An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gray, Little, and Wilkins, 1828 - 276 σελίδες |
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Σελίδα 3
... rules of arithmetic ; and these are applied so simply , that scarcely any one can mistake them , if left entirely to himself . One or two questions are solved first with little explanation in order to give the learner an idea of what is ...
... rules of arithmetic ; and these are applied so simply , that scarcely any one can mistake them , if left entirely to himself . One or two questions are solved first with little explanation in order to give the learner an idea of what is ...
Σελίδα 4
... rules . Here he is first taught to represent known quantities by letters , and at the same time the purpose of it . The ... rule itself is the same that has always been used . The manner of treating and demonstrating the principle of ...
... rules . Here he is first taught to represent known quantities by letters , and at the same time the purpose of it . The ... rule itself is the same that has always been used . The manner of treating and demonstrating the principle of ...
Σελίδα 13
... rules can be given for putting questions into equations ; this must be learned by practice ; but rules may be found for solving most of the equations that ever occur . After the preceding questions were put into equation , the first ...
... rules can be given for putting questions into equations ; this must be learned by practice ; but rules may be found for solving most of the equations that ever occur . After the preceding questions were put into equation , the first ...
Σελίδα 35
... rule 60 3 x , subtracted from 7 x , leaves 7 x 60 + 3x ; for 60 is too much to be subtracted by 3 x . By the conditions , 7x - 60 + 3x = 80 . Transposing and uniting , Dividing by 10 , 20 10x140 . x = 14 = days he worked . - X 6 dem ...
... rule 60 3 x , subtracted from 7 x , leaves 7 x 60 + 3x ; for 60 is too much to be subtracted by 3 x . By the conditions , 7x - 60 + 3x = 80 . Transposing and uniting , Dividing by 10 , 20 10x140 . x = 14 = days he worked . - X 6 dem ...
Σελίδα 37
... rule could be given for putting ques- tions into equation , but there is a precept which may be very useful . Take the unknown quantity , and perform the same operations on it , that it would be necessary to perform on the answer to see ...
... rule could be given for putting ques- tions into equation , but there is a precept which may be very useful . Take the unknown quantity , and perform the same operations on it , that it would be necessary to perform on the answer to see ...
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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?