less." could assume, whether all the poor Indians of cimen of his power in the pathetic, we this country were converted? Whether the soul cannot resist ihe temptation to quote the of a Pottawottomy was not as well worth saving following short account of the life, chaas that of a Hottentot ? duty to God and their country would not be quite racter, and death of a Quaker lady. Afas well fulfilled, by converting dangerous and ter some excellent, racy remarks on the bloody savages at our doors, into mild and manners and character so frequently peaceable Christian neighbours, as by going 10 the East for that purpose ? Lord, Sir, re assumed by young clergymen, the author plied the lady, nobody thinks of matters so thus indulges his contemplative mood. irar at home. Besides, the Missionary. Maga * Having two or three hours to spare till dinzines, and Reviews, don't say half as much ner, we rambled about the church-yard, readabout our Indians as they do about the Holten- ing the records of mortality, which, ihough evetots and Hindoos.' This was conclusive; so I ry where confined to a few simple items, conpaid my contribution for the conversion of the cerning a few insignificant people, are always poor Hottentots, in hopes of getting into the interesting. They are the history of high and Missionary Magazine. low; and none can read them without being im. “ After this rencontre I went out, leaving die pressed with a conviction that all are his brothers cections with the servant to note if any suspi al lasi-for all die. He who moulders below cious persous knocked in my absence. On my was born,-and died ; and whether rich, or a return he informed me that six ladies, with beggar, his short history is that of kings. The subscription-books, had called during the re- struggles of restless ambition, the reverses of mainder of the morning, the great, and the story of the wreck of lotiy " I hope by this time you begin to compre- pride, we read as an interesting romance, adbend what I mean; to wit, that the distribution dressing itself solely to the imagination : but of public charities ought to be in the hands of when a monarch or a hero dies, he becomes our public officers, acquainted with the world, and equal; his death is an example cqually with that able to detect imposture of every kind. li will of the meanest mortal ; and we here realize old then be bestowed with a wariness and circum- common nature, and common end. spection, which, while it operates as far as is pos “ While poring over these loinbstones, our atten. sible to the relief of virtuous distress, does not tion was attracted by a long cavalcade, on foot, encourage and pamper idleness and debauchery. on horseback, and in carriages of various kinds, I can hardly believe these good ladies, to whose winding slowly over one of the hills at a distance. desire to do good I give every due praise, do It came towards the church-yard, entered it, and really benefit mankind by taking from the stopt at a large oak, under which was a newly pockets of the good to bestow on the worth- dus grave we had not noticed before. The peo ple of the village were attracted by it, and came up, one after another, until there were; I The sentiments of these letters, with suppose, two hundred, men, women, and chilwhich we least accord, are those in re- dren, gathered together. Without a whisper, gard to the cultivation of the physical except that of the oaks around, the coffin was sciences. On this subject the author and covered with earth. I never witnessed a has allowed his satire to flow too freely, silence more solemn and affecting; and beantiand in his reprehension of the follies of ful as is our church funeral service, I will ven. philosophers, has indulged a contemptu lure to say it never raised a feeling of more deep and awtul devotion than that which impressed ous manner toward some of the greatest the dead silence around. There was no need of and most deserving men of the age, en- saying “ dust to dust :” every clod of earth, as tirely unjust to them, and altogether un- it fell hollowly on the coffin, proclaimed that ; worthy the general liberality of his views neither was any proof wanting that “ man wiio is born of a woman," must die, for a thousand and magnanimity of