The New Complete System of Arithmetic: Composed for the Use of the Citizens of the United States |
From inside the book
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Page 139
... ratio , or not , may be multiplied croffwife . RULE 1. - Under the multiplicand write the corref ponding denominations of the multiplier . 2. Multiply each term in the multiplicand , begin- ning at the loweft , by the higheft ...
... ratio , or not , may be multiplied croffwife . RULE 1. - Under the multiplicand write the corref ponding denominations of the multiplier . 2. Multiply each term in the multiplicand , begin- ning at the loweft , by the higheft ...
Page 224
... ratio in breadth : is to the ratio in length :: fo is the number of trees to a fourth , whose root is the number in length . As 32 600 : 400 . And 400 = 20 = number in breadth . As 23 : 600 : 900 . And 900 = 30 = number in length . As 1 ...
... ratio in breadth : is to the ratio in length :: fo is the number of trees to a fourth , whose root is the number in length . As 32 600 : 400 . And 400 = 20 = number in breadth . As 23 : 600 : 900 . And 900 = 30 = number in length . As 1 ...
Page 239
... Ratio . Thus , of the numbers 12 and 4 ; the difference , or Arithmetical Ratio , is 12-4 = 8 ; and the Geometrical 12 Ratio is - 3 . * 4 If two or more , couplets of numbers have equal ra- tios , or differences , the equality is termed ...
... Ratio . Thus , of the numbers 12 and 4 ; the difference , or Arithmetical Ratio , is 12-4 = 8 ; and the Geometrical 12 Ratio is - 3 . * 4 If two or more , couplets of numbers have equal ra- tios , or differences , the equality is termed ...
Page 240
... ratio of each confe- quent , and the antecedent of the next following couplet , be the fame as the common difference or ratio of the couplets , the proportion is faid to be continual , and the numbers themfelves , a feries of continual ...
... ratio of each confe- quent , and the antecedent of the next following couplet , be the fame as the common difference or ratio of the couplets , the proportion is faid to be continual , and the numbers themfelves , a feries of continual ...
Page 242
... ratio , and number of terms given , to find the fum of the feries . A Gentleman travelled 29 days ; the first day he went but I mile , and increafed every day's travel 2 miles : How far did he travel ? 29X29-841 miles , the Anfwer ...
... ratio , and number of terms given , to find the fum of the feries . A Gentleman travelled 29 days ; the first day he went but I mile , and increafed every day's travel 2 miles : How far did he travel ? 29X29-841 miles , the Anfwer ...
Common terms and phrases
3grs affumed root amount anfwer annuity annum Avoirdupois Bought bufhel cafe carats common difference cube root currency cyphers decimal denominator diſcount divide the product dividend divifion divifor Dollars equal EXAMPLES fame farthings fecond feet feries feven feveral fhall fhillings fhould fimple find the value firft term firſt fquare root ftand fubtract fuch gain gallon given fum given number given quantity greateſt grofs guineas improper fraction inches Integer laft laſt leaft lefs left hand Livres Livres Tournois lofs logarithm meaſure mixed number moidores months muft Mult multiplicand Multiply muſt Newyork number of terms pence pounds prefent worth principal PROB proportion purchaſe queftion quotient rate per cent ratio Reduce remainder RULE Rule.-Multiply Southcarolina Subtrahend Suppofe TABLE tare third thofe thoſe thouſand triple TROY WEIGHT VULGAR FRACTIONS weight whofe whole numbers yards coft ΙΟ
Popular passages
Page 243 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 216 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division...
Page 12 - I = One. II = Two. III = Three. IV = Four. V = Five. VI = Six. VII = Seven. VIII = Eight. IX = Nine. X = Ten. XI = Eleven.
Page 334 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other. RULE.
Page 73 - Multiply each numerator into all the denominators, except its own, for a new numerator, and all the denominators into each other continually, for a common denominator.
Page 72 - Multiply all the numerators continually together for a new numerator, and all the denominators for a new denominator, and they will form the simple fraction required.
Page 91 - ... therefore, divide as in whole numbers, and, from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 216 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of. 2. Find the greatest square number in the first, or left hand period...
Page 10 - First, commit the words at the head of the table, viz. units, tens,^ hundreds, &c. to memory, then, to the simple value of each figure, join the name of its place, beginning at the left hand, and reading towards the right.
Page 224 - 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.