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 9
... denoted by placing the dividend . over a line , and the divisor under it : thus6 + 2 = 3 . :: Signifies arithmetical proportion : thus 24 :: 68 ; here the meaning is , that 4-2 = 8—6—2 . : Signifies geometrical proportion thus 2 : 4 ...
... denoted by placing the dividend . over a line , and the divisor under it : thus6 + 2 = 3 . :: Signifies arithmetical proportion : thus 24 :: 68 ; here the meaning is , that 4-2 = 8—6—2 . : Signifies geometrical proportion thus 2 : 4 ...
Página 149
... denoted by writing their indices above the first power : so the second power of 3 may be denoted thus 3 , the third power thus 33 , the fourth power thus 3 * , & c . and the sixth power of 503 thus 503 . Involution is the finding of ...
... denoted by writing their indices above the first power : so the second power of 3 may be denoted thus 3 , the third power thus 33 , the fourth power thus 3 * , & c . and the sixth power of 503 thus 503 . Involution is the finding of ...
Página 150
... denoted by writing before the power , with the index of the root against it : 3 so the third root of 50 is 50 , and the second root of it is 50 , the index 2 being omitted , which index is always understood , when a root is named or ...
... denoted by writing before the power , with the index of the root against it : 3 so the third root of 50 is 50 , and the second root of it is 50 , the index 2 being omitted , which index is always understood , when a root is named or ...
Página 155
... denoted by that power of 2 ; that is , twice for the fourth root , thrice for the eighth root , and so on . TO EXTRACT THE SQUARE ROOT OF A VUL- GAR FRACTION . RULE . First prepare all vulgar fractions by reducing them to their least ...
... denoted by that power of 2 ; that is , twice for the fourth root , thrice for the eighth root , and so on . TO EXTRACT THE SQUARE ROOT OF A VUL- GAR FRACTION . RULE . First prepare all vulgar fractions by reducing them to their least ...
Página 158
... following analytical process : Suppose N , the given number , to consist of two periods , and let the figures in the root be denoted by a and b . Then 159 3. Add together these three products , namely , 158 ARITHMETIC . Cube Root.
... following analytical process : Suppose N , the given number , to consist of two periods , and let the figures in the root be denoted by a and b . Then 159 3. Add together these three products , namely , 158 ARITHMETIC . Cube Root.
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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.