A College Algebra

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Ginn, 1902 - Algebra - 530 pages
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Page 184 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = be, . ,. ... ' , ' ad be by dividing by bd, bd=bd
Page 257 - This is the same as the number of permutations of n things taken r at a time, and hence r!C(,r) = P(,r) '-- It is interesting to know that the number of combinations of n things taken r at a time is the same as the number of combinations of n things taken n — r at a time.
Page 79 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit c cents. At the end of a days he received d cents. How many days was he idle ? 76.
Page 90 - In the first term the exponent of a is the same as the exponent of the power to which the binomial is raised, and it decreases by one in each succeeding term.
Page 140 - A number consists of two digits whose sum is 13, and if 4 is subtracted from double the number, the order of the digits is reversed. Find the number. 58. The sum of the digits of a certain number of two figures is 5, and if 3 times the units, digit is added to the number, the order of the digits will be -reversed.
Page 182 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 519 - The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Page 186 - 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 33 - Then divide the first term of the remainder by the first term of the divisor...
Page 131 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines.

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