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with an air of disdain, look down on a novel-writer, and strive to perfuade the world, that he is fit for nothing else. Eyter. There
may be a good reason for it; the more solid sciences are often neglected for these trifling pursuits.
Blum. We well know what the gentlemen of the bar call solid science--barbarous conitructions and phrases, which nobody underBands.
Eyter. And do people understand your prescriptions ?
Blum. Alas! no, Sir: and I give you leave to turn our quackish cant as much into ridicule as you please.
Eyter. You are caught, Doctor. Every profession has, and, by rights, ought to have; its quackery, to command respect. You have your recipe, and I have my clansula rati; grati, et indemni. ficationis. Servireur.”
[Exit. The scene of the Reconciliation," is extremely natural and affecting.--
1.4 garden with a bower on each side.)
Charl. I am ftrewing flowers on the road, which, for so many years, has been covered with thorns.
Frank. What does the mean?
Tbil. (ndeling to Blum.) Pray, Doctor, tell me, who is that Atrange gentleman ?
Blum. I have invited him, because to-day is his Birth-day.
Charl. (running frifily to the other arbour, and clinging round Her father's neck. It is my father!
(A pande. The two brothers look at each other furtively, but
with great emotion : the Doctor examines them with
attention and pleasure.)
Frank. (apart.) How shabby his dress! he has, perhaps, been in distress, whilft Mrs. Grim was robbing me.
Phil. (apart.) Fie upon that proud (hame that would prevent me from flying into his arms ! Charl. (kneeling down between the two arbeurs, ftretching out
her arms, and looking with earnest looks, alternately, at her father and her uncle.)
Phil. (rijes, and goes one step out of the arbour.)
Phil. Wih pleasure, my child! (He goes to her, and takes her band.) Charl. (in a weet caressing tone.) To my
Charl. Nearer, nearer! (drawing the hands of the two brothers So near that thry meet.)
Phil. (deeply affected.) Brother!
Frank. (looking at him, throws away his pick, and opens his arms.)
Phil. (finks on his breaft.)
Charl. (jprings up of a sudden, and throws herself round Blum's neck.) My thanks, good men !
Frank. Look at me, brother-eye fixed on eye ! let me see, if there be the least spark of resentment left! Phil. Dostn't thou see a tear that will quench it?
Frank. (fill in the greatest cmotion, takes him by both hands.) Brother, thou look 'st like the image of distress! thou hast been in want! thy whole person upbraids me with it.
Phil. I have been ill.
Frank. Well, then, get better I won't set my foot over the threshold of the door.
Phil. My good brother! thou hast, in spite of our mutual situation, generoully supported me.
Frark. What! is that a sarcasm ?
Blum. Dear Sir, pardon me this pious fraud : I was thinking of the means to reconcile you, and I acted in the name of your brother.
Frank. You are hard upon me, Sir! but I thank you for that lesson.
Phil. Oh! my daughter! what a son thou haft given me !
Phil. This genervus man, to whom innocence and goodness of heart are equivalent to wealth and riches.
Frank. I understand.-Well done! but poor the girl is not. Isn't she my sole heir ! is it not so, Charlotte ?-Oh, we know each other, by this time ! (pointing at Ann.) What's the crying for,
Phil. She is pleased, poor old woman!
Frank Isn't that our good old on? Pbil. It is she,
Frank. Ann, is it you ? Reach me that hand that has given me so many slices of bread and butter. Well, you have continued än honest girl ; and you shall never want any thing to chew while you have a tooth in your head.
Ann. Uobbing.) I cannot talk--now.
Frank. Well, then, hold your tongue. We all see your tears come from the heart.-But what the deuce is become of my gout, . Doctor? I think my ftick has got it all."
It is almost unnecessary to add, that, in point of morality, " the Reconciliation” is unexceptionable. ---And, though the translator hath but indifferently performed his part, we have read it with a high degree of pleasure and satisfaction:
Art. XI. A Course of Mathematics; in two Volumes, composed,
and more especially designed, for the Use of the Gentlemen Cadets, in the Royal Military Academy, at Woolwich. By Charles Hutton, LL.D. F.R.S. and Professor of Mathematics in the said Academy. 8vo. Price 155. Robinsons, London. 1798: THE object and plan of this useful work are thus set forth
in the preface :* A short and easy course of mathematical sciences has long been considered as a desideratuin for the use of students, in the different schools of education, one that should hold a middle rank between the moré voluminous and bulky collections of this kind; and the mere abftract and brief common place forms of principles and memoran. duns.
