An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 9
... figures ; it will now be shown that the reasoning , previous to calculation , may receive as great assistance from another set of arbitrary signs . Some of the signs have already been explained in Arithme- tic ; they will here be ...
... figures ; it will now be shown that the reasoning , previous to calculation , may receive as great assistance from another set of arbitrary signs . Some of the signs have already been explained in Arithme- tic ; they will here be ...
Σελίδα 13
... figure written before a letter showing how many times the letter is to be taken , is called the coefficient of that letter . In the quantities 7 x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of x . The process of forming an equation ...
... figure written before a letter showing how many times the letter is to be taken , is called the coefficient of that letter . In the quantities 7 x , 15 x , 22 x ; 7 , 15 , 22 , are coefficients of x . The process of forming an equation ...
Σελίδα 67
... figures , because their value de- pends upon the place in which they stand . 3 ab multiplied by 2 cd , for instance , cannot be written 32 a b c d . If it is requir- ed to express the multiplication of the figures as well as of the ...
... figures , because their value de- pends upon the place in which they stand . 3 ab multiplied by 2 cd , for instance , cannot be written 32 a b c d . If it is requir- ed to express the multiplication of the figures as well as of the ...
Σελίδα 68
... figure a little above the letter , and a little to the right of it , to show how many times that letter is a factor in the product . The figure 3 over the a shows , that a enters three times as a factor ; and the 2 over the b , that b ...
... figure a little above the letter , and a little to the right of it , to show how many times that letter is a factor in the product . The figure 3 over the a shows , that a enters three times as a factor ; and the 2 over the b , that b ...
Σελίδα 70
... figures . Add together 17+ 10 and 20 6. Now 20 6 is 14 ---- - and 17+ 10 + 20 — 6 is equal to 17+ 10 + 14 . From the above observations we derive the following rule for the addition of compound quantities . Write the quantities after ...
... figures . Add together 17+ 10 and 20 6. Now 20 6 is 14 ---- - and 17+ 10 + 20 — 6 is equal to 17+ 10 + 14 . From the above observations we derive the following rule for the addition of compound quantities . Write the quantities after ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power 3d root a b c A's share a² b² a² b³ ac² added algebra algebraic quantities apples approximate root Arith arithmetic becomes binomial Binomial Theorem bought breadth bushels coefficient compound interest compound quantities contained decimal denominator difference divide the number dividend division divisor equal equation example exponent expression factor figure formula fourth fraction gallons gives greater Hence length less Let the learner letter logarithm lowest terms merator miles multiplicand negative quantity number of terms observe pears quan question quotient remainder required to find rule second power second root second term shillings sold subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 234 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 97 - Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor.
Σελίδα 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 170 - ... so that each rank may exceed each file by 59 men. What numbers must he place in rank and file ? 9. A grazier bought as many sheep as cost him £60 ; out of which he reserved 15, and sold the remainder for £54, gaining 2 shillings a head by them. How many sheep did he buy, and what was the price of each ? 10. A person bought two pieces of cloth of different sorts ; of which the finer cost 4s. a yard more than the other. For the finer he paid £18 ; but for the coarser, which exceeded the finer...
Σελίδα 35 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.
Σελίδα 229 - RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...
Σελίδα 172 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.
Σελίδα 171 - C, and went every day r\ of the whole journey ; and after he had travelled as many days as he went miles in one day, he met A.
Σελίδα 267 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.
Σελίδα 17 - The head of a fish is 12 inches long, the tail is as long as the head + £ of the body, and the body is as long as the head and tail ; what is the length of the fish?