Elements of Algebra |
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Elements of Algebra: Being the First Thirty-Eight Chapters of Hall and ... Henry Sinclair Hall Sin vista previa disponible - 2017 |
Elements of Algebra: Being the First Thirty-Eight Chapters of Hall and ... Henry Sinclair Hall Sin vista previa disponible - 2017 |
Términos y frases comunes
added addition algebraic Arithmetic arranged base begin binomial brackets called cents chance changed CHAPTER coefficient combinations common compound consider contains cube definition denominator denote difference digits Divide division divisor dollars equal equation EXAMPLES expansion expression factors feet find the number Find the value four fraction give given greater Hence highest common factor hour imaginary increased indices inequality integer laws less letters logarithm lowest means method miles Multiply negative NOTE obtain operation places positive proportion prove quadratic quantities quotient ratio remainder represented Resolve result rule Rule of Signs Show side simple Simplify solution Solve square root Subtract Suppose surd symbols taken term things third unknown varies walk whence write written yards zero
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Página 319 - Therefore the number of permutations of n things taken r at a time is n(n -l)1n — 2)-.(n — r + 1).
Página 298 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Página 167 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive. INVOLUTION OF MONOMIALS. 187. From definition -we have, by the rules of multiplication, (a2)* = a1 . a
Página 328 - Simoom, so that vowels and consonants occur alternately in each word ? 4. A telegraph has 5 arms, and each arm has 4 distinct positions, including the position of rest : find the total number of signals that can be made.
Página 351 - The logarithm of a product is the sum of the logarithms of its factors.
Página 183 - The sixth root of an expression is found by taking the cube root of the square root, or the square root of the cube root.
Página 352 - DEFINITION. The integral part of a logarithm is called the characteristic, and the decimal part, when it is so written that it is positive, is called the mantissa.
Página 100 - DEFINITION. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest dimensions which is divisible by each of them without remainder. The abbreviation L.
Página 322 - From 7 Englishmen and 4 Americans a committee of 6 Is to be formed: in how many ways can this be done, (1) when the committee contains exactly 2 Americans, (2) at least 2 Americans ? (1...
Página 289 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.