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
University at Cambridge, 1801
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 2
Visualització completa - 1801
Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 1
Visualització completa - 1808
angle annuity annum arithmetical arithmetical progression bushel called carats cent centre circle circumference coefficient common denominator common difference completing the square compound interest cube root cyphers decimal denoted Divide dividend division divisor draw equal equation EXA M P L E EXAMPLES farthings figures gallons geometrical progression geometrical series give given number greater greatest common measure improper fraction integers last term less number logarithm multiplicand Multiply negative Nore number of terms number of things P R O B L E M payment perpendicular pound present worth proportion quotient R U L radius ratio Reduce remainder repetend required to find shews shillings sides simple interest square root subtract Suppose surd taken third triangle unknown quantity vulgar fraction Whence whole number yards
Pàgina 354 - 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.
Pàgina 138 - 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.
Pàgina 381 - 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.
Pàgina 168 - 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.
Pàgina 129 - ... 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.
Pàgina 352 - 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.
Pàgina 389 - 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.
Pàgina 246 - 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.