“For long experience in all feminaries of learning, and particu. larly in the Royal Military Academy of Woolwich, has thewn that such a work was very much wanted, and would prove a very great and general benefit, as, for want of it, recourse has always been obliged to be had to a number of other books, of different authors, selecting a part from one, and a part from another, as seemed most suitable to the purpose in hand, and rejecting the other parts; a practice which occasions much expence and trouble, in procuring and keeping such a number of odd volumes, of various modes of composition and form, besides wanting the benefit of uniformity and reference, which are found in a regular series of compofitions. To remove these in. conveniencies, the author of the present work has been induced, from time to time, to compose various parts of this Course of Mathe. matics, which the experience of many years use in the Academy has enabled him to adopt and improve to the most useful form and quantity for the benefit of instruction, and, to render the benefit more eminent and lasting, the Master.General of the Ordnance has been NOXII, VOL. III,
pleased to give it its present form, by ordering it to be enlarged and printed.”...
The first volume contains the three important branchesArithmetic, Algebra, and Geometry,
In Arithmetic the rules are set forth with perspicuity, and precision, and the examples, both in number and arrangement, seem well adapted to the practice of schools. At the bottom of the pages explanations are given, with scientific demonstrations, where such are necessary; Fractions, both Vulgar and Decimal, are treated in a clear and comprehensive man. ner, and a new and easy method is given for extracting the Cube Roots, and the Roots of all higher powers.
Algebra contains rules and examples likewise well adapted to scholastic use. We think this tract would be still clearer, had the author introduced more numerical illustrations than he has; this want, however, may be supplied by the teacher. The rules and questions will be found arranged in judicious gradations; an advantage too rarely attended to by writers on this subject
The rules here given for estimating and computing all algebraic expressions of quantities are plain and practical, and all the higher equations are solved by the rule of double pofition.
The Geometry is here digested in a new, neat, and methodical manner. The author expresses a hope, in his preface
“ That he will not be too severely criticized, if, through a design of rendering this branch more easy and fimple, he has, in some in. stances, deviated from the tedious and rigid strictness of Euclid, par. ticularly in the doctrines of ratios and proportions."
The problems of Geometry, with the demonstrations, follow the theorems and the cuts, which are well executed, and placed on their proper pages. The volume concludes with the application of Algebra to Geometry.
The second volume begins with Plane Trigonometry, which includes rules and examples for calculating sines, tangents, and secants. These are followed by Mensuration of superficies and folids, of timber and artificers work, with Land Surveying, in which a new form of a field book is introduced, with an appropriate plan. Next follow conic sections, a tract which deserves particular notice. Here each of the three sections has its leading property deduced or demonstrated, from the solid or cone itself, and all the other properties are drawn from that one alone, without any farther reference to the cone, and without any of the arbitrary and
mechanical descriptions or definitions of curves in Plano. Here the analogy of the several sections to one another is clearly set forth, and all the propositions and demonstrations in the Ellipse are the very fame as the like number of the Hyperbola ; we also find here other new and curious properties of the conic sections.
So far this work may be considered as treating of the elementary part of the mathematical sciences. Next follows the application of those branches to philofophical and mechanical subjects, such as the general laws of motion and forces, simple and compound, momentary and continual, uniform and accelerated or retarded. Next are given the composition and resolution of forces; the laws of gravity ; motion of projectiles; practical gunnery ; descent of heavy bodies; descent of bodies on inclined planes and curves; motion and vibration of the pendulum ; the mechanical powers; centre of gravity ; pressure of banks of earth, with thickness of walls to support the same; pressure of arches, with the proper piers for them ; centres of percussion, oscillation, and gyration ; the ballistic pendulum, for finding the actual and real velocity of cannon balls; hydrostatics; hydraulics; pneumatics; siphons; water-pumps ; air-pumps; diving-bells ; condensing machines; barometer and thermometer. After which, practical exercises and questions are given, in specific gravity; weight and dimensions of balls and shells; with many other useful and curious problems in mechanics and natural philosophy:
The doctrine of Fluxions is next explained, and illustrated in as plain a way as the nature of the subject would allow. The inventor, Sir Isaac Newton, defines Fluxions the Velocities, by which quantities are generated, and Dr. Hutton simplifies this definition by calling a fluxion a rate or proportion, according to which any flowing quantity increases, and he has exempliñed this sublime science with a great variety of useful problems, such as the maxima and minima, rectifications, quadratures, contrary flexure, radius of curvature, involutes, evolutes, &c. The practical application of this science is contained in a great number of curious and interesting examples concerning forces, with the relation between them and the time, velocity, and space described. These conclude with a new problem, which calculates the velocity with which a cannon ball is discharged from a piece of ordnance of given dimensions, and charged with a given weight of gunpowder. The result of this calculation is compared with that of many of the author's former experiments, by which the real strength of fired gunpowder is here accurately determined, and proved