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### Continguts

 To reduce Fractions to a common Denominator 60 SECTION VII 71 Solution of Problems 79 SECTION VIII 93 SECTION IX 108 Zero and Infinity 115 SECTION X 122 SECTION XI 128
 Harmonical Proportion Wariation e 214 SECTION XIV 220 Geometrical Progression Last Term Sum of the Terms 226 Harmonical Progression 232 SECTION XVI 242 When the Exponent is Negative e 249 SECTION XVII 255 To extract any Root of a Polynomial ş 258

### Passatges populars

Pŕgina 38 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Pŕgina 37 - THEOREM I. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Pŕgina 91 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Pŕgina 332 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Pŕgina 33 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Pŕgina 138 - The nth root of the product of any number of factors is equal to the product of the nth roots of those factors.
Pŕgina 168 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left. How much wine did he draw each time ? 50.
Pŕgina 31 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Pŕgina 4 - A Grammar of the Greek Language, for the Use of Schools and Colleges. By Charles Anthon, LL.D.
Pŕgina 213 - When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals.