A New Introduction to the Science of Algebra... |
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Page 9
... tity compared with an inch , but small compared with the diameter of the earth ; and this again is a small quantity compared with the distance of the earth from the sun . ( 2. ) It is evident , therefore , that in order to measure a ...
... tity compared with an inch , but small compared with the diameter of the earth ; and this again is a small quantity compared with the distance of the earth from the sun . ( 2. ) It is evident , therefore , that in order to measure a ...
Page 87
... tities , that in order to determine it , we are under the necessity of making use of two or more proportions . The following is a question of this kind : - If the wages of 4 men , for 7 days , be 42 dollars , what will be the wages of ...
... tities , that in order to determine it , we are under the necessity of making use of two or more proportions . The following is a question of this kind : - If the wages of 4 men , for 7 days , be 42 dollars , what will be the wages of ...
Page 97
... tity which has all its terms of the same degree , is said to be homogeneous : 4a5 + 2a2b3 - 3abc3 + b * c , is therefore ho- mogeneous , and of the 5th degree . Similar terms are those which contain the same letters in the same powers ...
... tity which has all its terms of the same degree , is said to be homogeneous : 4a5 + 2a2b3 - 3abc3 + b * c , is therefore ho- mogeneous , and of the 5th degree . Similar terms are those which contain the same letters in the same powers ...
Page 99
... tities , and take the difference between the sums : affect this difference with the sign which belonged to the greatest sum : this difference , written before the letters common to all the similar terms , will be the single term ...
... tities , and take the difference between the sums : affect this difference with the sign which belonged to the greatest sum : this difference , written before the letters common to all the similar terms , will be the single term ...
Page 101
... tities , and take the difference between the sums : affect this difference with the sign which belonged to the greatest sum : this difference , written before the letters common to all the similar terms , will be the single term ...
... tities , and take the difference between the sums : affect this difference with the sign which belonged to the greatest sum : this difference , written before the letters common to all the similar terms , will be the single term ...
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Common terms and phrases
2d power 3ab² a²-b² a²b ab² added algebraic quantity antecedents Arith arithmetical progression becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Demonstration Divide dividend division dollars equation evident EXAMPLES exponent expressed 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 merator minuend mixed number multiplicand Multiply nator number of terms operation orders of units polynomials Prod quan quotient ratio Reduce remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing unity unknown quantity vulgar fraction whence whole number writing written
Popular passages
Page 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.
Page 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.
Page 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.
Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
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.
Page 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.
Page 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
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 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.