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algebraical arithmetic means arithmetical progression called cent ciphers coefficient common denominator completing the square contain corresponding vulgar fractions cube root decimal fraction decimal places difference digits dividend divisible divisor equivalent fractions equivalent vulgar fraction EXAMPLES FOR PRACTICE expression Extract the square feet figures Find the greatest find the least Find the value former geometrical progression given number given sum greater greatest common factor greatest common measure Hence highest common factor indices integers latter least common multiple logarithms lowest terms mixed numbers number of decimal number of permutations number of terms number of variations numerator and denominator obtained operation pound proportion quadratic equation quan quotient Reduce remainder required number Required the sum result Shew shewn solid content square root subtraction surds taken tities Transform unknown quantities whence whole number
Σελίδα 157 - ... 8 days. But on the evening of the sixth day, 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the stock of provisions unconsumed at the end of the sixth day to support 6 men for 61 days ; it is required to find how long it would support the garrison, and the number of men alive when the provisions were exhausted.
Σελίδα 141 - 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. Required the number of men.
Σελίδα 5 - RULE.* Divide the numerator by the denominator, and the quotient will be the whole or mixed number required.
Σελίδα 149 - ... fourth, if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Σελίδα 168 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Σελίδα 96 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Σελίδα 146 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.
Σελίδα 52 - From and after the passing of this act, all articles sold by weight shall be sold by avoirdupois weight, except gold, silver, platina, diamonds, or other precious stones, which may be sold by troy weight ; and drugs, which, when sold by retail, may be sola by apothecaries 's weight.