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, Volume 1 |
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Page 6
... Progression 168 Geometrical do . Simple Interest by Decimals Commission Brokerage Insurance • • Discount by Decimals • • 175 182 • 185 186 • 187 188 • 189 193 Equation Page Equation of Payments : 195 by Decimals 197 Compound vi CONTENTS .
... Progression 168 Geometrical do . Simple Interest by Decimals Commission Brokerage Insurance • • Discount by Decimals • • 175 182 • 185 186 • 187 188 • 189 193 Equation Page Equation of Payments : 195 by Decimals 197 Compound vi CONTENTS .
Page 7
... Payments : 195 by Decimals 197 Compound Interest 202 by Decimals 204 Annuities at Simple Interest 207 Compound do . 210 Value of an Annuity for ever , at Compound Interest Value of an Annuity in Reversion , at Compound Interest 215 216 ...
... Payments : 195 by Decimals 197 Compound Interest 202 by Decimals 204 Annuities at Simple Interest 207 Compound do . 210 Value of an Annuity for ever , at Compound Interest Value of an Annuity in Reversion , at Compound Interest 215 216 ...
Page 116
... pay toward a tax , when 6521. 135 . 4d . is assessed at 831. 12s . 4d . ? Ans . 5s . 1d . 29. Bought 3 tuns of oil for 1511. 145. 85 gallons of which being damaged , I desire to know how I may sell the remainder per gallon so as neither ...
... pay toward a tax , when 6521. 135 . 4d . is assessed at 831. 12s . 4d . ? Ans . 5s . 1d . 29. Bought 3 tuns of oil for 1511. 145. 85 gallons of which being damaged , I desire to know how I may sell the remainder per gallon so as neither ...
Page 138
... pay 361. A put in 23 oxen for 27 days , and B 21 oxen for 35 days ; what part of the rent ought each man to pay ? 23 × 27 = 621 21 × 35-735 1356 1356 : 36 :: 621 : 621 36 72 216 1356 ) 22356 ( 161 . 1356 8796 8136 660 20 1356 ) 13200 ...
... pay 361. A put in 23 oxen for 27 days , and B 21 oxen for 35 days ; what part of the rent ought each man to pay ? 23 × 27 = 621 21 × 35-735 1356 1356 : 36 :: 621 : 621 36 72 216 1356 ) 22356 ( 161 . 1356 8796 8136 660 20 1356 ) 13200 ...
Page 139
... pay of the rent ? Ans . A 111. 55. B 20l . and C 291. 55 . 3. Two merchants enter into partnership for 18 months ; A put into stock at first 2001. and at the end of 8 months he put in 100l . more ; B put in at first 550l . and at the ...
... pay of the rent ? Ans . A 111. 55. B 20l . and C 291. 55 . 3. Two merchants enter into partnership for 18 months ; A put into stock at first 2001. and at the end of 8 months he put in 100l . more ; B put in at first 550l . and at the ...
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Common terms and phrases
2qrs amount 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 nth root number of combinations 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
Popular passages
Page 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.
Page 56 - 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 170 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.