The elements of algebra |
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Página ix
... fourth century , the arithmetic of the ancients contained only the four fundamental rules , and the extraction of the square and cube roots , when Diophantus ( 350 A. D. ) , one of the most distinguished Grecian mathematicians of the ...
... fourth century , the arithmetic of the ancients contained only the four fundamental rules , and the extraction of the square and cube roots , when Diophantus ( 350 A. D. ) , one of the most distinguished Grecian mathematicians of the ...
Página xii
... fourth degree . The science now began to be cultivated in Germany , and its notation was considerably improved by the ingenuity of Stifel , a Protestant clergyman , who published an excellent treatise of Algebra , entitled Arithmetica ...
... fourth degree . The science now began to be cultivated in Germany , and its notation was considerably improved by the ingenuity of Stifel , a Protestant clergyman , who published an excellent treatise of Algebra , entitled Arithmetica ...
Página xiii
... fourth degree . He also introduced the terms affirmative and negative , pure and adfected , and coefficient . Simon Stevin , of Bruges , an eminent engineer , invented fractional exponents , as before stated , and a general method for ...
... fourth degree . He also introduced the terms affirmative and negative , pure and adfected , and coefficient . Simon Stevin , of Bruges , an eminent engineer , invented fractional exponents , as before stated , and a general method for ...
Página xiv
... fourth terms thus , a.b :: c.d . By the radical sign , with q placed over it , he denoted the square root ; with c over it , the cube root ; and with qq , the fourth root . He is also the first known to express decimal frac- tions ...
... fourth terms thus , a.b :: c.d . By the radical sign , with q placed over it , he denoted the square root ; with c over it , the cube root ; and with qq , the fourth root . He is also the first known to express decimal frac- tions ...
Página xv
... fourth degree . He also effected some improvements in the notation , by appropriating the first letters of the alphabet to known , and the last to unknown , quantities . Descartes was also devoted to the study of metaphysics ; and ...
... fourth degree . He also effected some improvements in the notation , by appropriating the first letters of the alphabet to known , and the last to unknown , quantities . Descartes was also devoted to the study of metaphysics ; and ...
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Términos y frases comunes
a²x a²x² a³x algebraical Algebraical Fractions annuity assumed ax² ax³ binomial coefficients continued fraction cube root cubic equation denote Divide dividend divisible divisor equa equal equations containing equidifferent evident EXAMPLES EXERCISES exponent expressed factors Find a number Find the cube Find the least Find the square Find the sum Find the value Find two numbers former given equations given quantity greatest common measure harmonic mean hence last term latter least common multiple Let the number logarithms method Multiply nth root number of terms permutations positive preceding prefixed proportional equation quadratic quan quotient radical sign ratio Rationalise the denominator Reduce relatively prime remainder required the numbers result rule second term solution square root subtract system of values taken theorem third tion tity unknown quantities vulgar fraction ах
Pasajes populares
Página 76 - Multiply each numerator by all the denominators except its own, for the new numerators ; and all the denominators together for A COMMON denominator. NOTE 1.
Página 317 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Página 339 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 309 - Find the nth term, and the sum of n terms of the natural series of numbers 1, 2, 3, 4 . . . . Ans.
Página 223 - If A and В together can perform a piece of work in 8 days, A and С together in 9 days, and В and С in 10 days; how many days would it take each person to perform the same work alone?
Página 353 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 286 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Página 178 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Página 176 - 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?
Página 352 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.