Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα vii
... given number of Equations of the First Degree containing an equal number of Unknown Quantities General rule for deducing an equation having only one unknown quantity by exterminating or eliminating successively all the rest 89 - ib ...
... given number of Equations of the First Degree containing an equal number of Unknown Quantities General rule for deducing an equation having only one unknown quantity by exterminating or eliminating successively all the rest 89 - ib ...
Σελίδα x
... given for the calculus of radical quan- tities Examples of the utility of signs , shown by the calculus of frac- Examples in the formation of powers of compound algebraic ex- ib . ib . · 186 · ib . m 187 189 · ib . 191 pressions ib ...
... given for the calculus of radical quan- tities Examples of the utility of signs , shown by the calculus of frac- Examples in the formation of powers of compound algebraic ex- ib . ib . · 186 · ib . m 187 189 · ib . 191 pressions ib ...
Σελίδα 1
... given belongs , and the other the application of these rules . The first part , independent of the manner of writing numbers , or of the system of notation , consists entirely in the developement of the consequences which result ...
... given belongs , and the other the application of these rules . The first part , independent of the manner of writing numbers , or of the system of notation , consists entirely in the developement of the consequences which result ...
Σελίδα 2
... given above , namely , the less part added to the given excess , we find that The less part added to the given excess , added moreover to the less part , forms the number to be divided . But the language may be abridged thus , Twice the ...
... given above , namely , the less part added to the given excess , we find that The less part added to the given excess , added moreover to the less part , forms the number to be divided . But the language may be abridged thus , Twice the ...
Σελίδα 3
... given , the less part , the number sought , & c . by which the process is very much retarded . With respect to given quantities , the expedient which first offers itself is , to take for representing them determinate numbers , as in ...
... given , the less part , the number sought , & c . by which the process is very much retarded . With respect to given quantities , the expedient which first offers itself is , to take for representing them determinate numbers , as in ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ac² algebraic algebraic quantities Arith arithmetic becomes binomial changing the signs coefficient consequently contains courier cube root deduce denominator denoted divided dividend and divisor division enunciation equa equal to zero evident example exponent extract the root factors fifth power figures follows formula fraction given in art given number gives greatest common divisor letters logarithm manner method multiplicand multiplied negative number of arrangements observed obtain operation polynomials proposed equation proposed number proposed quantity quan question quotient radical quantities radical sign reduced remainder represented resolved result rule given second degree second member second term simple quantities square root subtract suppose tens third tion tities units unity unknown quantity whence whole numbers
Δημοφιλή αποσπάσματα
Σελίδα ii - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 249 - If three quantities are in continued proportion, the product of the extremes is equal to the square of the mean.
Σελίδα 33 - RULE. Multiply all the terms of the multiplicand by each term of the multiplier, observing that like signs give plus in the product, and unlike signs minus.
Σελίδα ii - CLERK'S OFFIcE. BE it remembered, that on the eleventh day of November, AD 1830, in the fiftyfifth year of the Independence of the United States of America, Gray & Bowen, of the said district, have deposited in this office the title of a book, the right whereof...
Σελίδα 296 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Σελίδα 30 - ... by itself as many times less one as there are units in the exponent of this power.
Σελίδα 116 - On the contrary, the square root of a number, which is not a perfect square, is...
Σελίδα 165 - Therefore, the cube of a number containing two figures, consists of, The cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units.
Σελίδα 296 - 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 as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Σελίδα 271 - From what has preceded, we perceive that the value of a fraction is the quotient arising from the division of the numerator by the denominator, or from the expression of this division.