College Algebra, Volumen25Longmans, Green, 1908 - 341 páginas |
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Otras ediciones - Ver todas
College Algebra, Volumen25 William Henry Metzler,Edward Drake Roe,Warren Gardner Bullard Vista completa - 1908 |
College Algebra, Volumen25 William Henry Metzler,Edward Drake Roe,Warren Gardner Bullard Vista completa - 1908 |
College Algebra, Volumen25 William Henry Metzler,Edward Drake Roe,Warren Gardner Bullard Vista completa - 1908 |
Términos y frases comunes
a₁ absolutely convergent algebraic algebraic function arithmetical progression b₁ becomes indefinitely binomial binomial theorem called change of sign coefficients column complex number constant continued fraction convergent series coördinates corresponding decimal definition denote determinant digits divided EXAMPLES exponent expression factors Find the number Find the sum Find the value finite function geometrical given Hence imaginary indefinitely small number inequality infinite limit loga logarithm mathematical induction method modulus multiplying nth root nth term number of terms obtained permutations polynomial positive integer positive number PROOF quadratic equation quadratic surds quotient r₁ radical ratio real number real roots represented seen series is convergent series is divergent solution square Sturm's theorem Subtracting surd Theorem tion total degree U₁ U₂ unity vanish variable whence α₁ α₂ Ип
Pasajes populares
Página 19 - In any proportion, the product of the means is equal to the product of the extremes.
Página 65 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Página 112 - The number of combinations of n different objects taken r at a time is equal to the number of combinations of the n objects taken n — r at a time, ornor =
Página 216 - Whence x — y is the logarithm m of — . QED n 180. Prop. 3. — The logarithm of a power of a number is the logarithm of the number multiplied by the index of the power. DEM. — Let a be the base, and x the logarithm of m.
Página 28 - Find its diameter, having given that the area of a circle varies as the square of its diameter.
Página 117 - Now, according to the adepts of ancient Aryavarta, seven principles are evolved out of these three primary entities. Algebra teaches us that the number of combinations of n things taken one at a time, two at a time, three at a time and so forth= 2n — 1.
Página 23 - Two numbers are in the ratio of 2 to 3, and if 9 be added to each they are in the ratio of 3 to 4. Find the numbers. 4. Shew that the ratio a : b is the duplicate of the ratio a + c : b + c if c
Página 20 - If four numbers are in proportion, they are in proportion by addition ; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Página 22 - Ъ, с are proportionals, so that a : b = b : c, then b is called a mean proportional between a and c, and с is called a third proportional to a and b. If a:b = b:c, then b = Vac.
Página 12 - If any number of inequalities, subsisting in the same sense, be added member to member, the resulting inequality will also subsist in the same sense. For consider the inequalities a>b, a' > b', a" > b", •••. Then each of the numbers a — b, a' — b1, a