A New Introduction to the Science of Algebra ...F. J. Huntington, 1836 - 304 σελίδες |
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Αποτελέσματα 6 - 10 από τα 59.
Σελίδα 48
... obtain 1 1 3,4 ; again 2+ ; and sub- stituting this in the place of , the fraction becomes 1 3 + 1 2+ Operating in the same manner upon 2 , we find fraction , it becomes 1 1 + 1 ' which , being substituted in the place of in the ...
... obtain 1 1 3,4 ; again 2+ ; and sub- stituting this in the place of , the fraction becomes 1 3 + 1 2+ Operating in the same manner upon 2 , we find fraction , it becomes 1 1 + 1 ' which , being substituted in the place of in the ...
Σελίδα 50
... obtained previous to the last multi- plication . For reducing a continued fraction to a simple one , we have , therefore , the following RULE . Beginning at the last denominator , multiply succes- sively by all the denominators , adding ...
... obtained previous to the last multi- plication . For reducing a continued fraction to a simple one , we have , therefore , the following RULE . Beginning at the last denominator , multiply succes- sively by all the denominators , adding ...
Σελίδα 89
... 12 . Multiplying these proportions term by term , we have , 5 × 2 : 4x103 × 6 : 12x6 ; and dividing the second ratio of this last proportion by 6 , we obtain 5x24x10 = 3:12 . Again , take the proportion 9 : 3 = 12 COMPOUND PROPORTION . 89.
... 12 . Multiplying these proportions term by term , we have , 5 × 2 : 4x103 × 6 : 12x6 ; and dividing the second ratio of this last proportion by 6 , we obtain 5x24x10 = 3:12 . Again , take the proportion 9 : 3 = 12 COMPOUND PROPORTION . 89.
Σελίδα 90
... obtain the result , axe × h × m : b × ƒ × i × n = co . By proceeding in the same manner with any number of proportions , we should evidently obtain a like result . This is the same as taking the products of all the proportions which ...
... obtain the result , axe × h × m : b × ƒ × i × n = co . By proceeding in the same manner with any number of proportions , we should evidently obtain a like result . This is the same as taking the products of all the proportions which ...
Σελίδα 93
Silas Totten. From the second , by a like process , we obtain , or , x - 4y - 4x + 4 = 1 : 3 , 3C ― 4 : y - x = 1 : 3 . And dividing these results , term by term , we have ( 70 ) , x + 4 x 4 3 1 1 = 1 3 4 , and the second by 3 ( 67 ) , x ...
Silas Totten. From the second , by a like process , we obtain , or , x - 4y - 4x + 4 = 1 : 3 , 3C ― 4 : y - x = 1 : 3 . And dividing these results , term by term , we have ( 70 ) , x + 4 x 4 3 1 1 = 1 3 4 , and the second by 3 ( 67 ) , x ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² 2d power 4th power a²b² a²x a²x² added additive terms algebraic quantities Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained cube root dividend division dollars equa evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letter logarithms lowest terms merator mixed quantity monomial multiplicand nth root number of terms obtain polynomial Prod proportion quan quotient ratio remainder required to find result RULE simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Σελίδα 184 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 186 - ... of the sum of the shares of the other three, the share of the second ^ of the sum of the other three, and the share of the third...
Σελίδα 70 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Σελίδα 63 - To divide a Decimal by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor...
Σελίδα 187 - What fraction is that, whose numerator being doubled, and denominator increased by 7, the value becomes §; but the denominator being doubled, and the numerator increased by 2, the value becomes f 1 Ans.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Σελίδα 62 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 78 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.