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

Century Company, 1910 - Algebra - 343 pages
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### Popular passages

Page 236 - 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?
Page 205 - 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.
Page 81 - In any proportion, the product of the means equals the product of the extremes.
Page 136 - In any triangle, the sides are proportional to the sines of the opposite angles. That is, sin A = sin B...
Page 13 - A Complex Fraction is one whose numerator, or denominator, or both, are fractional; as 7, I — sf148.
Page 85 - The squares of the periods of revolution of the planets about the sun vary as the cubes of their mean distances.
Page 265 - 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.
Page 81 - 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.
Page 137 - 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.
Page 261 - 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.