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Mr. Hooke on the Chance of drawing Balls. [Feb. 1, er it will be expressed by the number 156, according as the comet is direct or 70; and the velocity produced by the, retrograde; but in this case, to this ve
locity must be added that required to explosion of a planet will be and
overcome the action of gravity, or the
attraction of the Earth, which will dimias we have seen the maximum of m to be nish the effect of the explosion, and alter V 3 for direct comets, and v5 for re a little the elements of the orbit. It ograde comets, the maximu of the will be difficult to ascertain these alter
156 ations; but it is evident that tbis addivelocities will be about and
tinal velocity can never be greater than
Vr that requisite for a projectile to proceed For the Earth n = 1; but for Saturn
to an infinite distance, without consir -- 9, and for Uranus g = 19: bence, dering the resistance of the air. This if we suppose planets (placed beyond last is the saine with the velocity which Uranus, at a distance from the Sun, the projectile should receive, to describe making r= 100) to have burst asunder,
a parabola round the Eerth : and it is to it would have required only an explosion the velocity with which it would describe capable of producing a velocity less than a circle at the same distance from the 12 or 15 times that of a cannon ball, to form of the fragments comets, olliptic or
Earth, as v 2 to 1,29 Nemion has shown, parabolic, in every possible direction and
Now we know from Huyghens, that in magnitude. Velocities greater than
order to render the centrifugal force at those limits would have produced by per- the surface of the Earth equal to gravity, Balic comets, which would bave entirely the velocity of rotation must be i7 disappeared, after i heir first production. times as great as the velocity of rotation
should it be supposed that the fray- of a point at the equator. Hence, taking ments of the planet, when exploded, for unity this last velocity which differs should continue to move in orbits, about but little from that of a cannon-ball, the equal to that of the planet, but differ. velocity impressed on a projectile will ently situated, we will have only to make be expressed by 17 V2, or by nearly 24. this formula, a=b=r; when we shall It will be necessary then to increase by have
24 the numbers 191 and 156, which will
carry the maxima of the velocities to 145 m=2 sin. z'
Many other consequences may be COS. OO,
known from these formula; but I will not cos. ß = sin.
enter further on this subject, contenting
myself with having given a general solui
tion of the problem. We tbus have a tos. Y cos. 2
complete hypothesis on the origin of the
whole planetary systein, more conforme e representing the inclination of the new able to the nature and to the laws of me. orbit with the original. This is nearly chanics, than all the others hitherto the case of the four small planets ;
proposed. as the greatest value of i is 38° for Pal
To the Editor of the Monthly Magazine, las, which gives 2 sin. = 0,48384,
2 nearly 1, and that for these planets we I. should
F the following reply to the of have r = 2,7; the velocities be- be considered as satisfactory, the insertion
BENJAMIN IJOOKE. longing to the explosion, will be less tima 20.
Millman street, Bedford Row. With respect to the Earth, if we sup
January 11, 1814.
