A New Introduction to the Science of Algebra...F. J. Huntington, 1836 - 304 σελίδες |
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Σελίδα 13
... sum of 8 and 4 is equal to 12 . ✓ 6 signifies the square root of the number ... find how many times the smaller number is contained in the larger . Addition ... sum of two or more numbers . The sign of addition is + , and is read plus ...
... sum of 8 and 4 is equal to 12 . ✓ 6 signifies the square root of the number ... find how many times the smaller number is contained in the larger . Addition ... sum of two or more numbers . The sign of addition is + , and is read plus ...
Σελίδα 14
... sum . Demonstration of the Rule . - This rule depends upon the principles of notation , ( 5 ) for since ten units of the first order are equal to one of the second order , when we have taken the sum of the units of one order , and find ...
... sum . Demonstration of the Rule . - This rule depends upon the principles of notation , ( 5 ) for since ten units of the first order are equal to one of the second order , when we have taken the sum of the units of one order , and find ...
Σελίδα 15
... sum to the upper number . If , in either case , the result agrees with the former , the work is presumed to be correct . SUBTRACTION . ( 8. ) Subtraction consists in finding ... addition , placing the less number under the greater . Begin at ...
... sum to the upper number . If , in either case , the result agrees with the former , the work is presumed to be correct . SUBTRACTION . ( 8. ) Subtraction consists in finding ... addition , placing the less number under the greater . Begin at ...
Σελίδα 16
... sum must equal the minuend . EXAMPLES 1. From 9092 subtract 7835 9092 7835 1257 Having written the numbers as ... find the whole difference 1257 , which added to the subtrahend , will produce the minuend . If the left hand figure in the ...
... sum must equal the minuend . EXAMPLES 1. From 9092 subtract 7835 9092 7835 1257 Having written the numbers as ... find the whole difference 1257 , which added to the subtrahend , will produce the minuend . If the left hand figure in the ...
Σελίδα 23
... find the hundreds of the quotient , we must add the 3000 remainder and the hundreds of the dividend together ; their sum is 3800 , in which 4 is contained 900 times , with a remainder of 200 , which must be added to the tens in order to get ...
... find the hundreds of the quotient , we must add the 3000 remainder and the hundreds of the dividend together ; their sum is 3800 , in which 4 is contained 900 times , with a remainder of 200 , which must be added to the tens in order to get ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
2ab+b² 2d power 4th power a²b² a²x added algebraic quantity antecedents Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction dividend division dollars 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 letters logarithms lowest terms mean terms multiplicand Multiply nator nth root number of terms obtain operation polynomial Prod quan quotient ratio remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity Va² vulgar fraction whence whole number writing written
Δημοφιλή αποσπάσματα
Σελίδα 268 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Σελίδα 136 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Σελίδα 167 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Σελίδα 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
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.
Σελίδα 277 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on.
Σελίδα 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
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 267 - A and B set off at the same time, to a place at the distance of 150 miles. A travels 3 miles an hour faster than B, and arrives at his journey's end 8 hours and 20 minutes before him.