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 104
... sides of the equation , A - B + B + D = C — D + B + D ; that is , A + D the sum of the extremes = C + B the sum of the means . - And three A , B , C , may be thus expressed , A. B :: BC ; therefore A + C = B + B = 2B . Q. E. D. ...
... sides of the equation , A - B + B + D = C — D + B + D ; that is , A + D the sum of the extremes = C + B the sum of the means . - And three A , B , C , may be thus expressed , A. B :: BC ; therefore A + C = B + B = 2B . Q. E. D. ...
Side 126
... side of the middle term . I. METHOD OF OPERATION . 1. By several operations.Take the two upper terms and the middle term , in the same order as they stand , for the first stating of the rule of three ; then take the fourth number ...
... side of the middle term . I. METHOD OF OPERATION . 1. By several operations.Take the two upper terms and the middle term , in the same order as they stand , for the first stating of the rule of three ; then take the fourth number ...
Side 152
... sides of it ; that is , over every second figure , if it be the second root ; over every third , if it be the third root , & c . Thus , to point this number 21035896′12735 ; for the second root , it will be 21035896 1273501 but for the ...
... sides of it ; that is , over every second figure , if it be the second root ; over every third , if it be the third root , & c . Thus , to point this number 21035896′12735 ; for the second root , it will be 21035896 1273501 but for the ...
Side 171
... sides of the former ; or the double of any one term is equal to the sum of any two terms , taken at an equal distance from it on each side . The sum of any number of terms ( n ) of the arithmetical series of odd numbers 1 , 3 , 5 , 7 ...
... sides of the former ; or the double of any one term is equal to the sum of any two terms , taken at an equal distance from it on each side . The sum of any number of terms ( n ) of the arithmetical series of odd numbers 1 , 3 , 5 , 7 ...
Side 241
... side with one soldier , he wants 25 to fill up the square : how many soldiers had he ? Ans . 24000 . 34. There is a prize of 212l . 145. 7d . to be divided among a captain , 4 men , and a boy ; the captain is to have a share and a half ...
... side with one soldier , he wants 25 to fill up the square : how many soldiers had he ? Ans . 24000 . 34. There is a prize of 212l . 145. 7d . to be divided among a captain , 4 men , and a boy ; the captain is to have a share and a half ...
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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.