A Text-book on Advanced Algebra and Trigonometry, with Tables

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Century Company, 1910 - 343 páginas
 

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Página 238 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Página 207 - Q(x) to obtain a quotient (polynomial of the form g. ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 83 - In any proportion, the product of the means equals the product of the extremes.
Página 138 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Página 12 - A Complex Fraction is one whose numerator, or denominator, or both, are fractional; as 7, I — sf148.
Página 87 - The squares of the periods of revolution of the planets about the sun vary as the cubes of their mean distances.
Página 267 - In a spherical triangle the cosine of any side is equal to the product of the cosines of the other two sides plus the product of the sines of these two sides and the cosine of their included angle.
Página 83 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 139 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum.
Página 263 - The area of a spherical triangle is to the area of the surface of the sphere as the number which expresses its spherical excess is to 720.

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