An Algebra Upon the Inductive Method of InstructionMorton & Griswold, 1840 - 288 σελίδες |
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Σελίδα 60
... rule can be given , as the manner must be varied according to the different forms of the two equations . 17. The product of two numbers is 12 , and the sum of their squares is 25. What are the numbers ? Let x = one , And y = the other ...
... rule can be given , as the manner must be varied according to the different forms of the two equations . 17. The product of two numbers is 12 , and the sum of their squares is 25. What are the numbers ? Let x = one , And y = the other ...
Σελίδα 68
... rule , Rule for multiplication . If two numbers have the same sign , if they are both plus , or both minus , their product must have the sign plus ; if they have different signs , if one be plus and the other minus , their product must ...
... rule , Rule for multiplication . If two numbers have the same sign , if they are both plus , or both minus , their product must have the sign plus ; if they have different signs , if one be plus and the other minus , their product must ...
Σελίδα 71
... . they worked ? Let What represents the number of days x = the number of days , Then 5x + 6x = a ( 5 + 6 ) x = α = α α For finding the answer to the preceding question . RULE 5 + 6 11 GENERALIZATION . 71 Generalization 71-77.
... . they worked ? Let What represents the number of days x = the number of days , Then 5x + 6x = a ( 5 + 6 ) x = α = α α For finding the answer to the preceding question . RULE 5 + 6 11 GENERALIZATION . 71 Generalization 71-77.
Σελίδα 72
... RULE . Add together the number of rods each built per day , and divide the whole number of rods by that sum . 3. A man bought three kinds of wine ; one at a , one at b , and one at c shillings per gallon , and of each kind an equal ...
... RULE . Add together the number of rods each built per day , and divide the whole number of rods by that sum . 3. A man bought three kinds of wine ; one at a , one at b , and one at c shillings per gallon , and of each kind an equal ...
Σελίδα 73
... rule for answering the preceding question , and others like it . 7. One man can do a piece of work in a hours , and another in b hours . In what time will both working together do it ? Give the rule . Ans . ab a + b 8. Divide the number ...
... rule for answering the preceding question , and others like it . 7. One man can do a piece of work in a hours , and another in b hours . In what time will both working together do it ? Give the rule . Ans . ab a + b 8. Divide the number ...
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An Algebra Upon the Inductive Method of Instruction John H. Harney Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a-piece affected equation answer approximate root arithmetical progression Assume barrels bought cents chance complete the square cost cubic equation cubic foot denominator differential coefficient Diophantine Analysis Divide the number equa equal factors feet Find a number find the logarithm Find the values Find two numbers flour following equations four fourth power fraction function geometrical progression give given greater Hence hour length less letters lever miles number of dollars pounds power of h preceding question quantity quotient reduced remainder represent the number required to find result rods second member second power second root SECTION sheep shillings square number substitute subtracted Suppose terms multiplied third power third root three numbers tion traveled twice unknown number value of x weight whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 284 - It is required to find three numbers such that the product of the first and second...
Σελίδα 56 - What fraction is that, to the numerator of which if 1 be added, the fraction will be j : but if 1 be added to the denominator, the fraction will be £ 1 Ans.
Σελίδα 284 - A person has two horses, and a saddle worth £50 ; now, if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Σελίδα 16 - A man when he was married, was three times as old as his wife, but after they had lived together 15 years, he was only twice as old. How old was each at the time of marriage ? Ans.
Σελίδα 220 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Σελίδα 157 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Σελίδα 108 - The fourth term contains the unknown quantity raised to a power less by 3 than that of the first term, with a coefficient equal to the sum of all the products which can be made by multiplying any three of the roots with contrary signs.
Σελίδα 219 - It is required to divide the nnmber 10 into three such parts, that if the first be multiplied by 2, the second by 3, and the third by 4, the three products shall be all equal. Ans.
Σελίδα 35 - Ans. $60. 8. What number is that from which if 5 be subtracted, f of the remainder will be 40 ? Ans. 65. 9. A man sold a horse and a chaise for $200, and £ of the price of the horse was equal to J of the price of the chaise.
Σελίδα 284 - ... be put on the back of the third, it will make his value triple that of the first and second: what is the value of each horse ? Ans.