A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies |
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... Cube Root , · · Application of Square Root , Application of Cube Root , $ 40 . Extraction of Roots of All Degrees , § 41. Arithmetical Progression , 210 212 219 228 236 237 • 239 • § 42. Geometrical Progression , . § 43 . Annuities ...
... Cube Root , · · Application of Square Root , Application of Cube Root , $ 40 . Extraction of Roots of All Degrees , § 41. Arithmetical Progression , 210 212 219 228 236 237 • 239 • § 42. Geometrical Progression , . § 43 . Annuities ...
Page 49
... roots of the power ; thus , 9 , which equals 3 × 3 , is the second power or square of 3 , and 3 is the second or square root of 9 ; 27 , which equals 3 × 3 × 3 , is the third power or cube of 3 , and 3 is the third or cube root of 27 ...
... roots of the power ; thus , 9 , which equals 3 × 3 , is the second power or square of 3 , and 3 is the second or square root of 9 ; 27 , which equals 3 × 3 × 3 , is the third power or cube of 3 , and 3 is the third or cube root of 27 ...
Page 163
... roots ( 94 , b , Note 1 ) . ( d ) If the square root of each term be taken , the resulting ratio is called the sub - duplicate ratio ; if the cube root , the sub- triplicate ratio ; etc. ( e ) A double or duple ratio is twice a given ...
... roots ( 94 , b , Note 1 ) . ( d ) If the square root of each term be taken , the resulting ratio is called the sub - duplicate ratio ; if the cube root , the sub- triplicate ratio ; etc. ( e ) A double or duple ratio is twice a given ...
Page 206
... cube of 3 . 81 , the 4th power , or biquadrate of 3 . 3 X 3 X 3X 3X3 = 243 ... root of the other powers ( 94 , b , Note 5 ) . 300. The process of ... root ( 94 , b , Note 2 ) ; thus , 4 X 4 is written 42 , and is read , the square of 4 ...
... cube of 3 . 81 , the 4th power , or biquadrate of 3 . 3 X 3 X 3X 3X3 = 243 ... root of the other powers ( 94 , b , Note 5 ) . 300. The process of ... root ( 94 , b , Note 2 ) ; thus , 4 X 4 is written 42 , and is read , the square of 4 ...
Page 209
... root or of one less than twice as many ; the cube of a num- ber will consist of three times as many as the root or of one or two less than three times as many ; etc. 311. The square of units cannot consist of a higher order of figures ...
... root or of one less than twice as many ; the cube of a num- ber will consist of three times as many as the root or of one or two less than three times as many ; etc. 311. The square of units cannot consist of a higher order of figures ...
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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.