his feelings. little hillocks around gave silent testimony to the Our author's account of the papër fact. When the mound over the grave was money system of this country, contains a smoothed with pious care, a little buzzing ran great deal of mournful and momentous through the crowd and as it slowly separated, truth, and cannot be too effectual in ex some ventured to talk about the deceased perciting our citizens to ponder upon the son, who was, I found, a Quaker lady, who died-as others die, of soine common malady or consequences of that rabid spirit of spe- other. She was neither a belle nor a beauty ;culation, which has already commenced no crowd ever followed her at a ball, nor could its devastations, and is going on to shake I learn that she had ever received a single offer our social fabric to its deepest foun- of marriage, except from the person we had left still stauding by her grave. Yet there was some. dations, thing in the story I learned of her, that affected The genius of our author is not a little me, I can hardly tell why, for ií was not the versatile; he can, with much ease and least romantic. grace, pass from the sarcastic and in- “ It seems that her husband, in consequence of dignant reprehension of vice, or the fore been confined in a prison for debi, leaving imprudence or misfortune, had several years besprightly and cutting raillery of folly, to a family of eight children destitute. By the the most deep-felt enjoyment and poeti- rare magic of industry and economy united, cal description of the retired and tran- this woman, by her own labours, kept the quil scenes of nature, or the delineation Jittle ones together,-fed, clothed, and sent them to school, of the mild, benignant, and placid fea- took fire, and the prisoner walked home. Here until the gaol accidentally tures of domestic life. As a beautiful spe- bro afterward remained unmolested, for the virtue of his wife bad sanctified his person. former publications. Per representaThere is a species of calın, persevering, tions of low character are drawn with a courageous, and unconquerable industry, that gets the better even of fate. Such, it seems, vigour and facetiousness that evince her was the industry of this valuable woman, and familiarity with the species ; but in her it was rewarded even in this world. She lived, delineations from the polished world, she God bless her,-10 see her husband independent, is often and obviously at fault, continuand to share many years of independence with ally mistaking vulgar grossness and bim. honourably settled, aral heard the old people pough raillery for elegant wit and refined say, that whatever had been her sacrifices for humour: throughout her attempts of them, they had repaid her, by their dutiful af- this description, there is too much horse. fệction, and exemplary conduct. Then when play ; while occasionally, she rushes in. she at last died, neither poe! made her an angel, to scepes, and ventures upon allusions itor newspaper eulogy a saint ; but the neighbours,—the neighbours, followed her to the very suitable indeed to the pages of grave witboul uitering a word,—and the husband Tom Jones and Roderick Random, but and children stood round it with their faces co- altogether inconsistent with that chastevered. “ Now, if this little true story wants a moral, ness of sentiment, and delicacy of lanI think it will easily be found. For my part, guage, which ought to characterize the cannot help believing this simple Quaker woman the works of female writers. was a more valuable being, and fulfilled her G. duties far more to the benefii of society, than if she had been a member of as many charitable The Essenee of English Grammar, by societies as aunt Kate and had refused as many Samuel Houston, A. B. Principal of Rufools as a lady I once heard of in Virginia. I ral Valley Seminary in Rockbridge, Virtrusive, suffering, fire-sico virtue, as far pre ginia. Harrisonburg, Lawrence Wartferable to the public and ostentatious newspa mann. 12 mo. pp. 49. per charity, which, in the present time, stalks bravely forth, and beckons every worthless va- This essence of English Grammar, as gabond to its shrive from Europe, Asia, Africa, distilled through the alembic of Mr. Housaud America." ton's