# The Accomplished Tutor; Or, Complete System of Liberal Education:: Containing the Most Improved Theory and Practice of the Following Subjects: 1. English Grammar, and Elocution. 2. Penmanship, and Short Hand. 3. Arithmetic, Vulgar and Decimal ... 18. Drawing, Engraving, and Painting. And Other Useful Matter. Embellished with Twenty Copper-plates and Six Maps, Neatly Engraved, Volume 2

H. D. Symonds, Paternoster Row; and Vernor, Hood, and Sharpe, Poultry., 1806 - Arithmetic - 458 pages
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### Contents

 OF 1 CHAP X 42 Reverſions 63 CHAP XI 73 OF TRIGONOMETRY 87 OF GEOGRAPHY 107 Op ASTRONOMY 198
 OF MECHANICS 267 Of the Application of the Powers to Mills 282 CHAP 285 The Conſtruction and Uſe of the Hydro 353 OF DRAWING 394 APPENDIX 448

### Popular passages

Page 8 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 279 - The wedge is a very great mechanical power, since not only wood, but even rocks, can be split by it ; which it would be impossible to effect by the lever, wheel, and axle, or pulley ; for the force of the blow, or stroke, shakes the cohering parts, and thereby makes them separate more easily.
Page 273 - A lever of the fecond kind has the weight between the prop and the power. In this, as well as the former, the advantage gained is as the diftance of the power from the prop to the diftance of the weight from the prop : for the...
Page 327 - ... of its sails move against the air when it turns round. In each axle is a fine pin near the middle of the frame, which goes quite through the axle, and stands out a little on each side of it...
Page 334 - When foul weather happens soon after the falling of the mercury expect but little of it ; and on the contrary, expect but little fair weather when it proves fair shortly after the mercury has risen.
Page 281 - As the distance between the body to be raised, or balanced, and the fulcrum, or prop, is to the distance between the prop and the point where the power is applied, so is the power to the weight which it will balance.
Page 366 - The horizontal distance to which a fluid will spout from a horizontal pipe in any part of the side of an upright vessel, below the surface of the fluid, is equal to twice the length of a perpendicular to the side of the vessel, drawn from the mouth of the pipe to a semicircle described upon the altitude of the fluid : and therefore the...
Page 349 - He first established the truth that a body plunged in a fluid loses as much of its weight as is equal to the weight of an equal volume of the fluid it displaces.
Page 280 - If the line g, instead of going round the groove e of the wheel D, goes round its axle I, the power of the machine will be as much...
Page 329 - ... of the bladder be overcome by the weight of the air; and then it will break with a report as loud as that of a gun.— If a flat piece of glafs be laid upon the open top of this receiver, and joined to it by a flat ring of wet leather between them; upon pumping the air out of the receiver, the prefibre of the outward air upon the flat glafs will break it all to pieces.