A System of Arithmetic: Reprinted from the Mathematical Text-book |
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Page 6
... Root Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression Geometrical do . Simple Interest Commission 157 163 166 . • 169 171 · 173 180 187 189 191 Brokerage 192 Insurance 198 ...
... Root Cube Root Cube Root by Approximation Roots of Powers in general Do. by Approximation Arithmetical Progression Geometrical do . Simple Interest Commission 157 163 166 . • 169 171 · 173 180 187 189 191 Brokerage 192 Insurance 198 ...
Page 13
... root ; thus x , or x signifies the square root of x . 3 , or , Signifies the cube root . n , or , Signifies any root . m , Signifies any root of any power . x The number , or letter , belonging to the above signs of powers and roots ...
... root ; thus x , or x signifies the square root of x . 3 , or , Signifies the cube root . n , or , Signifies any root . m , Signifies any root of any power . x The number , or letter , belonging to the above signs of powers and roots ...
Page 158
... root , and at least but one less . COR . 2. A cube number cannot have more places of figures than triple the places of the root , and at least but two less . The truth of the rule may be shown algebraically thus : Let N the number ...
... root , and at least but one less . COR . 2. A cube number cannot have more places of figures than triple the places of the root , and at least but two less . The truth of the rule may be shown algebraically thus : Let N the number ...
Page 163
... = N = given number , and to find the cube root of Nis the same as to find the cube root of a3 + 3a2b + 3ab2 + b2 ; the method of doing which is as fol lows : T for the next figure of the root , which CUBE ROOT . 163 Cube Root.
... = N = given number , and to find the cube root of Nis the same as to find the cube root of a3 + 3a2b + 3ab2 + b2 ; the method of doing which is as fol lows : T for the next figure of the root , which CUBE ROOT . 163 Cube Root.
Page 164
... root , which annex to the former $ calling this last figure e , and the part of the root before found eall a 3. Add together these three products , namely , thrice the square of a multiplied by e ... cube root of 48228.544 164 CUBE ROOT .
... root , which annex to the former $ calling this last figure e , and the part of the root before found eall a 3. Add together these three products , namely , thrice the square of a multiplied by e ... cube root of 48228.544 164 CUBE ROOT .
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A System of Arithmetic: Reprinted From the Mathematical Text-Book (Classic ... Samuel Webber No preview available - 2016 |
A System of Arithmetic: Reprinted from the Mathematical Text-Book Samuel Webber No preview available - 2016 |
Common terms and phrases
2qrs 3qrs amount of 11 annuity annum answer required arithmetical Arithmetical Progression bushel called carats cent common difference compound fraction compound interest contained cube root cyphers debt decimal DEMONSTRATION discount Divide dividend division divisor equal equated equivalent evident EXAMPLES farthings fourth gallon Geometrical Progression geometrical series given number gold greater greatest common measure gross improper fraction inches integer last term least common multiple less number manner method of proof miles mixed number months multiplicand Multiply NOTE number of combinations number of places number of terms number of things payment pence pound present worth principal proportion quantities question quotient ratio Reduce remainder repetend Rule of Three shillings Signifies simple interest square root subtract supposition taken tare tion trett TROY WEIGHT vulgar fraction weight whole number yards year's interest
Popular passages
Page 66 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 159 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 199 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.
Page 141 - As the sum of the several products, Is to the whole gain or loss ; So is each man's particular product, To his particular share of the gain or loss.
Page 92 - Let the farthings in the given pence and farthings possess the second and third places ; observing to increase the second place or place of hundredths, by 5" if the shillings be odd; and the third place by 1 when the farthings exceed 12, and by 2 when they exceed 36.
Page 225 - ... is to the difference between the true and second supposed number ; when that is not the case, the exact answer to the question cannot be found by this rule.
Page 133 - A wall to be built to the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days : how many men must be employed to finish the wall in 4 days at the same ruts.- of working 1 31.
Page 170 - To the remainder bring down the first figure in the next period, and call it the dividend. 4. Involve the root to the next inferior power to that which is given, and multiply it by the number denoting the given power, for u divisor.
Page 170 - Bring doion the first figure of the next period to the remainder for a new dividend, to which find a new divisor, as before; and in like manner proceed till the whole is finished.
Page 112 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.