As the whole number of balls of both pose a fragment equal to one thousandth colours is 48, and the number of black is part of the globe, and consequently equal 12; the chance, in favour of drawing a to a globe having for diameier the tenth
12 part of that of the Earth, be detached black ball, is evidently
and the from it and projected with a velocity ca
43' pable of changing it into a parabolic co
Again, as met; this velocity will be expressed by probability of not doing it 707 (3 -X cos. 2); and the
the probability of not doing it in one trial
is įmum, as before found, will be 121 or
the probability of not doing it in *
as enables the removing the wolf third trials is and this, by the question, G* C, along with the wolf fifth G* is to be equal to the probability of doing Eb, (and leaving of their proper tempe
raments instead,) by the introduction of 1
a new or thirteenth note, Ab, that can it, or
; whence, from the na2'
on these occasions be substituted for G*. ture of logarithms, * X log. * = log. ;
I have also shewn in your last volume, or x x (log. 3m-log. 4) log. 1» p. 219, that in this systein, the notes very
log. 1-log. 2
nearly approached nineteen equal intervals log. 2;
in the octave, and it might easily be shewn log. 3-lug. 4
that sixteen of these notes are necessary, log. 2 3010300
to remove all its remaining wolves (or log. 4 lug, 5 6020600_4771213 Db, Gb, and Cb, in addition); that 3010300
ten of its major sixths, and as many of = 2.4, nearly the number of its minor thirds are perfect, or withous 1249387
any, temperainent, (by the use of Ab trials, or in 24 trials it might be expected with 1): and consequently, that. a temto be done 10 times,
pered fifth would only be required to be
tuned, by the beats, above and another To the Editor of the Monthly Magazine. such below C, and all the other ten notes SIR,
by perfect sixths only. And nine of its N a small quarto work on the “Theo. major citirds are each flattened 1 comına, J. Marsh, in 1810, p. 14, he says, speak But how such large temperaments ing of tuning keyed instruments, “$30, could be borne, on the fifths, (on the orFor in proceeding from C upwards by gan in particular,) or these fiattened fifths, and taking twelve in succession, thirds, or the cliect that each of these (the number of keys in the octave,) tha would produce on the ear, with the per. 12th will fall short of the note set out feet intervals, and these especially, with from, or its octave, in the same degree as the occasional dissonances of the other the three third-mentioned in § 27.”. An 3 tbird and 8 sixth wolves, (each almost anonymous review of this work, lately 9, and 2 commas sharpened, respectivepublished, says, this 30th § is erroneous; ly,) I will leave ilir. Alarsh to explain: without assigning any reasons, or noticing but who can, from the unalterable nature that the author, in p. 23, on this same of the scale, refer to no other system than principle(with equal impropriety,iferrone. this, in defence of the passages in his Harous) recommends, “a double or divided monics, that have been censured as above. key for G * and Ab, which key, being Mr. Alarsh, or any of your musical distinguished from all the rest, (as the readers, can have little difficulty in calcucentre of three short keys throughout the lating and forming a table, of the thirteen. instrument,) performers, in general, would notes of Mr. M.'s systein, expressed in soon get into the habit of managing their my artificial commus, either calculating by fingering,"&c. and, by which simple additi- fifths, each 354}, or by nineteenths of the on of one note,they would,he says,do away octave, each 5*, as explained in your with the great wolf," " or chord of G*, last volume, p. 219; and of forming tables, C, Eb, instead of Ab, C, Eb," in the shewing the temperaments of all de conkey of Ab, or on the fourth, or subdo. cords that can be taken, on each of these minant Eb, (p. 20.) See also the last twelve, or thirteen, notes, censidered as paragraph in Mr. M.'s work, where the key-lotes; but if this task appear to have same things are likewise asserted. any difficulties in it, I would readily send
Now, although in all systems of inter- such tables, for insertion in your work, vals or modes of tuning, except one, this on being so requested. assumption of Mr. Marsh's is necessarily incorrect; yet in case of the bearing fifth ON FOSSIL IIUMAN SKELETONS. G* Eb, being equally sharpened with A different oliject induces me to cona the bearing major third G*C; a system tinue the use of my pen on the present which I have calculated by my theorems, occasion, viz. a paragraph at page 398, of in the Philosophical Magazine, vol. 35, your last volume, which, after mentioning (to which vol, the reviewers refer,) p. 15, the removing of one of the many skeletons Schol, 3; and have shewn that a flat of the ancient Caribee inhabitants, from temperament, of one-third of a comma, to their tufaceous burying ground in Guadaeach of the other eleven fifths, (besides loupe, and lodging it in a glass case in the 6*Eb), will produc# such a systein, British Museum, thus concludes: “ This
Fossil Skeletons --Mr. Busby's Method of Modelling. [Feb. 1, iliscovery of course disturbs the many well by experience, and the positions of fine-spun theories, relative to the compa the adjoining graves, (which probably they satively recent formation of the human cut through,) exactly where and how this species." Now, although several different skeleton laid, and sent the perfect one, theories seem here (perhaps artfully, as a as I understood, which is now so unfortua cover for the real intention) alluded to, nately mutilated. I am aware of no application which this In case any of your numerous readers reinark can have, but to call in question should have met with the printed account the received Mosaic account of the origin that I have mentioned, or any other, of and date of our species.
