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, Τόμος 1University at Cambridge, 1801 - 426 σελίδες |
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Σελίδα 263
... unknown , or required quantities , by the last let- ters , as x , y , z . NOTE . The signs , or characters ... quantity is never omitted , nor the sign , of an affirmative one , one , except it be a single quantity , or ALGEBRA Definitions ...
... unknown , or required quantities , by the last let- ters , as x , y , z . NOTE . The signs , or characters ... quantity is never omitted , nor the sign , of an affirmative one , one , except it be a single quantity , or ALGEBRA Definitions ...
Σελίδα 265
... quantities , as a and b , while it is unknown which is the greater of the two , we write them thus , ab , which de notes the difference of a and b . 9. Powers of the same quantities or factors are the prod- ucts of their multiplication ...
... quantities , as a and b , while it is unknown which is the greater of the two , we write them thus , ab , which de notes the difference of a and b . 9. Powers of the same quantities or factors are the prod- ucts of their multiplication ...
Σελίδα 333
... quantity , in its simple form , or not raised to any power . Thus , x - abc is a simple equation , containing on- ly the unknown quantity x . Reduction of equations is the method of finding the value of the unknown quantity . It ...
... quantity , in its simple form , or not raised to any power . Thus , x - abc is a simple equation , containing on- ly the unknown quantity x . Reduction of equations is the method of finding the value of the unknown quantity . It ...
Σελίδα 334
... unknown term be multiplied by any quantity , that quantity may be taken away by dividing all the other terms of the equation by it . Thus , if axaba , then will x1 . And if 2x + 4 = 16 , then will x + 2 = 8 , and x — 8—2 6 . In like ...
... unknown term be multiplied by any quantity , that quantity may be taken away by dividing all the other terms of the equation by it . Thus , if axaba , then will x1 . And if 2x + 4 = 16 , then will x + 2 = 8 , and x — 8—2 6 . In like ...
Σελίδα 339
... UNKNOWN QUANTITIES . PROBLEM I. To exterminate two unknown quantities , or to reduce the twa simple equations ... quantity in it , whose value may be found as before . EXAMPLES . 1. Given 2x3323 ; to find x and y . 23-31 From the first ...
... UNKNOWN QUANTITIES . PROBLEM I. To exterminate two unknown quantities , or to reduce the twa simple equations ... quantity in it , whose value may be found as before . EXAMPLES . 1. Given 2x3323 ; to find x and y . 23-31 From the first ...
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Άλλες εκδόσεις - Προβολή όλων
Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1 Πλήρης προβολή - 1808 |
Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1 Πλήρης προβολή - 1808 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 168 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.