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, Volumen1University at Cambridge, 1801 - 426 páginas |
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Página 199
... affirmative values , the x mand n - n - m being both positive . quantities nn . -m But only one of those values will answer the conditions of the question ; and , in all cases of this problem , x will be n - For suppose the contrary ...
... affirmative values , the x mand n - n - m being both positive . quantities nn . -m But only one of those values will answer the conditions of the question ; and , in all cases of this problem , x will be n - For suppose the contrary ...
Página 251
... affirmative ; but when there are no integers , the index is negative , and is to be marked by a short line drawn before , or above , it . Thus , a number having 1 , 2 , 3 , 4 , 5 , & c . integer places , the index of its logarithm is O ...
... affirmative ; but when there are no integers , the index is negative , and is to be marked by a short line drawn before , or above , it . Thus , a number having 1 , 2 , 3 , 4 , 5 , & c . integer places , the index of its logarithm is O ...
Página 254
... affirmative ; but to the right or in decimals , when it is negative . EXAMPLES . So , the number to the logarithm 1'5326525 is 34 ° 092 . And the number of the logarithm 15326525 is 34092 . But if the logarithm cannot be exactly found ...
... affirmative ; but to the right or in decimals , when it is negative . EXAMPLES . So , the number to the logarithm 1'5326525 is 34 ° 092 . And the number of the logarithm 15326525 is 34092 . But if the logarithm cannot be exactly found ...
Página 255
... affirmative ; and is therefore to be added to the index , when it is affirma- tive ; but subtracted , when it is negative . NOTE 2. When the indices have like signs , that is , both or both , they are to be added , and the sum has the ...
... affirmative ; and is therefore to be added to the index , when it is affirma- tive ; but subtracted , when it is negative . NOTE 2. When the indices have like signs , that is , both or both , they are to be added , and the sum has the ...
Página 258
... affirmative number , gives a negative product ; and as the number carried from the decimal part is affirmative , their differ- ence with the sign of the greater is , in that case , the in- dex of the product . EXAMPLES EXAMPLES . 1. To ...
... affirmative number , gives a negative product ; and as the number carried from the decimal part is affirmative , their differ- ence with the sign of the greater is , in that case , the in- dex of the product . EXAMPLES EXAMPLES . 1. To ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 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.
Página 168 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.