these Caribee burial-places, I, and many I am far from wishing others, or think- others, will esteem it a favor, if they will ing that I ought myself, io sbrink from the make reference to, or extract all such ac free examination of any and every truth
John FAREY, Sen. or position, presented to us through the Upper Crown Street, medium of writing or the press, as this January 8, 1814. Mosaic account is; but certainly, some. thing more like general evidence must be To the Ediior of the Monthly Magazine. adduced, before the facts of a solitary spot, even were these undoubted skele.
OUR Correspondent" Jacobus” enkons of the strata, thiat Sir Alexander and quires, in your number for this the foreign geognosts of Bloomsbury bave mouth, for a “method of preventing the stumbied on, can be admitted to disturb mischief done to books and MSS. by the much the uniform tevor of all geological worm or moth, and also for preventing observations, up to the present time: its spreading." Some years ago many of but as this is a subject that will doubt. ny books began to be damaged by some Jess rouse the zeal of your venerable and inscct, but none have been injured since more able correspondent M. De Luc, I put here and there upon the shelves I will leave it thus, for the present. small bays coutaining powdered pepper.
I cannot however avoid remarking, that Books bound in Russia leather rarely several years ago, (ic was before I began (I believe, never) are attacked by worms, to attend to geology, and therefore pre- and therefore I have little doubt but a few served no uotes, or references,) I met, in so bound, mixed with others, will prove the course of my reading, with a very cir some protection to the whole. I have cumstantial account of the ancient Caric known scraps or clippings of Russia lea. bee burying-place above alluded to, and ther, prove of essential service, of the stoney hardness that the soil bad
I have stayed the progress of the misacquired, which was formerly loose and chief already commenced in books by capable of being dug for graves: this ac- putting a quantity of pepper among the count, as far as I can recollect, agreed in leaves.
J. BELLA. every particular, as to the considerable
January 5, 1814. number of bodies, at near the same depth, their straight and parallel positions, their To the Editor of the Monthly Afagazine. arms being laid upon them, &c. which SIR, the best accounts that I have heard late THROUGH the medium of your most ly, state respecting the bodies in question; respectable miscellany, I request to : for it is admitted, that numbers of them offer a few observations on the important reinain behind, and that the inhabitants, advantages of a new method I have who sold this, (at a price somewhat proe adopted for constructing models for inportionate to the credulity of the parties, tended buildings, if I am not mistaken,) spoke familiarly of Probably it is known to most of your This skeleton, and the mass of stone in numerous readers, that the uniform pracwhich it was almost entirely enveloped, rice of architects, when consulted re. by the vaine of a Galib, the ancient, and specting any intended building, is to I believe the French name of the inba- depict their ideas in a series of diagrams, bitants of those parts.
technically designated plans, elevations, When this block of stone arrived at the and sections. By these they prosess to Museum, so exceeding sırall were the ap- explain che interior accominodations, and pearances externally, of the bones within external effect, of the proposed erection ; it, that I have been told, many were for not seeming to reflect that, however in. sawing it in iwo at once, thinking it impro- telligible graphic representations may be kable that it contained any thing curious; to artists, they are with difficulty unders a proot among others, I think, that the stood by those who have not made archi, persons that quarried this stone, knew tecture their particular study,
Having repeatedly experienced the in- of a Fray. The Job has been painted conveniences arising froin this practice, t for the Institute. have been induced to prepare models. Mr. EAGLES, a new artist, has also These models I construct in a manner as sent up four landscapes of great excele new as explicit, and by a resource, so lence. They are grand and well con, much more luminous and satisfactory than loured, being founded on a long study of that of any drawings, I am enabled, before nature.
