A first book of algebra, including the binomial theorem1867 |
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Página 13
... expressed in ordinary language , would run somewhat thus : £ 3 more than A's money is equal to three times £ 3 less than B's money ; also £ 7 less than A's money is the same as £ 7 more than B's money . From this we see that A's money ...
... expressed in ordinary language , would run somewhat thus : £ 3 more than A's money is equal to three times £ 3 less than B's money ; also £ 7 less than A's money is the same as £ 7 more than B's money . From this we see that A's money ...
Página 14
... expressed by + as a + b Subtraction Division Multiplication ,, " 2 α- 29 -b X 99 αχό = " " 99 a ÷ b Multiplication is also expressed in other ways . Thus , two algebraic quantities written together without any sign express ...
... expressed by + as a + b Subtraction Division Multiplication ,, " 2 α- 29 -b X 99 αχό = " " 99 a ÷ b Multiplication is also expressed in other ways . Thus , two algebraic quantities written together without any sign express ...
Página 15
... expressed as x , y , z , m2 , & c . , with or without the simple expressions of x , y , z , & c . Equations are also divided into equations of one or more unknown quantities ; thus , x + 14 = 27 is an equation of one unknown , while x + ...
... expressed as x , y , z , m2 , & c . , with or without the simple expressions of x , y , z , & c . Equations are also divided into equations of one or more unknown quantities ; thus , x + 14 = 27 is an equation of one unknown , while x + ...
Página 18
... expressed by writing down the unknown quantity , as ɑ , and prefixing to it the sum of the known coefficients , as 16 . 16a is the complete answer , so far as algebra can give it . Some examples of addition are here given , some worked ...
... expressed by writing down the unknown quantity , as ɑ , and prefixing to it the sum of the known coefficients , as 16 . 16a is the complete answer , so far as algebra can give it . Some examples of addition are here given , some worked ...
Página 19
... expressed by writing down the unkr and prefixing to it the sum of the kn 16a is the complete answer , so far Some examples of addition are and some for practice . ( 1. ) ( 2. ) EXA ( 16 ) 101m'n ' mnz a α 3m a a α 5a ར་ x2y2 + 9 + ...
... expressed by writing down the unkr and prefixing to it the sum of the kn 16a is the complete answer , so far Some examples of addition are and some for practice . ( 1. ) ( 2. ) EXA ( 16 ) 101m'n ' mnz a α 3m a a α 5a ར་ x2y2 + 9 + ...
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A First Book of Algebra, Including the Binomial Theorem William Rossiter Sin vista previa disponible - 2016 |
Términos y frases comunes
3rd power 4th power a+b+c acres added addition algebraic fractions algebraic quantities answer arithmetic arranged B's money binomial theorem bought Clearing of fractions common difference common measures common multiples common ratio complete quotient cows cube root denominator divided division divisor equal exponent extraction figures Find the common Find the cube Find the expression Find the square find the value following examples formula gallons give given improper fraction INVOLUTION known last term less means merator miles multiplied number of days number of terms number of things numerical coefficients OXFORD STREET problem proper fraction quadratic equations quotient remainder sheep side solving square root subtraction taken tion total number Transposing unknown quantity walked whole number writing written x²+2xy x²y² yards
Pasajes populares
Página 160 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Página 39 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 169 - How many hours a day must 42 boys work, to do in 45 days what 27 men can do in 28 days of 10 hours each, the work of a boy being half that of a man ? 11. If 8 guineas be expended in purchasing Brussels carpet f yd. wide, at 3».
Página 120 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Página 120 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 128 - N, and divide the first term of the remainder by 3 times the square of the first term of R, the quotient will be the third term of the root.
Página 206 - Eequired the numbers. 6. The sum of three numbers in geometrical progression is 35, and the mean term is to the difference of the extremes as 2 to 3. Required the numbers. Ans. 5, 10, 20. 7. The sum of £ 14 was divided between three persons, whose shares were in geometrical progression ; the sum of the shares of the first and second was to the sum of the shares of the second and third as 1 to 2.
Página 88 - Divide the number 36 into 3 such parts, that* \ of the first, \ of the second, and \ of the third, shall be equal to each other.
Página 207 - Bought two flocks of sheep for 65/. 13s., one containing 5 more than the other. Each sheep cost as many shillings as there were sheep in the flock. Required the number in each flock. Ans. 23, and 28.
Página 93 - ... 2. A can do a piece of work in a days and B in b days.