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 151
... surd or irrational number : so 4 is a com- plete power of the second kind , its root being 2 ; but an imperfect power of the third kind , its root being a surd number . Evolution is the finding of the roots of numbers either accurately ...
... surd or irrational number : so 4 is a com- plete power of the second kind , its root being 2 ; but an imperfect power of the third kind , its root being a surd number . Evolution is the finding of the roots of numbers either accurately ...
Σελίδα 267
... surds ; whereof those consisting of one term only , as andax , are called simple surds ; and those consisting of several terms , asab + cd and -b2 + bc , compound , surds . 16. When any quantity is to be taken more than once , the ...
... surds ; whereof those consisting of one term only , as andax , are called simple surds ; and those consisting of several terms , asab + cd and -b2 + bc , compound , surds . 16. When any quantity is to be taken more than once , the ...
Σελίδα 280
... surd cube root be multiplied into itself , and that product into the same root , the product is rational . And , in ... surds of the same quantity are multiplied in the same manner as simple ones . Thus , a + x | * × a + x ] = a + x1a ...
... surd cube root be multiplied into itself , and that product into the same root , the product is rational . And , in ... surds of the same quantity are multiplied in the same manner as simple ones . Thus , a + x | * × a + x ] = a + x1a ...
Σελίδα 281
... surds become rational . NOTE 2 . Different quantities under the same radical sign are multiplied together like rational quantities , only the product , if it do not become rational , must stand un- der the same radical sign . Thus ...
... surds become rational . NOTE 2 . Different quantities under the same radical sign are multiplied together like rational quantities , only the product , if it do not become rational , must stand un- der the same radical sign . Thus ...
Σελίδα 289
... Surd quantities under the same radical sign are divided , one by the other , like rational quantities , only the quotient , if it do not become rational , must stand un- der the same radical sign . Thus , the quotient of ✓✓ / 21 ...
... Surd quantities under the same radical sign are divided , one by the other , like rational quantities , only the quotient , if it do not become rational , must stand un- der the same radical sign . Thus , the quotient of ✓✓ / 21 ...
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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.