A Higher AlgebraGinn, 1891 - 521 sider |
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Side
... FRACTIONS . 381 XXXI . SCALES OF NOTATION 392 XXXII . THEORY OF NUMBERS 397 XXXIII . VARIABLES AND LIMITS 403 XXXIV . SERIES 412 XXXV . GENERAL PROPERTIES OF EQUATIONS 441 XXXVI . NUMERICAL EQUATIONS 473 XXXVII . DETERMINANTS 499 ...
... FRACTIONS . 381 XXXI . SCALES OF NOTATION 392 XXXII . THEORY OF NUMBERS 397 XXXIII . VARIABLES AND LIMITS 403 XXXIV . SERIES 412 XXXV . GENERAL PROPERTIES OF EQUATIONS 441 XXXVI . NUMERICAL EQUATIONS 473 XXXVII . DETERMINANTS 499 ...
Side
... FRACTIONS . 109 X. FRACTIONAL EQUATIONS 134 XI . SIMULTANEOUS EQUATIONS OF THE FIRST DEGREE 154 XII . PROBLEMS INVOLVING TWO UNKNOWN NUMBERS . 169 XIII . SIMPLE INDETERMINATE EQUATIONS . 186 XIV . INEQUALITIES . 192 XV . INVOLUTION AND ...
... FRACTIONS . 109 X. FRACTIONAL EQUATIONS 134 XI . SIMULTANEOUS EQUATIONS OF THE FIRST DEGREE 154 XII . PROBLEMS INVOLVING TWO UNKNOWN NUMBERS . 169 XIII . SIMPLE INDETERMINATE EQUATIONS . 186 XIV . INEQUALITIES . 192 XV . INVOLUTION AND ...
Side
... FRACTIONS . 381 XXXI . SCALES OF NOTATION 392 XXXII . THEORY OF NUMBERS 397 XXXIII . VARIABLES AND LIMITS 403 XXXIV . SERIES 412 XXXV . GENERAL PROPERTIES OF EQUATIONS 441 XXXVI . NUMERICAL EQUATIONS 473 XXXVII . DETERMINANTS 499 ...
... FRACTIONS . 381 XXXI . SCALES OF NOTATION 392 XXXII . THEORY OF NUMBERS 397 XXXIII . VARIABLES AND LIMITS 403 XXXIV . SERIES 412 XXXV . GENERAL PROPERTIES OF EQUATIONS 441 XXXVI . NUMERICAL EQUATIONS 473 XXXVII . DETERMINANTS 499 ...
Side 6
... fractions , where again the adjective is transferred from the things counted to the numbers which count them . In Algebra , if the units counted are negative , the numbers which count them are called negative numbers , where the ...
... fractions , where again the adjective is transferred from the things counted to the numbers which count them . In Algebra , if the units counted are negative , the numbers which count them are called negative numbers , where the ...
Side 26
... fraction , for we cannot take the multiplicand a fraction of a time . We therefore consider what extension of the meaning of multi- plication can be made so as to cover the case in question . When we multiply by a fraction , we divide ...
... fraction , for we cannot take the multiplicand a fraction of a time . We therefore consider what extension of the meaning of multi- plication can be made so as to cover the case in question . When we multiply by a fraction , we divide ...
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a₁ a²b² ab² ab³ algebraic arithmetical arithmetical mean arithmetical series arrangements ax² b₁ binomial c₁ called cent coefficient cologarithm column common factor common logarithms Complete the square complex number contain continued fraction convergent cube root d₁ decimal denominator denote determinant digits divided divisible divisor equal Exercise exponent expression Extract the square Find the H. C. F. Find the number Find the sum Find the value fraction harmonical series Hence imaginary integers integral less letters limit logarithm miles monomial Multiply negative number number of terms obtained positive integer quadratic quadratic equation quotient ratio remainder represent Resolve into factors result Simplify Solve square root subtract surd third trinomial unknown number variable whole number zero
Populære avsnitt
Side 303 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Side 131 - A man leaves the half of his property to his wife, a sixth to each of his two children, a twelfth to his brother, and the remainder, amounting to $600, to his sister. What was the amount of his property ? 17.
Side 141 - A cask contains 12 gallons of wine and 18 gallons of water ; another cask contains 9 gallons of wine and 3 gallons of water. How many gallons must be drawn from each cask to produce a mixture containing 7 gallons of wine and 7 gallons of water?
Side 255 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = bc, then, dividing by bd, or / (л- с'- v / 316.
Side 161 - The sum of the two digits of a number is 6, and if the number is divided by the sum of the digits the quotient is 4. What is the number ? 19.
Side 461 - Form all the possible products of n elements each that can be formed by taking one, and only one, element from each row, and one, and only one, element from each column ; prefix to each of the products thus formed either...
Side 276 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? 24.
Side 280 - Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 15.
Side 418 - The coefficient pt of the fourth term with its sign changed is equal to the sum of the products of the roots taken three...
Side 255 - The equation ad = be gives be ad a = -у, b — — ; a с so that an extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean.