Mathematics: Compiled from the Best Authors and Intended to be the Text-book of the Course of Private Lectures on These Sciences in the University at Cambridge, Volum 1University at Cambridge, 1801 - 426 sider |
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Side 19
... added by the rule , is the value of an unit in the next higher place , by the nature of notation ; and the one that is added to the next place of the less · number is to diminish the correspondent place of the greater ac- cordingly ...
... added by the rule , is the value of an unit in the next higher place , by the nature of notation ; and the one that is added to the next place of the less · number is to diminish the correspondent place of the greater ac- cordingly ...
Side 21
... added them together for the sum of every column is the product of the figures in the place of that column ; and these products , collect- ed together , are evidently equal to the whole required product . 2. If the multiplier is a number ...
... added them together for the sum of every column is the product of the figures in the place of that column ; and these products , collect- ed together , are evidently equal to the whole required product . 2. If the multiplier is a number ...
Side 22
... added to- gether will be equal to the whole required product . Q. E. D. The reason of the method of proof depends upon this propo- sition , “ that if two numbers are to be multiplied together , either of them may be made the multiplier ...
... added to- gether will be equal to the whole required product . Q. E. D. The reason of the method of proof depends upon this propo- sition , “ that if two numbers are to be multiplied together , either of them may be made the multiplier ...
Side 30
... added to the remainder , will be equal to the dividend , when the work is right . ( 1 ) EXAMPLES . ( 2 ) 365 ) 123456789 ( 338237 5 ) 13545728 ( 27091453 ΙΩ 35 35 45 45 . 75 5 22 1095 * 1395 1095 3006 2920 867 730 1378 20 1095 22 28 ...
... added to the remainder , will be equal to the dividend , when the work is right . ( 1 ) EXAMPLES . ( 2 ) 365 ) 123456789 ( 338237 5 ) 13545728 ( 27091453 ΙΩ 35 35 45 45 . 75 5 22 1095 * 1395 1095 3006 2920 867 730 1378 20 1095 22 28 ...
Side 31
... added , are the products of the divisor by eve- ry figure of the quotient separately , and each possesses , by its place , its complete value ; therefore , the sum of the parts , together with the remainder , must be equal to the whole ...
... added , are the products of the divisor by eve- ry figure of the quotient separately , and each possesses , by its place , its complete value ; therefore , the sum of the parts , together with the remainder , must be equal to the whole ...
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Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 1 Uten tilgangsbegrensning - 1808 |
Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 1 Uten tilgangsbegrensning - 1808 |
Vanlige uttrykk og setninger
2qrs angle annuity annum arithmetical bushel called carats cent centre circle circumference coefficient common denominator completing the square compound interest cube root cyphers decimal denoted discount Divide dividend division divisor draw equal equation EXAMPLES exponent farthings figures find the value fourth gallons geometrical progression geometrical series give given Line given number greater greatest common measure improper fraction integers least common multiple less number logarithm manner multiplicand Multiply negative NOTE number of terms number of things payment perpendicular pound present worth PROBLEM PROBLEM proportion quotient radius ratio Reduce remainder repetend required to find shews shillings sides simple interest square root subtract Suppose surd taken tare third triangle TROY WEIGHT unknown quantity vulgar fraction Whence whole number yards ΙΟ
Populære avsnitt
Side 352 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Side 54 - In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier) and set the result of each term one place removed to the right 'hand of those in the multiplicand.
Side 136 - 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 low. EXAMPLES. 1. A, B and C hold a pasture in common, for which they pay 197.
Side 379 - A point is a dimensionless figure ; or an indivisible part of space. A line is a point continued, and a figure of one capacity, namely, length. A superficies is a figure of two dimensions, namely, length and breadth. A solid is a figure of three dimensions, namely, length, breadth, and thickness.
Side 166 - The first term, the last term, and the number of terms given, to find the sum of all the terms. RULE.* — Multiply the sum of the extremes by the number of terms, and half the product will be the answer.
Side 127 - ... have to their consequents, the proportion between the first antecedent and the last consequent is discovered, as well as the proportion between the others in their several respects.
Side 350 - B's, and B's is triple of C's, and the sum of all their ages is 140. What is the age of each ? Ans. A's =84, B's =42, and C's =14.
Side 388 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees; and each degree into 60 minutes, each minute into 60 seconds, and so on.
Side 244 - Briggs' logarithm of the number N ; so that the common logarithm of any number 10" or N is n, the index of that power of 10 which is equal to the said number. Thus, 100, being the second power of 10, will have 2 for its logarithm ; and 1000, being the third power of 10, will have 3 for its logarithm. Hence, also, if 50 = 101-00*7, then is 1.69897 the common logarithm of 50.
Side 168 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.