An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesHowe & Deforest, 1814 - 303 páginas |
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Página 5
... simple and obvious , that no one possessing a moderate acquaintance with the subject , could fail to supply it for himself . But this liberty of omission ought not to be extended , to cases in which it might occasion obscurity and ...
... simple and obvious , that no one possessing a moderate acquaintance with the subject , could fail to supply it for himself . But this liberty of omission ought not to be extended , to cases in which it might occasion obscurity and ...
Página 8
... simple subjects , and ascending gradu- ally to those which are more complicated ; the mind acquires strength , as it advances ; and by a succession of steps , rising regularly one above another , is ena- bled to surmount the obstacles ...
... simple subjects , and ascending gradu- ally to those which are more complicated ; the mind acquires strength , as it advances ; and by a succession of steps , rising regularly one above another , is ena- bled to surmount the obstacles ...
Página 11
... simple example : sup- pose it is required to multiply together 74 , 23 and 41. By arithmetic , the product is found to be 69762 . This product , however , would not of itself suggest 12 ALGEBRA . the numbers which had been multiplied ...
... simple example : sup- pose it is required to multiply together 74 , 23 and 41. By arithmetic , the product is found to be 69762 . This product , however , would not of itself suggest 12 ALGEBRA . the numbers which had been multiplied ...
Página 14
... simple quantity is either a single letter or number , or several letters connected together , with- out the signs and Thus a , ab , abd , and 86 are each of them simple quantities . A compound • NOTATION . - . 15 quantity consists of a.
... simple quantity is either a single letter or number , or several letters connected together , with- out the signs and Thus a , ab , abd , and 86 are each of them simple quantities . A compound • NOTATION . - . 15 quantity consists of a.
Página 15
... simple quantities , connected by the sign + or Thus a + b , dy , b - d3h , are each compound quantities . The members , of which it is composed , are called terms . 37. If there are two terms in a compound quan- tity , it is called a ...
... simple quantities , connected by the sign + or Thus a + b , dy , b - d3h , are each compound quantities . The members , of which it is composed , are called terms . 37. If there are two terms in a compound quan- tity , it is called a ...
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Términos y frases comunes
12 rods abscissa added algebraic antecedent applied arithmetic become binomial calculation called Clearing of fractions co-efficients Completing the square compound quantity consequent cube root cubic equation curve demonstration denominator diminished dividend division divisor dollars equa equal quantities errour Euclid exponents expressed Extracting and transp factors fourth geometrical geometrical progression given quantity greater Hence inches infinite series inverted involution last term less letters manner mathematics Mult multiplicand negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive prefixed principle Prob Prod proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule SECTION sides square root substituted subtracted subtrahend supposed supposition theorem third tion tity Transposing transposition triangle twice uniting terms unknown quantity varies vulgar fraction whole
Pasajes populares
Página 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Página 188 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Página 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Página 227 - 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.
Página 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Página 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Página 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Página 187 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Página 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Página 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...