The practice and theory of arithmetic |
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Página xii
... equal to the sum of the products of each part of the multiplicand and multiplier PROP . 8. - To prove that the product of two numbers is equal to the sum of the products of the multiplicand by each part of the multiplier PROP . 9. - To ...
... equal to the sum of the products of each part of the multiplicand and multiplier PROP . 8. - To prove that the product of two numbers is equal to the sum of the products of the multiplicand by each part of the multiplier PROP . 9. - To ...
Página xiii
... equal to that of the means , and conversely · · . 155 157 • 158 . 159 . 159 160 • 160 161 PROP . 48. - To find a fourth proportional to three given numbers PROP . 49. To find a third proportional to two given numbers PROP . 50. - To ...
... equal to that of the means , and conversely · · . 155 157 • 158 . 159 . 159 160 • 160 161 PROP . 48. - To find a fourth proportional to three given numbers PROP . 49. To find a third proportional to two given numbers PROP . 50. - To ...
Página xiv
... equal to the pro- duct of the degrees of the two PROP . 67. - The power of a product is equal to the product of the powers of the factors • 171 • 171 171 · 172 . PROP . 68. - The square of a number is equal to the sum of the squares of ...
... equal to the pro- duct of the degrees of the two PROP . 67. - The power of a product is equal to the product of the powers of the factors • 171 • 171 171 · 172 . PROP . 68. - The square of a number is equal to the sum of the squares of ...
Página xv
... equal to the sum of the . • . extremes PROP . 78. - To find the sum of an Arithmetic Series PROP . 79. - To find any required term of an Arithmetic Series PAGE 180 180 . 180 . PROP . 80. - To find any required term in a Geometric Series ...
... equal to the sum of the . • . extremes PROP . 78. - To find the sum of an Arithmetic Series PROP . 79. - To find any required term of an Arithmetic Series PAGE 180 180 . 180 . PROP . 80. - To find any required term in a Geometric Series ...
Página xvi
... equal to , shews that the expressions between which it stands are equal . { } ( ) , brackets , shew that all quantities placed between them are to be considered as forming one quantity . .. means therefore . ... means because . is ...
... equal to , shews that the expressions between which it stands are equal . { } ( ) , brackets , shew that all quantities placed between them are to be considered as forming one quantity . .. means therefore . ... means because . is ...
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Términos y frases comunes
1st divisor abstract number annuity called ciphers column common measure compound interest COMPOUND QUANTITY cube root decimal places difference digits diminuend dividend division equal equivalent exact number EXAMPLE explain the Rule expressed farthings Find the cost Find the ratio Find the value florins gain or loss given number GIVEN SUM greater than 12 Hence higher denomination hundreds improper fraction inches increased integer less lower denomination mixed number moidore multiplicand multiplier number of decimal number of figures number of tens number of units numerator and denominator operations denoted present value prime factors Principal produce of 100 Prop proper fraction prove the Rule quotient rate per cent recurring decimal Reduce required to find result selling price shew shewn simple fraction subtract subtrahend trial-divisor varies directly vulgar fraction whole number Write yards
Pasajes populares
Página 28 - Remove the decimal point as many places to the right as there are ciphers in the multiplier.
Página 14 - 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.
Página 178 - The sum, therefore, of all the terms of both series, is equal to the sum of the first and last terms multiplied by the number of terms...
Página 152 - 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 157 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 10 - A Common Multiple of two or more numbers is a multiple of each of them.
Página 37 - RULE. 1. Separate the given number into periods of two figures each, by placing a dot over units, hundreds, etc.
Página 69 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Página 5 - Then multiply the divisor by this figure and subtract the product from the figures divided; to the right of the remainder bring down the next figure of the dividend and divide this number as before.
Página 105 - RULE. Multiply each quantity by its price, and divide the sum of the products by the sum of the quantities.