The elements of algebraParker, 1845 - 287 σελίδες |
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Σελίδα 5
... numerator and denominator by 3. That the value of the fraction is not altered appears from Art . 12 . In the same manner 168 84 28 4 = = = 210 105 35 5 · 19. The " Greatest Common Measure " of two numbers VULGAR FRACTIONS . 5.
... numerator and denominator by 3. That the value of the fraction is not altered appears from Art . 12 . In the same manner 168 84 28 4 = = = 210 105 35 5 · 19. The " Greatest Common Measure " of two numbers VULGAR FRACTIONS . 5.
Σελίδα 6
... appears that 7 is the last divisor , or the Greatest Common Measure sought . The proof of this rule will be given hereafter . See Art . 103 . 20. A fraction is reduced to its lowest terms by dividing its numerator and denominator by ...
... appears that 7 is the last divisor , or the Greatest Common Measure sought . The proof of this rule will be given hereafter . See Art . 103 . 20. A fraction is reduced to its lowest terms by dividing its numerator and denominator by ...
Σελίδα 14
... appears , that a fraction may be multiplied by a whole number by dividing the denominator by that number , when this division can take place . Much trouble is frequently saved by observing what multipliers are common to the new ...
... appears , that a fraction may be multiplied by a whole number by dividing the denominator by that number , when this division can take place . Much trouble is frequently saved by observing what multipliers are common to the new ...
Σελίδα 23
... appears , by actual division , that 1 0.11111 1 0.010101 99 1 = 0.001001 999 1 9999 = 0.00010001 and so on ; where the recurring part of the decimal is always 1 , preceded by as many ciphers as make the number of recurring digits equal ...
... appears , by actual division , that 1 0.11111 1 0.010101 99 1 = 0.001001 999 1 9999 = 0.00010001 and so on ; where the recurring part of the decimal is always 1 , preceded by as many ciphers as make the number of recurring digits equal ...
Σελίδα 25
... appears to be 66979166 & c . The conclusion will be the same if we reduce the quantity to a vulgar fraction ( Art . 28 ) , and this fraction to a decimal ( Art . 51. ) 57. It will often happen in practice that a whole series of vulgar ...
... appears to be 66979166 & c . The conclusion will be the same if we reduce the quantity to a vulgar fraction ( Art . 28 ) , and this fraction to a decimal ( Art . 51. ) 57. It will often happen in practice that a whole series of vulgar ...
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a+b+c a²x² algebraical quantities annuity Arithmetical Progression Binomial Theorem coefficient common denominator compound interest continued fraction cube root difference digits divided divisible divisor equal equation expressed extracting the square factors Find the G. C. M. find the number Find the square Find the value given greater Greatest Common Measure Hence Least Common Multiple less lowest terms Mult multiplied negative number of combinations number of terms numerator and denominator positive integers Present Value prime number probability proposed quantity prove quadratic quadratic equation quotient ratio reduced remainder represent rule shew shillings square root subtracted supposition surd unknown quantities vulgar fraction whole number
Δημοφιλή αποσπάσματα
Σελίδα 286 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Σελίδα 139 - Article, — j— = — -=- ; oa bd also - =" — j ac , , a—bb c—dd a—b c- d therefore - x - = — -- x - or = j bade ac or a — b : a :: c — d : c, and inversely, a '. a — b :: c : c — d. This operation is called convertendo. 396. When four quantities are proportionals, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Σελίδα 77 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.
Σελίδα 107 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.
Σελίδα 4 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 132 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Σελίδα civ - The hold of a vessel partly full of water (which is uniformly increased by a leak) is furnished with two pumps worked by A and B, of whom A takes three strokes to two of .B's ; but four of .B's throw out as much water as five of A's. Now...
Σελίδα 31 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Σελίδα 112 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
Σελίδα 3 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.