# 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 Alla 8 Of Africa 9 Of America 163 158 176 OF ASTRONOMY 198 221 Sect 1 Of the Primary Planets 198
 CHAP XX 393 APPENDIX 448

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Page 184 - When there is a vacancy in the government, every foldier in the army has a vote in choofinga new emperor, which is often attended with great bloodfhed. The parts of Africa, from the tropic of Cancer to the Cape of Good Hope, are very little known, except
Page 350 - of them that weigh equally in air, and noting the weight loft by each. 11. A body defcends in a fluid that is fpecifically lighter, but afcends in a fluid that is fpecifically heavier, with a force equal to the difference between its weight and the weight of an equal bulk of the fluid.
Page 33 - in the numerator of the fraction, and divide the product by the denominator; then the remainder will be the true value of x required, provided the number of terms in the upper line be even, and the
Page 14 - Quantities equal in Value, and having one given Index. RULE. Divide the indices of the quantities by the given index, and the quotients will be the new indices of thofe quantities. Then over the faid quantities with their new indices place the given index, and they will be the equivalent values required. EXAMPLE. Let iai, and
Page 14 - To reduce a rational Quantity to the Form of a Surd. RULE. Multiply the index of the quantity by the index of the furd, and over the product place the radical fign, and it will be the form required. Thus, let 3 be reduced to the form of
Page 350 - A body finks in a fluid that is fpecifically heavier, fo far, as that the weight of the body is equal to the weight of a quantity of the fluid of the fame bulk as the part of the body which is immerfed
Page 80 - &c. To perform divifion by logarithms, fubtraft the logarithm of the divifor from the logarithm of the dividend, and the remainder will be the logarithm of the quotient, firft changing the fign of the logarithm of the index of the divifor, and if they be of different
Page 280 - round. Then if the circumference of the circle described by the handle of the winch A be equal to the circumference of a groove round the wheel D, the velocity of the handle will be 48 times as great as the velocity of any given point in the groove;
Page 224 - preferve the fame figure; for though the orbit of the Moon be an ellipfe, having the Earth in one of her foci thereof; yet the eccentricity is fometimes greater than at other times. ' The plane of the Moon's orbit is inclined to that of the ecliptic, in an angle
Page 76 - of their logarithms. Alfo a number may be raifed to any power by multiplying the logarithm of the root by the index of the power: and the extraction of roots may be performed by dividing the logarithm of the given number by the index of the root required to be extracted. Logarithms confidered in their theory, are of very ancient origin, and were