G. CUMBERLAND, a brick is laid, to exhibit every part of Bristol, Dec. 25. the intended edifice, as distinctly as if it were already in existence.
For the Monthly Magazine. The advantages of this method to those ACCOUNT of the LANSDOWNE M-s. lutely who propose to build, are too obvious to re deposited in the BRITISII MUSEUM ; quire to be dwelt upon. It is sufficient to compiled for the RECORD COMMISSION, observe that, while architectural drawings by 11. ELLIS, ESQ.
THE the plan I adopt, is so intelligible as to ena
division of the Lansdowne MSS. ble every observer to form as correct an One volume of these papers contains opinion upon the merits of the proposed copies of chariers and other documents structure as even the author of the design. of an early periud; but the remainder,
Though by this improvement upon the amounting to one hundred and twentyprofessional custom, I have imposed upon one volumes in folio, consist of state myself mucii extra trouble and expence, papers, interspersed with niiscellaneous yet the concomitant facilities of substan- correspondence, during the long reign of tial exhibition have been found so supe- Queen Elizabeth; and among these is rior to those offered by drawings, that I the private meniorandum book of Lord have been encouraged to extend my sys- Burleigh, tem to almost every necessary variety;
The second division of the Lansdowne not omitting the models of several public MS3. comprises the papers and correand domestic structures, which have been spondence of Sir Julius Cæsar, judge of raised under my direction in different the Admiralty in Queen Elizabeth's parts of the united kingdom,
time, and Chancellor of the Exchequer, 33, Berner's Street, C. A. BUSBY. and Master of the Rolls, in the time January 12, 1814.
of James I. and Charles I. Of fifty. four volumes in this series, thirty-one
relate directly or in part to Admiralty To the Editor of the IV[onthly Magazine. concerns; ten to Court of Requests,
Chancery, Treasury, and Exchequer bu. W!
E have set up a new steam-engine siness; three to Ecclesiastical matters ;
here, that promises wonders. A one contains treaties; two are cataloNr, ONION is the inventor. I have seen gues of the Cæsar papers; and seven are it, and like it much. The principle is historical, parliainentary, &c. a hollow wheel whose interior is half filled The third and last division of these with a fuid metals in fact, the fly wheel MSS. is the largest, and comprehends loaded and charged with steam by means many valuable works upon various subof two tubes that enter at the nare, and jects, Amongst these are, a fair tranza two valves that act alternately as the script of Andrew of Wyntown, and a wheel revolves. The steam is supplied most beautifully illuminated copy of hy means of a coinmon boiler; it makes Hardyog's Chronicle, as it was presented no noise whatever,and saves half the coals. to King Henry the Sixth; and two voWe shall grind corn with it shortly;-the lumes of Letters, &c. written by royal, saving will be very great every way: noble, and eminent persons of Greit
Mr. Burge, of this place, has also in- Britain, from the time of King Henry troduced a stove in the form of an urn, the Sixth to the reign of his present which has a pot introduced into it, for Majesty; the greater part originals. the fire, and is supplied with air from Here are also eleven volumes of the above, so that you may enjoy the fire and Papers of Dr. John Pell, Envoy from the store at once; they sell for about 50s. Oliver Cromwell to the Protestait Calle and are very useful, as they give much tons of Switzerland, between 1051 and heat, and can be placed any where. 1688, and five volumes of Sir Paul
Mr. BIRD has finished and will send Rycaul's Papers. These latter volumes up next week his Job, a noble picture, contain not only letters, &c. of a pubo, Superior to any he has yet executed. lic nature while Sir Paul Rycaut was Also, a brilliant scene in an alebouse Secretary to the Earl of Clarendon !!! MostałY MAC, No. 254.
