Algebra for Secondary Schools

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D.C. Heath & Company, Publishers, 1906 - 462 sider
 

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Side 315 - In any proportion,, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Side 325 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.
Side 47 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Side 136 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.
Side 317 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Side 18 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.
Side 380 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 208 - Multiply the complete divisor by the term of the root last obtained, and subtract the product from the remainder. If...
Side 445 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Side 315 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.

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