brain, is a product as different from the material, as whiskey is from rye. There ait numerous grammatical er- After whose prescription "it was comrors, which we are surprised should have posed,” (to borrow an expression of the escaped the notice of ihe author, and an author, when speaking of elegant compor ocasional slovenliness of style that looks sition,) we know not, but imagine that the like affectation; still, we think the “ Let- diligent and exclusive study of Hannah ters from the South,” well calculated to Glasse's recipes might enable one to prostrengthen the bonds ofour union by weak- duce something very like it. ening seetional prejudice, and rendering E. all parts of our country mutually amiable in the eyes of Americans; and we eordially A Grammar of Moral Philosophy, and recommend it to general perusal, L. Natural Theology, with a summary of the Evidences of Christianity, abstracted The Balance of Comfort; op, the Old chiefly from the works of Dr. Pales: Maid and Married Woman. Á Novel. To which are subjoined Questions and By Mrs. Ross, author of the Marchioness, Tables, adapted to the study of the sacred &c. &c. 2 vols. New-York. 1817. seriptures. By the Rev. J. W. Baker. New-York, David Longworth, Ilmo. Something superior to the mass of 248 pp. similar publications, our readers must not expect to meet with many traits of su- into small compass and in a discreet af: This is a judicious abstract, bringing perlative excellence in the volumes before us. Indications of a tolerably extensive, matter on the subjects treated, and would rangement, much of the most important if not very delicate and discriminating, form a good text-book for the older and acquaintance with the ordinary varieties of every-day life, are by no means unfre more adyanced scholars in our principal schools. quent; and the faeility and liveliness with whieb they are touched off, would be Longworth's Pocket Almanack, and amusing enough, were the outlines more New-York and United States Kalendar, gracefully sketehed, and the tints deeper for 1818. New-York, David Longworth, and more determinate. With the digni 32mo. fied incident and dietion of the higher This is a very convenient Register, class of modern novels, it would be ridicu- comprising mueh information of everja Jours to compare a production, which the day use. authoress evidently intended to occupy its unambitious station by the side of her THE TOUCHSTONE, OP WORLD AS IT L GOES ; a Comedy in four acts, as per- Musical Drama, in three acts, as performed at the Theatre Royal, Drury- formed at the Theatre Royal, Drury Lane. By James Kenny, New-York, Lane. By R. Hamilton. New-York, David LONGWORTH, 12mo, pp. 77. David LÖNGWORTH, 12mo. pp. 53. THE MERRY WIVES OF WINDSOR, a Tue Devil's Bridge, an Opera, in Comedy, in five acts, as performed at three acts. By Samuel James Arnold. the Theatres Royal, Drury-Lane and New-York, David LONGWORTH, 12mo. Covent-Garden. By William Shak- pp. 57. speare. New-York, David LONGWORTH, LOVE IN A VILLAGE, a Comic Opera, 12mo. pp. 75. in three acts. By Isaac Bickerstaff. NewElphi Bex, or THE ARAB's Faith, a York, David LONGWORTH, 12mo.pp.64. Art. 15. MATHEMATICAL LUCUBRATIONS, 2m Solution to Ques, 5, by Mr. Shannessy myi of Albany. stitution and division via + y2 = Let the co-efficient of x=s, and that of y = 1: whence 'tis evident that the By involution, transposition and division, 4m2 ja co-efficient n of the second term of the This equation by even given formula is = st*: 32-ns=-1, 72924m2 whence by completing the square, &c. lution will be i= 2my of which 8=+ VR - 1, and therefore the factors vn?y? + 4m3 the fluents, by notation and form 9th of required are 5+ v?? -- 1.1 – y and + Qmn EMERSON's table of fuents, are r= +1 -1.1-y. x hyper. log. of yt vya + 4m3 which Solution to the same, by X. of New-Haven. If a and b he the roots of the equation is the required equation of the curve. z? — uzy+yo =0, x—a and r—b are the factors required ; since whatever be the Solution to the same, by a disciple of value of the given expression, their pro Newton. duct must always be equal to it. To find To find the equation of a curve such, these roots, we have, by completing the that the contents of the solid, formed by square, za —ury+ } u?y* = (^u? –1) the