Ray's Algebra, Part First: On the Analytic and Inductive Methods of Instruction, with Numerous Practical Exercises, Designed for Common Schools and Academies, Part 1 |
From inside the book
Results 1-5 of 18
Page 6
... Radicals of the Second Degree - Definitions 198 187 Reduction 199 188 Addition 200 189 Subtraction 201 190 Multiplication Division . 202 191 203 192 To render Rational , the Denominator of a Fraction containing Radicals 204 193 Simple ...
... Radicals of the Second Degree - Definitions 198 187 Reduction 199 188 Addition 200 189 Subtraction 201 190 Multiplication Division . 202 191 203 192 To render Rational , the Denominator of a Fraction containing Radicals 204 193 Simple ...
Page 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 ; / a , denotes the cube root of a ; a denotes the fourth root of a . ART . 38. The number placed ...
... 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 ; / a , denotes the cube root of a ; a denotes the fourth root of a . ART . 38. The number placed ...
Page 30
... radical has no index over it , 2 is understood . Thus , √9 = 3 , √8 = 2 , 1 / 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 , 1 / 16 = 2 . ART . 39. Every quantity written in algebraic language , that is , by means of algebraic symbols , is called an algebraic quantity , or an ...
Page 168
... RADICALS OF THE SECOND ᎠᎬᏩᎡᎬᎬ . 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 ...
... RADICALS OF THE SECOND ᎠᎬᏩᎡᎬᎬ . 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 ...
Page 187
... radical . Thus , in the expressions ab , 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 , 3/2 and 7√ / 2 ...
... radical . Thus , in the expressions ab , 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 , 3/2 and 7√ / 2 ...
Other editions - View all
Common terms and phrases
acre added algebraic quantities apples arithmetical progression arithmetical series binomial Binomial Theorem bought bushels coefficient common difference complete equation Completing the square cost Divide the number dividend division dollars entire quantity equal EQUATIONS CONTAINING exactly divide exponent expressed extract the square Find a number Find the cube Find the product Find the square Find the sum find the value following examples fraction geometrical progression geometrical series Give an example greater greatest common divisor Hence least common multiple lemons less number letter minus monomial negative quantity number of places number of terms oranges perfect square polynomial positive quantity preceding principle proportion pupil quan question quotient radical sign ratio reduced remainder represent the number required the numbers required to find result second degree second power solution solving square root three numbers tities Transposing twice unknown quantity whole number yards
Popular passages
Page 60 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 106 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 178 - 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.
Page 235 - In any proportion the product of the means is equal to the product of the extremes.
Page 124 - 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.
Page 217 - If, then, any problem furnishes an equation in which the known term is negative, and greater than the square of half the coefficient of the first power of the unknown quantity, we infer, that the conditions of the problem are incompatible with each other.
Page 64 - That is, 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.
Page 81 - The least Common Multiple of two or more quantities is the least quantity that will contain them exactly. Thus, 6 is the least common multiple of 2 and 3 ; and lOxy is the least common multiple of 2x and by. NOTE. — LCM stands for least common multiple.
Page 232 - If we compare the numbers 2 and 6, by the first method, we say that 2 is 4 less than 6, or that 6 is 4 greater than 2. If we compare 2 and 6 by the second method, we say that 6 is equal to three times 2, or that 2 is one third of 6.