# A New and Complete System of Arithmetic: Intended for the Use of Schools and Academies

E.F. Backus, 1813 - Arithmetic - 144 pages

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### Contents

 Section 1 1 Section 2 5 Section 3 13 Section 4 19 Section 5 26
 Section 6 39 Section 7 64 Section 8 136 Section 9 142

### Popular passages

Page 104 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units.
Page 122 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Page 100 - Double the figures already found in the root for a new divisor, (or, bring down your last divisor for a new one, doubling the right hand figure of it,) and from these find the next figure in the root, as last directed, and continue the operation in the same manner, till you have brought down all the periods.
Page 95 - ALLIGATION is the method of mixing two or more simples of different qualities, so that the composition may be of a mean or middle quality. It is of two kinds, MEDIAL and ALTERNATE. . • ALLIGATION MEDIAL. ALLIGATION MEDIAL is when the quantities and prices of several things are given, to find the mean price of the mixture compounded of those things.
Page 118 - Take the length of the keel within board (so much as she treads on the ground) and the breadth within board by the midship beam, from plank to plank, and half the breadth for the depth, then multiply the length by the breadth, and that product by the depth, and divide the whole by 94; the quotient will give the true contents of the tonnage.
Page 97 - ... stock to his share of the gain or loss. PROOF. Add all the shares...
Page 24 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.
Page 2 - In conformity to the act of Congress of the United States, entitled, " An act for the encouragement of learning, by securing the copies of maps, charts and books, to the authors and proprietors of such copies, during the times therein mentioned ;
Page 92 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.