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is adapted to their wants. The first table shews, every fourth year, fro*m 12 to 100; the rates percent, pcrann. at which ail trees increase, whether they grow fast or slow, provided their rate of growth does not vary. v

This tahle may be the means of saving young thriving woods from being cut down, by shewing how great a loss is sustained by felling timber prematurely ; and it will point out the small interest which old trees will bring by being kept i it will likewise assiit in the valuing of such timber as is not to be cut down, by enabling

a person to estimate its present value, especially when it is encreasing after a high rate per cent per ann.

The second table shews the rate per cent, to be the same us in the first table, though the annual iuciease is more both in height and circumference. It must be observed that the whole height of the trees is taken to the top of the leading shoot, and the girt in the middle.

If trees increase 12 inches in height, and tin circumference annually, their Hicrease will be as in the following

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Explanation of tlit Construction of' Tables I. and II.

To render ttie preceding tables easy to be understood by persons not accustomed to calculations, we shall state the process nt the operations in the first line of Table II.

The height of the tree at 12 years of age is supposed ro he 10 feet to ihe top of its leading shoul, and 24 indies in circumference at the ground, consequently, at half the heit;iit, the circumference is 12 inches; one fnuitli of tins, being three inches, is called the girt. The girt being squared and multiplied into the height, gives "ne loot one inch and six parts for Its contents. At 13 years old, ihe tree will he 19^ feet high, 26 inclir.* in circumference at the ground, and 13 inches at half the height; one-fourth of 13 gives ££ inch for ihe girt. This squared and multiplied into the height, gives one foot five inches and one part for the contents. Deduct from this the contents of the tree nt 12 years of ape, and there remains three inches and seven parts, which is the increase in the 13th year. Then reduce the contents of ihe tree when 12 years old, and the increase in the 13th year, each into parts, dividing the former by the Jailer, and the quotient will be 3'70;

by this number divide 100, and the <juotient is 26o. which is the rate per cent, of increase made in the thirteenth year; consequently .whatever the tree might be worth when 12 years old, it will, at the end of the 13th year, be improved in value after the rate of 26/. 10*. per cent, or in other words, that will be the interest it will have paid that year, for the money the tree was worth the preceding year.

At everysuceeding period, both'in this Table and Table I. the Jiiie proccis is gone through.

Observation! on Tables I. and IT.

The- preceding tables furnish us with the following useful information, m.

1st. That all regular growing trees, measured as above, as often as their aje is increased one-fourth, contain very nearly double their quantity of limber.

2nd. That when a tree has doubled iu age, its contents will be eight-fold.

3d. That w hen a tree has doubled the age, its annual growth will be increased four-fold.

4th. Consequently, that when a tree has doubled its age, the proportion thnt its annual increase bears to the contents of the whole tree, is then diminished one-half.

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the pasia^esare nmked by grace anduoxeAt-v, anil the general result is, air effect highly interesting and dramatic. It is to be lamented, both on account of the enmposer's interest, anil the public gratification, that tins piece was destined to he performed liut once; the theatre fceiug destroyed tlie night after its first representation.

A Botk of Gleti, &c. for Three, Fear, and Five Voxels etrnfostd and dedicated to Mrs. jfcab jljtcsT by Samuel li-'ebbe, jun. 12s.

The present publication comprises nine glees, »canon, around, and a catch; and occupies forty.two folio pages. A pleasing play of fancy, aided by a cultiy»redjudgrueut,avid nrespectable portion •f science,, is displayed in various pans of the work, and sets Mr. Webbc's abilities (iir litis species of composition in tha most favourable point of view. The combinations are, in general, extremely wetl adju.xted, and the ha-s is frciupntly the best that could have been selected; while ihe paints, answered with correctness and effect, contribute to throw over the wlwle a striking air of mastery and talent.

A Sonata fur the Plans-forte, ec;>:pc?cd and dedicaltd la Miss Finlason, by J. J?»h, esq. 4s.

This Sonata, in which Mr. Iloss has introduced some favourite Scottish airs, is written iu a free hut easy stylo. The passages, though playful, are not difficult of execution, and taste prevails without the desertion of simplicity. In the: general construction ot lht> piece, we trace much talent for arrangement, mid a considerable knowledge of ctlect, while the improvement ol the finger, as well as the gratification of the tat, has been successfully attended lo.

ACortcertr,, hi Mczart, adafui at a Situtafor tit Piare-forte, by P. Brupsief, etti de. dicated to bj friend, F. Latrxji 61.

Mr. Uruguicr, in his adaptation of this concerto for the piano-forte, has evinced :i thorough aomaiiiiunce with the particular points of excellence in his author, as well as a perfect knowledge of the character and powers of the instrument for which he intends it. The whole is accompanied with a violin part; and the general effect, is, we think, calculated to ensure the publication an extensive lute,

fht Bme-ey'd Strvnrer; a frvrritl elonf, reitb am Ac<omp.iv:rn-'trt for the Piano.forte. Gcmfred by it'. S,„fp li.

This song, the affecting words of which

are written bv Mr. Currell, is pleasing in its melody, and catctdared to impress the hearer with a favourable opinion of the composer's taste and sensibility, while the accompaniment is judiciously arranged, and the bass uot ill-chosen. A favosaite Duet, fir tt*t Pianoforte. Coin

fused end dtdic.it <:d lo Miss a mi Mist Mary

t-y, by J. Joy. (li.

