A New Introduction to the Science of Algebra ... |
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Page 12
... indicates Addition . - , which is read minus , and indicates Subtraction , X , which indicates Multiplication . " C 66 Division . Proportion . = , which signifies Equality . V 16 66 Square 12 ARITHMETIC . Explanation of signs Addition ...
... indicates Addition . - , which is read minus , and indicates Subtraction , X , which indicates Multiplication . " C 66 Division . Proportion . = , which signifies Equality . V 16 66 Square 12 ARITHMETIC . Explanation of signs Addition ...
Page 39
... indicated . When both terms of the complex fraction are fractional , we have a fraction to be di- vided by a fraction ; might be written +7 , or ( 23 ) § × 4 = 33. This operation , though written in a different form , is evidently the ...
... indicated . When both terms of the complex fraction are fractional , we have a fraction to be di- vided by a fraction ; might be written +7 , or ( 23 ) § × 4 = 33. This operation , though written in a different form , is evidently the ...
Page 65
... indicated by writing to the right of the given number , and a little above , a small figure expressing the degree . Thus , 238 is the 3d power of 2. This figure is called the index or exponent of the power . = 42 = 16 is the 2d power of ...
... indicated by writing to the right of the given number , and a little above , a small figure expressing the degree . Thus , 238 is the 3d power of 2. This figure is called the index or exponent of the power . = 42 = 16 is the 2d power of ...
Page 78
... Indicating by means of signs , the same arithmetical opera- tions as were performed upon the proportion above , we have , α by reducing the fractions and tor , b d to a common denomi- a x d cx b - bxd b x d In this , as in the former ...
... Indicating by means of signs , the same arithmetical opera- tions as were performed upon the proportion above , we have , α by reducing the fractions and tor , b d to a common denomi- a x d cx b - bxd b x d In this , as in the former ...
Page 83
... indicate the multiplication , precisely in the same way , as if it were a num- ber to be multiplied by 5. For the number we should write 5 X 12 , and for the unknown quantity 5 Xx , or simply 5 x , without the sign . Suppose 10 X 21 is ...
... indicate the multiplication , precisely in the same way , as if it were a num- ber to be multiplied by 5. For the number we should write 5 X 12 , and for the unknown quantity 5 Xx , or simply 5 x , without the sign . Suppose 10 X 21 is ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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...
Page 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...
Page 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...
Page 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.
Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 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.
Page 78 - In any proportion, the product of the means is equal to the product of the extremes.
Page 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.