A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies |
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Page 164
... extremes is equal to the product of the means ; thus , in 8 : 4 :: 6 : 3 , we have 8 × 3 = 4 X 6 ; for , from the ... extremes is equal to the pro- duct of the means , any one term may be found when the other three are given ; for the ...
... extremes is equal to the product of the means ; thus , in 8 : 4 :: 6 : 3 , we have 8 × 3 = 4 X 6 ; for , from the ... extremes is equal to the pro- duct of the means , any one term may be found when the other three are given ; for the ...
Page 165
... extreme are given , we find the 2d extreme by dividing the product of the means by the given ex- treme ( 256 ) ; thus , 6 X 530 and 30 ÷ 3 = 10 Ans . as before . Every example in Simple Proportion is solved in like manner . Hence , RULE ...
... extreme are given , we find the 2d extreme by dividing the product of the means by the given ex- treme ( 256 ) ; thus , 6 X 530 and 30 ÷ 3 = 10 Ans . as before . Every example in Simple Proportion is solved in like manner . Hence , RULE ...
Page 239
... extremes ; the others , means . The dif- ference between any two successive terms is the common differ- ence . 340. In Arithmetical Progression , five particulars claim special attention : · - . 1st . The first term . 2d . The last term ...
... extremes ; the others , means . The dif- ference between any two successive terms is the common differ- ence . 340. In Arithmetical Progression , five particulars claim special attention : · - . 1st . The first term . 2d . The last term ...
Page 241
... extremes is equal to the common difference multiplied by 1 less than the number of terms ; e . g . the difference beween the 1st and 6th terms in the 1st series , Art . 343 ( 23-320 ) , 21 ARITHMETICAL PROGRESSION . 241.
... extremes is equal to the common difference multiplied by 1 less than the number of terms ; e . g . the difference beween the 1st and 6th terms in the 1st series , Art . 343 ( 23-320 ) , 21 ARITHMETICAL PROGRESSION . 241.
Page 242
... extremes and number of terms being given , to find the common difference , RULE . - Divide the difference of the extremes by the number of terms less one , and the quotient will be the common difference . Ex . 1. The extremes of an ...
... extremes and number of terms being given , to find the common difference , RULE . - Divide the difference of the extremes by the number of terms less one , and the quotient will be the common difference . Ex . 1. The extremes of an ...
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Common terms and phrases
2d Principal acres altitude amount angle annex annuity arithmetical arithmetical series base Bought breadth bushels cent ciphers circle circumference common difference compound interest cost cube root cubic debt decimal fraction decimal places diameter Divide dividend divisible dollars dominical letter equal equated example feet long figure frustum gain gallons given number greatest common measure Hence hundred inches insured interest of $1 least common multiple length lower denomination marked price miles minuend months multiplicand Multiply NOTE number of terms OPERATION oxen payable payment plane polygon pound present worth PROB proportion quotient radius ratio Reduce remainder repetend rods RULE RULE.-Divide RULE.-Multiply separatrix Sept side simple slant height sold solid sphere square root subtract subtrahend surface thick thousandths trial divisor triangle Troy weight units vulgar fraction weight whole number wide yards
Popular passages
Page 26 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 76 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 43 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 80 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.
Page 210 - The square root of a number is one of its two equal factors.
Page 223 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 141 - RULE. Divide the given interest by the interest of the principal, for the given time, at 1 per cent., and the quotient will be the rate.
Page 51 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 33 - To divide by 10, 100, &c., we simply cut off as many figures from the right of the dividend as there are ciphers in the divisor.
Page 75 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.