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 8
... one 339 Quadratic Equations 354 Cubic and Higher Equations · 370 GEOMETRY . Definitions . Problems Construction of the Plane Scale ( Prob . L. ) • 381 392 420 EXPLANATION OF CHARACTERS . = SIGN IGNIFIES equality as 20 viii CONTENTS .
... one 339 Quadratic Equations 354 Cubic and Higher Equations · 370 GEOMETRY . Definitions . Problems Construction of the Plane Scale ( Prob . L. ) • 381 392 420 EXPLANATION OF CHARACTERS . = SIGN IGNIFIES equality as 20 viii CONTENTS .
Σελίδα 60
... PROBLEM I. To find the greatest common measure of two or more numbers . RULE . † 1. If there be two numbers only , divide the greater . by the less , and this divisor by the remainder , and so on ; always dividing the last divisor by ...
... PROBLEM I. To find the greatest common measure of two or more numbers . RULE . † 1. If there be two numbers only , divide the greater . by the less , and this divisor by the remainder , and so on ; always dividing the last divisor by ...
Σελίδα 62
... PROBLEM II . Ans . 8 . To find the least common multiple of two or more numbers . RULE . * 1. Divide by any number , that will divide two or more of the given numbers without a remainder , and set the quotients , together with the ...
... PROBLEM II . Ans . 8 . To find the least common multiple of two or more numbers . RULE . * 1. Divide by any number , that will divide two or more of the given numbers without a remainder , and set the quotients , together with the ...
Σελίδα 143
... of this kind are called by algebraists indeterminate or unlimited problems , and , by an analytical process , theorems may be raised , that will give all the possible answers . 3. How much corn at 2s . 6d . 35. ALLIGATION ALTERNATE . 143.
... of this kind are called by algebraists indeterminate or unlimited problems , and , by an analytical process , theorems may be raised , that will give all the possible answers . 3. How much corn at 2s . 6d . 35. ALLIGATION ALTERNATE . 143.
Σελίδα 168
... PROBLEM I. The first term , the last term , and the number of terms being 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 . EXAMPLES ...
... PROBLEM I. The first term , the last term , and the number of terms being 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 . EXAMPLES ...
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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.