Elements of AlgebraGinn & Heath, 1881 - 380 páginas |
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... examples . About four thousand examples have been selected , arranged , and tested in the recitation - room , and any found too difficult have been excluded from the book . The idea has been to furnish a great number of examples for ...
... examples . About four thousand examples have been selected , arranged , and tested in the recitation - room , and any found too difficult have been excluded from the book . The idea has been to furnish a great number of examples for ...
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... examples , before he is able to follow them in a general demonstration , and to understand their logical connection . It is presumed that pupils will have a fair acquaintance with Arithmetic before beginning the study of Algebra ; and ...
... examples , before he is able to follow them in a general demonstration , and to understand their logical connection . It is presumed that pupils will have a fair acquaintance with Arithmetic before beginning the study of Algebra ; and ...
Página 22
... the subtrahend and add : From take 4x3 - 3x2y xy2 + 2y3 -2x + xy - 5x + 3y3 2x - 2xy - 6xy2 + 5y3 a3 x2 + 2 a2x23 — 4 ax1 a + 4a3x2 - 3a2x2 - 4ax1 - a3 - 3 a3 x2 + 5a2x3 In the last example we have conceived the signs to 223 ALGEBRA .
... the subtrahend and add : From take 4x3 - 3x2y xy2 + 2y3 -2x + xy - 5x + 3y3 2x - 2xy - 6xy2 + 5y3 a3 x2 + 2 a2x23 — 4 ax1 a + 4a3x2 - 3a2x2 - 4ax1 - a3 - 3 a3 x2 + 5a2x3 In the last example we have conceived the signs to 223 ALGEBRA .
Página 23
George Albert Wentworth. In the last example we have conceived the signs to be changed without actually changing them . The beginner should do the examples by both methods until he has ac- quired sufficient practice , when he should use ...
George Albert Wentworth. In the last example we have conceived the signs to be changed without actually changing them . The beginner should do the examples by both methods until he has ac- quired sufficient practice , when he should use ...
Página 37
... examples in multiplication which occur so often in algebraical operations that they should . be carefully noticed and remembered . The three which follow are of great importance : α a2 . --- ----- ( 3 ) a + b α - b a2 + ab ( 1 ) a + a + ...
... examples in multiplication which occur so often in algebraical operations that they should . be carefully noticed and remembered . The three which follow are of great importance : α a2 . --- ----- ( 3 ) a + b α - b a2 + ab ( 1 ) a + a + ...
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Términos y frases comunes
A's chance a+b+c ab² ab³ algebraic arithmetical arithmetical mean arithmetical series arranged binomial black balls cent chance of drawing coefficient cologarithm common factor Complete the square consonants contains cube root denominator denote digits divided divisor dollars equal event EXERCISE exponent expression Extract the root feet Find the H. C. F. Find the number fraction geometrical given greater harmonical series Hence highest common factor hour integral letters logarithm mantissa miles monomial Multiply negative number number of terms obtained polynomial positive pounds quadratic quotient ratio remainder represent Resolve into factors result second term selected side Simplify square root Subtract surd taken unknown quantities vowels white ball whole number wins x²y² yards
Pasajes populares
Página 56 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Página 192 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term. 282. Every affected quadratic may be made to assume the form of aV ± 2 abx = c. To solve such an equation : The first step is to complete the square...
Página 45 - 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.
Página 150 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 259 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 164 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Página 26 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Página 135 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.
Página 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.
Página 292 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.