Elements of AlgebraHilliard, Gray, 1833 - 298 σελίδες |
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Σελίδα vii
... Negative Quantities Examples · · To resolve an equation , when the two members have the sign A question in which one ... Negative Quantities - 72 - on the use of the term identical Demonstration of the rules for the calculus of insulated ...
... Negative Quantities Examples · · To resolve an equation , when the two members have the sign A question in which one ... Negative Quantities - 72 - on the use of the term identical Demonstration of the rules for the calculus of insulated ...
Σελίδα viii
... negative results Equations of the Second Degree having only one Unknown Quantity Examples of equations of the second degree , which contain only one unknown quantity Extraction of the square root of whole numbers - · · 107 ib . - 108 ...
... negative results Equations of the Second Degree having only one Unknown Quantity Examples of equations of the second degree , which contain only one unknown quantity Extraction of the square root of whole numbers - · · 107 ib . - 108 ...
Σελίδα ix
... negative exponents 152 Of the Formation of Powers of Compound Quantities 153 Manner of denoting these powers · 154 Form of the product of any number whatever of factors of the first degree ib . Method of deducing from this product the ...
... negative exponents 152 Of the Formation of Powers of Compound Quantities 153 Manner of denoting these powers · 154 Form of the product of any number whatever of factors of the first degree ib . Method of deducing from this product the ...
Σελίδα xii
... negative Determination of the limits of roots , example ib . ib . Application to this example of Newton's method for approximat- ing the roots of an equation 238 How to determine the degree of the approximation obtained Inconvenience of ...
... negative Determination of the limits of roots , example ib . ib . Application to this example of Newton's method for approximat- ing the roots of an equation 238 How to determine the degree of the approximation obtained Inconvenience of ...
Σελίδα 31
... negative terms or parts to be subtracted , the units , tens , hundreds , & c . of which they consist , are always considered as added together , and it is very evident , that the whole product must be composed of the sum of the products ...
... negative terms or parts to be subtracted , the units , tens , hundreds , & c . of which they consist , are always considered as added together , and it is very evident , that the whole product must be composed of the sum of the products ...
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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.