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 90
... ratio ; and , therefore , may be properly introduced in this place . A mill , * The coins of federal money are two of gold , four of silver , and two of copper . The gold coins are called an eagle and haif- eagle ; the silver , a dollar ...
... ratio ; and , therefore , may be properly introduced in this place . A mill , * The coins of federal money are two of gold , four of silver , and two of copper . The gold coins are called an eagle and haif- eagle ; the silver , a dollar ...
Página 102
... ratio . So of these numbers 6 and 3 , the difference or arithmetical ratio is 6-3 or 3 ; and the geometrical ratio is or 2 . If two or more couplets of numbers have equal ratios , or differences , the equality is named proportion ; and ...
... ratio . So of these numbers 6 and 3 , the difference or arithmetical ratio is 6-3 or 3 ; and the geometrical ratio is or 2 . If two or more couplets of numbers have equal ratios , or differences , the equality is named proportion ; and ...
Página 103
... ratio of each consequent and the antecedent of the next following couplet be the same as the common difference or ratio of the couplets , the pro- portion is said to be continued , and the numbers themselves a series of continued ...
... ratio of each consequent and the antecedent of the next following couplet be the same as the common difference or ratio of the couplets , the pro- portion is said to be continued , and the numbers themselves a series of continued ...
Página 105
... ratio , which is between two other given numbers . For this reason it is sometimes named the Rule of Proportion . It is called the Rule of Three , because in each of its questions there are given three numbers at least . And be- cause ...
... ratio , which is between two other given numbers . For this reason it is sometimes named the Rule of Proportion . It is called the Rule of Three , because in each of its questions there are given three numbers at least . And be- cause ...
Página 106
... ratio , yet this ratio is the same as that of the two numbers taken abstractly , only when they are of the same denomination . Thus the ratio of 11. to 21 . is the same as that of 1 to 2 −1 ; 1ș . has a real ratio to 21. but it is not the ...
... ratio , yet this ratio is the same as that of the two numbers taken abstractly , only when they are of the same denomination . Thus the ratio of 11. to 21 . is the same as that of 1 to 2 −1 ; 1ș . has a real ratio to 21. but it is not the ...
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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.