curve, and ordinate about a variayt; from which the roots are found, ble absciss, shall be in a constant ratio quy+y V £— 1 and Guy-y Vļu” – 1. to its curve superficies--Let x be the abHence the required factors are r—y. sciss, and y the ordinate, and let z repre sent the length of the curve to the absciss gut v qu? - 1,& r-y-su- £u? - 1; I, which multiplied together will be found that 2pydz expresses the differential of let p=5.1416; then it is well known to re-produce the given expression... the curve superficies, and pydr expresses When u<2, these factors are necessarily the differential of the solid contents ; supimaginary, although the imaginary parts pose that the solid is to its curve superdisappear in the product. ficies as m to n, then since this proportion is constant, it follows that py3dx : 2pydz Solution to Ques. 6, by M. O'Connor, Nero ::m:n:;'ydxn=2dzm, whence ydxx York. Let x, y and z denote the absciss, ordi =dz let =a then we have ydra nate, and curve respective, and i, ý andż 2m their respective fluxions-put a=7854, =d:=vdy+dt?.y?dr?a2=dy? + and c=3.1416. Then Jay- i=cy?r= dra whence (yaaa – 1dr’=dys and the fluxion of the solid, and 2cyz= the dy dy dr= whose infuxion of the superficies. Now these fluxions, in every position of the genera V y2a2 -1=avy2 -1 2 ting circle 2cy will be in the constant ratio of m to n, because by the question their hl (y+ vy? fuents must be in that ratio ; therefore tegral gives r= which m:n:: cyoc: 2cyż :: yr: 2ż; hence 2mž needs no correction ; for when y=or= =myr but z =Vi3+ 39. Hence by sub-, hlav-1= an imaginary quantity, 2m a the equa a a2 hl(y+ Vy2-2) therefore I= Solution to Question 8, by M. O'Connor, Nero-York. tion of the curve. The expression for the solidity of the solid, generated by the Since the sun's declination, July 4th, revolution of the above curve, about its 1817, is 220 55', it is plain that the sun's axis, equals play Vy2 4 2-1+hl(y+ of which the vertex is at the earth's cen2a tre, whose axis is coincident with that of р Vy? - 2) the curve superficies = the earth, and whose side forms with its axis at said vertex an 4 of 670 05'. Ta. (ay Vyaa2–1+hl(y+ vy2 -- ) The king the lat. of N. York=10° 43', its comp. 19° 17' = the < the horizon of length of the curve z=vay?-1 and N. York makes with the cone's base, and this being greater than 290 55' (= sun's declination, the 4 which the cone's its area = Va2y3 – 1. side makes with its base, the intersection of the cone and said horizon must be an hyperbola ; and all cones described by Solution to Question 7, by a disciple of the same ray must evidently be similar, Newton. and cut by the same horizon, must proLet DED duce like curves. Now the which the be the given sun's meridional ray makes with the circle, and A horizon in a meridional direction is = the B the right supplement of half the cone's vertical line given in added to the lat. of N. York = 720 121 position. At = the sun's altitude at noon, And since the point B, the earth's radius is very small compared in the right with its distance from the sun, the solar line A B, let ray, which by means of the summit of the angle A the edifice marks the vertex of the given BN be made transverse axis, may be regarded as coequal to the incident with and equal to the said merigiven angle, dional central ray, the former and latter through the necessarily make one and the same 2 of centre, C, 720 12' with said horizon. Now this ray, draw CF pa during the time it describes the curve of rallel to BN, which the axis is given, describes porand draw C tions of two opposite cones, which have A perpendi their common vertex at the summit of cular to CF, the edifice, and it is the intersection of meeting AB the horizon with the northern cone that in A', divide forms the curve in question, which, as we CF into two have shown, must be an hyperbola; also, parts in L, SO these cones are similar to the first cone, and the horizon cuts them at the same angles as the first. And the distance on be FL:CL:n: then join A'L, the plane of the horizon in the direction intersecting the circle in K, through K of the meridian between the points when KG will be the line required; for since transverse axis. Imagine a vertical plane MG is parallel to‘CF, one