Mr. Ellis's Account of the Lansdowne MSS. (Feb. ), Ireland, in the reign of James II. but
The last and strongest class of this also his letters and papers relating to third division of the Lansdowne Manupublic transactions while resident at scripts, is that of Topography, comprillamburgh and the other llanse towns. sing Mr. Warburton's Collections for
Upon coin and coinage there is a Yorkshire ; and also the Chartularies of valuable work, which seeins to bave the Abbies of St. Alban, Lunda, Geronbeen intended for publication by its don, and Chertsey. author, entitled, “ Brief Memoires relating to the Silver and Gold Coins of To the Editor of the Alonthly Magazines England, with an Account of the Cor
SIR, ruption of the hammer'd Monys, and of THINKING that much valuable inthe Reform by the late grand Coynage formation might be obtained in at the Tower and the Five Country regard to the depreciation of the preMints, in the Years 1696, 1697, 1698, cious metals, by a comparison of their and 1699,” by Hopton Ilaynes, esq. value in relation to the prices of corn Assay Master of the Mint, 1700.
upon the Continent, I slould be much The IIeraldical and Armorial M200. obliged to any of your correspondents scripts in this collection, are numerous ; who would inform me, through the meand a large collection of papers of the dium of your valuable publication, Fifteenth Century, illustrating the In- whether any regular returns of the stitutions of Chivalry in England. In prices of corn have been made to the illustration of the History of Scotland French, or to any other government there is “A Collection of Laws, Sia- upon the Continent, as has been done in tutes, Orders, Commissions, and Treaties, England; and if any such documents relating to the Marches or Borders of exist, I should be glad to learn in what Scotland, as made and agreed on by the publications they are to be found. respective Sovereigns of England and Pirmingham,
S.T.G. Scotland, from 1249 to 1597."
14th Jan. 1814. Of the Kennet papers, many relate to English Ecclesiastical History, contain. To the Edilor of the Monthly Magazines
and many old manuscript tracts and printed books, Collections for the History of of Stackpool Court, in Pembrokeshire, Convocations, &c.; cight volumes are who now dignifies nobility under the Dr. Ilutton's collections from Ecclesias- title of Lord Cawdor, planted, a few tical Records, the two last including years since, an Arboreum, consisting of some Notes only by Bishop Kennet; several hundred different species of trees, eleven volumes contain the Bishop's with a view to ascertain their comparaBiographical Memorials, mostly of the tive produce and profit. English Clergy, from 1500 10 1717; I have seen it, and have reverences eight relate to the Church and Diocese the feeling that excited the experiment; of Peterborough. Some of these maa but I have never heard the result, og nuscripts have been the materials for whether any result is yet ascertainer, the Bishop's printed works, but the At any rate, some particulars would larger and more miscellaneous quantity, highly interest the patriotic readers of particularly in biography and local bis. your valuable miscellany, tory, have been unused,
AGRICOLA. In this division there are also several
1812, old collections of Statutes, written on vellum, from the earliest date down to To the Editor of the Monthly Magazine. 23 llen. VI.; also, a “ Treatise on the SIR, Court of Star-Chamber, by William OBSERVE there is some notice Hudson, esq. ;" a Collection of Royal taken in your last Number, of the Proclamations, from 19 Hen. VII. to establishment of Passage Steam.boats in 17 Car. I.; and several Manuscripts America. Had it not been for the une which relate to Parliamentary History happy war in that country, a reguand Proceedings, principally Transcripts. lar communication between Montreal, There is also a Transcript of the Testa Quebec, and New York, in the United de Nevill, and fifteen volumes of Selec- States, would by this time have been tions from the Patent Rolls preserved in opened almost entirely by steam-boats ; the Tower,
the relative situation of Hudson's, or
ined al Registers, with Transcripts freea T Mished gentleman, Mr. Campbell,