The principles of arithmetic |
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... Roots , . Involution , Evolution , Extraction of the Square Root , Extraction of the Cube Root , Progression , Arithmetical Progression , Geometrical Progression , Harmonical Progression , Logarithms , Continued Fractions , 220 226 229 ...
... Roots , . Involution , Evolution , Extraction of the Square Root , Extraction of the Cube Root , Progression , Arithmetical Progression , Geometrical Progression , Harmonical Progression , Logarithms , Continued Fractions , 220 226 229 ...
Página 229
... root of 125 ; that 1,296 is a power of 6 , or that 6 is a root of 1,296 ; and so on : 49-7X7 ; 125 = 5X5X5 ; 1,296 = 6 × 6 × 6 × 6 ; & c . 215. The number denoting how many times the root is POWERS AND ROOTS . 229 Powers and Roots,
... root of 125 ; that 1,296 is a power of 6 , or that 6 is a root of 1,296 ; and so on : 49-7X7 ; 125 = 5X5X5 ; 1,296 = 6 × 6 × 6 × 6 ; & c . 215. The number denoting how many times the root is POWERS AND ROOTS . 229 Powers and Roots,
Página 230
... root of 49 ; that 125 is the third power of 5 , or that 5 is the third root of 125 ; that 1,296 is the fourth power of 6 , or that 6 is the fourth root of 1,296 ; and so on . Here the indices are 2 , 3 , 4 , & c . , and are written in ...
... root of 49 ; that 125 is the third power of 5 , or that 5 is the third root of 125 ; that 1,296 is the fourth power of 6 , or that 6 is the fourth root of 1,296 ; and so on . Here the indices are 2 , 3 , 4 , & c . , and are written in ...
Página 231
... roots and in- dices are given , is called INVOLUTION . Every exercise in Involution , it is hardly necessary to observe ... root , would be said to have been raised ( or " involved " ) to the fifth power . 219. The product of two or more ...
... roots and in- dices are given , is called INVOLUTION . Every exercise in Involution , it is hardly necessary to observe ... root , would be said to have been raised ( or " involved " ) to the fifth power . 219. The product of two or more ...
Página 234
... root of 529 is 23 , or that the cube root of 4,913 is 17 , or that the fourth root of 20,736 is 12 ; in other words , when we " extract " ( or " evolve " ) the square root of 529 , or the cube root of 4,913 , or the fourth root of ...
... root of 529 is 23 , or that the cube root of 4,913 is 17 , or that the fourth root of 20,736 is 12 ; in other words , when we " extract " ( or " evolve " ) the square root of 529 , or the cube root of 4,913 , or the fourth root of ...
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Términos y frases comunes
acres addends amount annex annuity arithmetical mean arithmetical progression Avoirdupois bill called cent centimes ciphers circulating decimal column common difference common ratio convert cost-price cube root decimal fraction decimal point denominator digit divide division divisor dwts employed equal exact number EXAMPLE exceeds expressed falling due farthings fourth term fractional unit gallon geometrical mean geometrical progression given number greatest common measure hundred hundredths inches instalments Irish larger number least common multiple left-hand length less logarithm mantissa MILLIONTHS minuend multiplicand multiply notes number of terms obtain occupies partial dividend pence perches period pounds present value prime factors principal Proportion remainder remove the decimal represent respectively resulting quotient right-hand root-figure senary shillings simple numbers smaller square root subtracting subtrahend tens tenths third term thousandths trial-dividend trial-divisor vulgar fraction whilst whole number write yards ΙΟ
Pasajes populares
Página 56 - To divide by 10, 100, 1000, etc., it is necessary only to move the decimal point in the dividend as many places to the left as there are ciphers in the divisor.
Página 45 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Página 140 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Página 70 - MEASURE. 144 Square inches (sq. in.) make 1 Square foot, sq. ft. 9 Square feet " 1 Square yard, sq. yd. 30¿ Square yards " 1 Square rod or pole, p. 40 Square rods
Página 70 - Square Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq.
Página 64 - If the divisor contains decimal places, we may remove the decimal point from the divisor, provided we carry the decimal point in the dividend as many places to the right as there are decimal places in the divisor.
Página 332 - The book should be in the hands of every student of the history of Ireland.
Página 268 - Multiply the sum of the extremes by half the number of terms, and the product is the sum required.
Página 255 - Seek the greatest cube in the first period, and set its root on the right after the manner of a quotient in division. Subtract the cube of this figure from the first period, and to the remainder bring down the first figure of the next period, and call the number the dividend.
Página 69 - Span: 9 inches or 22.86 cm. Derived from the distance between the end of the thumb and the end of the little finger when both are outstretched.