side of the through the axis of these cones, and its intersection with both and the horizon triangle AFC, and is cut by A'L, we forms a A of which two sides are beshall have FL:CL::GK:KM:..GK: tween the horizon and their common KM::N: :: GK:2 KM::n:m-n, vertex; and the 3d, the given axis upon the horizon ; in which we have given, but 2KM=KH for A'C being perpen- besides the axis, the at the vertex = dicular to the chord KH bisects it: GK: twice the sun's declination 45° 50', KH::n:m-n, and (per composition) and one of the angles at the horizon = GK:GM+KH::n :m, the supplement of 720 12' the sun's alti::n: m and GH:GK::m : n.....QEI. tude = 107.48, to find by trigonometry that is GK:GH D that it may be mn feet feet feet feet the side between said and the vertex, curve a whose vertical _ shall equal 2X sun's declination, and one of the Thus, sin. 450 50': sin. 26° 29' :: 250: angles at the base=sum of latitude, and 154.8; and lastly, radius 1 : sin. sun's al- sun's polar distance, the perpendicular let fall from vertical angle upon the base titude 720 12 :: 154.8 : 147.4, the re- (produced if necessary) shall be the quired height. height of the tower. Calculation, As sine 220 55' x Rads. Solution to the same, by B. M Goroan, 19 855711. New-York. : 490 18'-220 55' X sine 49° 18' x 290 15'. 19 626486. :: Transverse axes, 250 feet, 2 397940 PRIZE QUESTION It is required to determine geometriA :D cally an arc of a given circle, such that B its sine may be equal to the excess of Upon a base=transverse ases, of the its secant above the radius. TO BE ANSWERED IN THE APRIL NUMBER. Art. 16. REPORT OF DISEASES TREATED AT THE PUBLIC DIS. PENSARY, NEW-YORK, DURING THE MONTH OF NOV. 1817. ACUTE DISEASES. moptysis, (Spitting of Blood,) 1; Menor. , " Fever,) 1; Febris Remittens, (Remit- enteria Chronica, (Chronic Disentery,) tent Fever,) 6; Febris Continua, (Con- 4; Diarrhea, 7; Leucorrhea, 1; Ametinued Ferer.) 8; Febris Ephemera, norrhea, 3; Dysuria, (Difficulty of Urine,) (Ephemeral Fever,) 1; Fehris Infantum 1; Lithiasis, (Gravel) 1; Anasarca, Remittens, (Infantile Remittent Fever,) 7; (Dropsy,) 1; Ascites, (Dropsy of the AbHernia Humoralis, 1 ; Ophthalmia, (In- domen,) 1; Hydarthrus, (White Swelling,) fiammation of the Eyes,)2; Cynanche Ton- 1; Vermes, (Worms,) 2; Syphilis, 11; sillaris, (Inflammation of the Throat,) 4; Urithritis, 4; Phymosis, 1 ; Hernia ConCatarrhus, (Catarrh,) 4; Bronchitis, (In- genita, (Congenital Hernia) 1; Luxatio flammation of the Bronchic,)1; Pneumonia, (Dislocation,) 1; Contusio, (Bruise,) 12; (Infammation of the Chest,) 8; Enteritis, Ustio, (Burn,) 1: Abscessus, (Abscess,) (hiflammation of the Intestines.) 4; Rheu- 2; Ulcus, (Ulcer,) 10; Psoriasis, 1; Urinatismus Acutus, (Acute Rheumatism,) ticaria, (Nettle Rash,) 1 ; Erythema, 2; 1; Urticaria, (.Vettle Rash,) 1; Erysipelas, Porrigo, (Scalled Head,) 6; Impetigo, 1; (St. Anthony's Fire,) 1; Variola, (Small Scabies et Prurigo, 18; Eczema MercuPor,) 8; Vaccinia, (Kine Pock.) 18; riale, 1; Aphthæ, 1; Eruptiones Variæ, 3. Convulsio, (Convulsions,) 1. The temperature of this month has been generally uniform, and exceedingly Asthenia, (Debility,) 1; Vertigo, 3; mild. The winds have been part of the Cephalalgia, (Head-Ach,) 7; Dyspepsia, time from N. E. and N. W, but more (Indigestion,) 7; Gastrodynia, (Pain in commonly between S. E. and S. W. the Stomach,) 2; Obstipatio, 4; Colica, There have been some foggy evenings (Colic,) 9; Hysteria, (Hysterics,) 1; Pal- and mornings:-a few inconsiderable rains, pitatio, 1 ; Hypochondriasis, 1 ; Ophthal- and heavy ones on the 1st and 2nd, and mia Chronica, (Chronic Inflammation of the on the 17th and 18th ; the whole quantity Eyes,) 3; Pharyngitis Chronica, (Chronic that has fallen nearly 6 inches on a level. Inflammation of the Throat,) 2 ; Catarrhus The highest temperature of the morning Chronicus, (Chronic Catarrh,) ? ; Bron- has been 60°, lowest 29°, mean 420 ; chitis Chronica, 4; Phthisis Pulmonalis, highest temperature of the afternoon 599, (Pulmonary Consumption,) 1 ; Rheuma- lowest 32°, mean 490.6 :-highest temtismus Chronicus, (Chronic Rheumatism,) perature of the evening 64°, lowest 30°, 0; Pleurodynia, 4; Lumbago, 3; Hæ- mean 470.6 :-greatest diurnal variation CHROXIC AND LOCAL DISEASES. |