Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and AcademiesSargent, Wilson & Hinkle, 1848 - 240 σελίδες |
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Αποτελέσματα 1 - 5 από τα 18.
Σελίδα 6
... RADICALS . Involution or Formation of Powers • To raise a Monomial to any given Power Polynomial to any given Power Fraction to any Power Binomial Theorem Extraction of the Square Root Square Root of Numbers Fractions • · Perfect and ...
... RADICALS . Involution or Formation of Powers • To raise a Monomial to any given Power Polynomial to any given Power Fraction to any Power Binomial Theorem Extraction of the Square Root Square Root of Numbers Fractions • · Perfect and ...
Σελίδα 29
... radical sign . When placed before a quantity it indicates that its root is to be extracted . Thus a , or va , denotes the square root of a ; Ja , denotes the cube root of a ; 4 / a denotes the fourth root of a . ART . 38. The number ...
... radical sign . When placed before a quantity it indicates that its root is to be extracted . Thus a , or va , denotes the square root of a ; Ja , denotes the cube root of a ; 4 / a denotes the fourth root of a . ART . 38. The number ...
Σελίδα 30
... radical has no index over it , 2 is understood . Thus , √9 = 3 , √8 = 2 , 4 / 16 = 2 . ART . 39. Every quantity written in algebraic language , that is , by means of algebraic symbols , is called an algebraic quantity , or an ...
... radical has no index over it , 2 is understood . Thus , √9 = 3 , √8 = 2 , 4 / 16 = 2 . ART . 39. Every quantity written in algebraic language , that is , by means of algebraic symbols , is called an algebraic quantity , or an ...
Σελίδα 168
... RADICALS OF THE SECOND DEGREE . INVOLUTION , OR FORMATION OF POWERS . ART . 178. - The term power is used to denote the product aris- ing from multiplying a quantity by itself , a certain number of times , and the quantity which is ...
... RADICALS OF THE SECOND DEGREE . INVOLUTION , OR FORMATION OF POWERS . ART . 178. - The term power is used to denote the product aris- ing from multiplying a quantity by itself , a certain number of times , and the quantity which is ...
Σελίδα 187
... radical . Thus , in the expressions a√ī , and 3√ / 5 , the quantities a and 3 are called coefficients . 1 1 Two radicals are said to be similar , when the quantities under the radical sign are the same in both . Thus , 31/2 and 7√2 ...
... radical . Thus , in the expressions a√ī , and 3√ / 5 , the quantities a and 3 are called coefficients . 1 1 Two radicals are said to be similar , when the quantities under the radical sign are the same in both . Thus , 31/2 and 7√2 ...
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added algebraic quantities apples arithmetical progression arithmetical series binomial bushels called cents a piece coefficient common difference complete equation Completing the square denotes Divide the number dividend division dollars entire quantity equal exactly divide exponent expression extract the square find the greatest Find the product Find the square Find the sum find the value following examples fourth fraction geometrical progression geometrical series Give an example greater greatest common divisor Hence last term least common multiple lemon letter minus monomial negative quantities number of terms peaches perfect square polynomial positive quantity pound of coffee preceding prime factors principle proportion pupil quan question quotient ratio Reduce remainder represent the cost represent the number required the numbers required to find result rule second degree solution square root subtracted theorem three numbers tion tities transposing unknown quantity whole number
Δημοφιλή αποσπάσματα
Σελίδα 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 22 - Required the distance from A to B, from B to C, and from C to D.
Σελίδα 176 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 136 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 122 - A hare is 50 leaps before a greyhound, and takes 4 leaps to the greyhound's 3 ; but 2 of the greyhound's leaps are equal to 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Let x be the number of leaps taken by the hound.
Σελίδα 62 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Σελίδα 78 - To find the greatest common divisor of three or more quantities, first find the greatest common divisor of two of them ; then, of that divisor and one of the other quantities, and so on. The last divisor thus found, will be the greatest common divisor sought.
Σελίδα 59 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Σελίδα 137 - A farmer has 2 horses, and a saddle worth 25 dollars ; now, if the saddle be put on the first horse, his value will be double that of the second ; but, if the saddle be put on the second horse, his value will be three times that of the first.
Σελίδα 219 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.