Fever,) 7; Synocha, (Inflammatory Fe- 2; Enteritis, (Inflammation of the Bowels-, ver,) 1; Febris Continua, (Continued Fe- 3: Rheumatismus Acutus, (Acute Rheu) ver,) 13; Febris Infantum Remittens, (In- matism,) 1; Cholera, 22; Dysenteria, fantile Remittent l'ever,) 15 ; Febris Puer- (Dysentery,) 16; Convulsio, (Convulsions,) peralis, (Puerperal Fever,)1 ; Phlegmone, 2; Abortio, (Abortion,) 1; Erythema, 1; (Inflammation,) 2; Phrenetis, (Inflamma- Erysipelas, (St. Anthony's Fire,) 3; Urtion of the Brain,) 1; Opthalmia, (In- ticaria, (Nettle Rash,) 3; Miliaria, 2; flammation of the Eyes,) 7; Cynanche Pemphigus Infantilis, 1 ; Vaccinia, (Kine Tonsillaris, (Inflammation of the throat,) Pock,) 9; Morbi Infantiles, (Acute Dis4; Trachitis, (Croup,) 2; Pneumonia, eases of Infants,) 34 Inflammation of the Chest,) 3; Mastitis;

CIITOXIC 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. plialalgia, (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,) i ; 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,) 8; Bronchitis Chronica, 8 ; Asth- 78o and 52-100; at sunset 74o and ma et Dyspnea, (Asthma and Difficult 65-100:-Greatest elevation of the merBreathing;) 2 ; Phthisis Pulmonalis, (Pul- eury in the Barometer 30 inches 87-100; monary Consumption) 5 ; Rheumatismus on the 11th, wind S. E. moderate, overChronicus, (Chronic Rheumatism,) 15; cast: greatest depression, 29 inches; on Fleurodynia, 4; Lumbago, 4; Sciatica, the 4th, wind s., cloudy :-quantity of 1; Hæmoptysis, (Spitting of Blood,) 5; rain 8 inches and 53-100. During the Hæmatemesis, (Vomiting of Bloody) 1; whole of this month, there has been a toHæmorrhois, (Piles,) 1; Hæmorrhagia tal want of those thunder showers that Uteri, 1; Menorrhagia, 2; Dysenteria usually pervade the summer season, and Chronica. (Chronic Dysentery,) 9 ; Diarr- tend to renew and purify the atmosphere. kæa, 15; Leucorrhea, 2; Amenorrhea, The fervid rays of the sun were seldom S; Dysmenorrhæa, 1; Dyslochia, 1; Is- obscured, or wholly intercepted by churia, (Suppression of Urine,) 1 ; Dysu- clouds ; at least for a considerable time ria, (Difficulty of Urine,) 1; Nephralgia, There has not, however, been a want of (Pain in the Kidneys,)" 2 ; Plethora, 4; moisture; for, besides the south-east Anasarca, (Dropsy,) 3; Ascites, (Dropsy storm of the 11th and 12th, the 3d, 4th, of the Abdomen,) 1; Scrophula, (King's 5th, 7th, 8th, 9th, 14th, 17th, 19th, 21st, Evil,) 2 ; Tabes Mesenterica, 1 ; Vermes, 24th and 30th, were all more or less (Worms,) 8; Caligo, 1 ; Syphilis, 10; Ure- showery, or attended with transient falls thritis Virulenta, 5; Paraphymosis, 1; of rain.—The storm, wbich commenced Tumor 1; Hernia, 2; Stremma, (Sprain,) about 10 o'clock, on the morning of the 2; Contusio, (Bruise,) 6; Vulnus, (Wound,) 11th, and continued to pour down inces4; Abscessus, (Abscess,) 5; Abscessus santly till between 2 and 3 o'clock of the Lumborum, (Lumbar Abscess,) 1; Ulcus, afternoon of the 12th, is acknowledged to (Ulcer,) 16; Ustio, (Burn,) 1'; Odontal have been the heaviest rain that has been gia, (Tooth-ach,)18; Strophulus, 3; Lich- known to have fallen for many years ; en, 1: Pityriasis, 1; Psoriasis Veneria, 1; amounting, by measurement, to full 6 Purpura, i ; Erythema, l; Impetigo, 1; inches on a level.—The cisterns overflowScabies et Prurigo, 18; Porrigo, 5; ed, and the cellars of many houses ad. Herpes Zoster, 1; Aphthæ, 1; Eruptio- joining the docks, or situated in the low pes Variæ, 6.

and more sunken parts of the city, and August commenced with very little va- particularly in the neighbourhood of the riation in the temperature of the atmos- Collect, were filled with water. This storm phere; and has been mostly a continua- appears to have extended through the tion of the sultry heats that were frequent- greater part of the United States; though ly experienced in July. The weather

, not simultaneously, nor with the same until near the termination of the month, degree of violence. Iu the southern and was uniformly warm, and sometimes hot western states, it occurred on the 8th and and oppressive for a number of days in 9th; and in some places was productive succession : the thermometer, at different of material damage times, marking 88° in the shade, at noon, From an extensive view of the diseases and generally ranging between 80 and of this interval, it appears that the gene86°--After a long course of not days, a ral health of the city is as favourable as is sudden and extensive vicissitude occurred common at the conclusion of the summer on the morning of the 24th ; when the season.-The bills of mortality announce wind, which, previously to this period, a small increase of deaths; but, of these, had blown almost constantly between the a considerable proportion has been among S. E. and S W., suddenly shifted to the children under two years of age; who, N. accompanied with a little rain; and from the great mobility and tenderness the thermometer, which on the preceding of their systems, are peculiarly liable to afternoon was at 890 in the shade, now be afferted by the supraer heats, and this

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