The Elements of Arithmetic...: In which Decimal and Integral Arithmetic are Combined, and Taught Inductively, on the System of Pestalozzi, Μέρος 2U. Hunt and son, 1848 - 240 σελίδες |
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Σελίδα 84
... extremes , the second and third terms the means , and in every proportion the product of the extremes is equal to the product of the means . Take for example the proportion 3 : 9 :: 5:15 . This may also be written 3. Reducing these ...
... extremes , the second and third terms the means , and in every proportion the product of the extremes is equal to the product of the means . Take for example the proportion 3 : 9 :: 5:15 . This may also be written 3. Reducing these ...
Σελίδα 85
... extreme are given . Dividing the product of the means by the given extreme , we obtain 5 men for the an- swer , and our completed proportion is , men . men . 8 : 5 : 8 : 5 Ans . Hence we derive the RULE OF THREE . Write that number ...
... extreme are given . Dividing the product of the means by the given extreme , we obtain 5 men for the an- swer , and our completed proportion is , men . men . 8 : 5 : 8 : 5 Ans . Hence we derive the RULE OF THREE . Write that number ...
Σελίδα 87
... extremes , and the product of the means , give us the product of each cause by its opposite effect . Times are causes , for 2 days will produce twice as much as one day . In questions of freight , we may regard distances and bulk as ...
... extremes , and the product of the means , give us the product of each cause by its opposite effect . Times are causes , for 2 days will produce twice as much as one day . In questions of freight , we may regard distances and bulk as ...
Σελίδα 127
... extremes ; the other terms the means . Thus , in the ascending series , - 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , the extremes are 2 and 16 , and the common difference is 2 . In the descending series , - --- 20 , 16 , 12 , 8 , 4 , 0 , the ...
... extremes ; the other terms the means . Thus , in the ascending series , - 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , the extremes are 2 and 16 , and the common difference is 2 . In the descending series , - --- 20 , 16 , 12 , 8 , 4 , 0 , the ...
Σελίδα 128
... extremes , or to twice the middle term , when the number of terms is odd . 1 , 5 , 9 , 13 , 17 , 21 , 25 , 29 , 33 ... extremes , which is equal to twice the sum de- sired . Hence we derive the following RULE . To obtain the last term ...
... extremes , or to twice the middle term , when the number of terms is odd . 1 , 5 , 9 , 13 , 17 , 21 , 25 , 29 , 33 ... extremes , which is equal to twice the sum de- sired . Hence we derive the following RULE . To obtain the last term ...
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5th power 9 hours acres amount annuity approximate values Arithmetic Avoirdupois bill bought bushel cents a pound column commence common difference compound interest contained continued fraction cost cube root cubic decimal denominator diameter discount Divide dividend divisible dollars dominical letter equal example exchange Extract extremes feet fraction gain gallons Geometrical Progression given number greatest common divisor harmonical means hours a day hundred improper fraction inches last term least common multiple less lowest terms marcs mean proportional miles minuend months multiplicand Multiply number of terms obtained oxen paid payable payment piece present worth prime factors prime number PROBLEM quotient figure ratio Reduce remainder repetend rods root figure RULE sold square number square root subtract sugar tens third trial divisor undecillion units weeks weighs whole number wide yards zeroes లు
Δημοφιλή αποσπάσματα
Σελίδα 127 - And we may moreover observe, that the sum of the extremes is equal to the sum of any two terms equally distant from the extremes, or to twice the middle term, when the number of terms is odd.
Σελίδα 177 - To find the solid contents of a cylinder. RULE. Multiply the area of the base by the height.
Σελίδα 107 - Take a series of numbers, commencing with the number of things given, and decreasing by 1, until the number of terms is equal to the number of things to be taken at a time : the product of all the terms will be the answer required.
Σελίδα 18 - ... move the decimal point as many places to the right as there are ciphers in the multiplier.
Σελίδα 166 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4...
Σελίδα 29 - Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at Thirty Inches...
Σελίδα 106 - PROBLEM II. Any number of different things being given, to find how many changes can be made out of them by taking a given number of the things at a time.
Σελίδα 106 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other.- . RULE. Multiply all the terms of the natural series of numbers, from one up to the given number, continually together, and the last product will be the answer required.
Σελίδα 20 - DIVISION is the process by which we find how many times one number or part of a number is contained in, or may be subtracted from, another. The number to be divided is the dividend. The number to divide by, is the divisor. The number of times the dividend contains the divisor, is the quotient. The divisor and quotient may also be regarded as factors of the dividend. The number left, (if any,) after the operation, is the remainder.
Σελίδα 27 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.