'J his duet, which is comprised in one movement, is simple and easy in its style, and without the ostentation ol prolound science, or a severe attenrion tiv the secrets of elaborate composition, exhibits the taste of the composer in a favourable light, and is productive of a very pleasing effect. We should not do justice to Mr. Jay's nioriis, if we did lint recommend this production to the attention of juvenile practitioners, for whose use and improvement it seems particularly adapted. f If it be Love;" an Ariel!/, as sing h Mr.

YauHan, .if the Vocal C.r.crts, Hummer

stuare. Comfised by 'J. F. Burrv.eH. St.

We lind in this anclle indications of an eft'irt, with which the effect, we must in candour observe, does not perfectly correspond. Some of the passages are agreeable in themselves, and tolerably connected, but not so pregnant with meaning as we could wish; nor do we find in the whole that distinguishing feature inherent in original composition.

Les Petitcs Rtvala; a Divertimento fir tv* Pcrfumtrs en one Pianoforte. Ccnrfcsei and dedicated to Miss and Mrs Maty'Tbornbill, bf Charles Edii-ard Him. ?i, 6d. • i\lr. Horn has evidently designed the article before ns for what we are ready to acknowledge it—an agreeable trifle. Though nothing very scientific or artificial presents itself to us, the parts ate perfectly in rule, and the effect, if uot brilliant, is pleasing.

Sixth Divertimento for the Pianoforte. C.Mfused and dedicated to the R.'_?£r Hast. Lady

Diana Herbert, by J. B. Cratrer, eij. 5i.

In this divertimento, Mr. Cramer has introduced a favourite Spanish fandango, serving nt once to delight the enr, and relieve the other movements of the coTitpositinn. In every puge of tlie puhficatiim we trace the talents of this excellent master, and find his genius seconded bv his taste and judgment.

Bin Scir td. Divertissement fair le PiatnefsTtj, at-ee Aeeomfee-r.cnunt de Flute (ad UbitutlT). CsmJesS et dedie' aux Dames, far t. Lotowrt esq. Pianiste Je Son Aitesse Rcyal Afotwijmur It Prince de Gallet. 4». This divcrtuisemint ia plexningly ftna

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VARIETIES, Eiterarv Ami Philosophical.

Including Notices of Work* in Hnnd, Domestic and Foreign. #* Authentic Communications for this Article will always be Ihuukfulty received.

WE have great pleasure in presenting our readers with a test of security, in regard lo persons who have undergone the vaccination, and who may be made uneasy by the false and interested alains of malignant persons. Let a patient he selected on whose arms the vaccme pustules have regularly advanced to the 7th, 8th, or 9th, day. From cue of the.se pustules, let the subject intended to lie put to the test of security, be re-vaccinated, and at the same time, mid with a portion of the same vaccine fluid, let a.other child, who never has bad either the cow-pox or the small-pox, he also vaccinated. On the anus of the child put to this test, if it was previously secure, the virus will produce in a short space of time, (two or three days perhaps), an inrtammation around the parts punctured, and sometimes small irregular Tc-icles, accompanied with itching, which commonly dies away. IonTM before the regular pocks on the anus of the child that had nut been before secured, arrive at maturity. The reason why Or. Jenner recommends the vaccination of u child not in a doubtful state, with I lie nne whose situation may be supposed doubtful, is to pivve to a certainty, that the vaccine fluid employed, is in a Mate /if perfection. The insertion of variolous mailer bv way of test, in the early periods of the vaccine practice, was adopted and recommended by Dr. Jenner; but although it did not produce the smallpox on those previously vaccinated, it sometimes occasioned very extensive and troublesome inflammation on the arms.

In a short time will be published, an Essay on Theutres, and on t he Projiucty of Vaulting them with Buck, and

Stone. Illustrated with a plan and fcotion for a new Theatre. The object of this essay is to revive the knowledge exemplified by the free and Accepted Masons, in the construction of the vaults of the ancient cathedral; and to show that a theatre built upon similar piiiic-rples, would he of considerable benefit to the proprietor, both in reducing the expense of ihe erection, and the late of insurance; and at the same time secure the audience against the dreadful hazards, to which they are liable, from lite present mode in which these edifices aie built.

In the course of this mouth, Mr. JoSeph Ctiisr, of llolborn, will publish, for the use of Isinale seminaries, Lessons in Geography, vvitn an Introduction to tbe use of the Globes, calculated solely for the exercise of the memory, nud as an introduction to larger works.

The second edit Ion of a Treatise on Malting, by Mr. I{r.VMii.us.o>. late of Newark, now of Hromhy, Middlesex, will appear in n lew-days.

Mr. G. Unit, who has been for some years past occupied in making inquiries into the state of (lie Public Libraries of this iiland, has, we understand, found it expedient to suspend his jesearebe*, though he has by no menus giviu theui up. But, as the work blanches out into various parts, and is become fur more extensive than was originally intended, it is not likely to make its appearance for some years. In the mcuu tiino, Mr. Dyer is employed in preparing for publication, a complete edition nt hi*. P->etic d Writings, in four volumes, duortcciiuo. It wil! be published by suh-cnution

Mr. James Nonius Buewxk, will, in

a few days, publish the lir-t number of

Descriptions

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