Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα v
... performing , as far as is possible , the operations indicated upon Quantities , that are represented by Letters 23 ... performing addition Rule for the reduction of algebraic quantities Subtraction of Algebraic Quantities Rule for ...
... performing , as far as is possible , the operations indicated upon Quantities , that are represented by Letters 23 ... performing addition Rule for the reduction of algebraic quantities Subtraction of Algebraic Quantities Rule for ...
Σελίδα vi
... performed Division of compound quantities What is understood by arranging the terms of a quantity Rules for performing division Examples in division Method of arrangement , when the quantity has the same power in several terms , both of ...
... performed Division of compound quantities What is understood by arranging the terms of a quantity Rules for performing division Examples in division Method of arrangement , when the quantity has the same power in several terms , both of ...
Σελίδα vii
... Unknown Quantities General rule for deducing an equation having only one unknown quantity by exterminating or eliminating successively all the rest 89 - ib . Examples to illustrate the above rule Questions to be performed Contents . vii.
... Unknown Quantities General rule for deducing an equation having only one unknown quantity by exterminating or eliminating successively all the rest 89 - ib . Examples to illustrate the above rule Questions to be performed Contents . vii.
Σελίδα viii
Silvestre François Lacroix. Examples to illustrate the above rule Questions to be performed · General Formulas for the Resolution of Equations of the First Degree General process for exterminating , in two equations , an unknown quantity ...
Silvestre François Lacroix. Examples to illustrate the above rule Questions to be performed · General Formulas for the Resolution of Equations of the First Degree General process for exterminating , in two equations , an unknown quantity ...
Σελίδα x
... performing on radicals of the same degree the four fundamental operations - To raise a radical quantity to any power whatever ib . ib . 180 · ib . 183 To extract the root of any degree 184 To reduce to the same degree , any number of ...
... performing on radicals of the same degree the four fundamental operations - To raise a radical quantity to any power whatever ib . ib . 180 · ib . 183 To extract the root of any degree 184 To reduce to the same degree , any number of ...
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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.