The Complete Practical Arithmetician: Containing Several New and Useful Improvements. Adapted to the Use of Schools and Private Tuition |
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Page viii
... Progression , arithmetical and geometrical , the nature of powers , the extraction of roots , and the combination of numbers , & c . , have received considerable improvements from several authors at different periods . About the year ...
... Progression , arithmetical and geometrical , the nature of powers , the extraction of roots , and the combination of numbers , & c . , have received considerable improvements from several authors at different periods . About the year ...
Page xiv
... Progression Geometrical Progression Variations ... Combinations COMPOUND Interest by Deci- mals . 241 Compound Interest . ..... 245 ...... ANNUITIES in Arrears at EQUATION of PAYMENTS at ANNUITIES CERTAIN 247 Compound Interest ...
... Progression Geometrical Progression Variations ... Combinations COMPOUND Interest by Deci- mals . 241 Compound Interest . ..... 245 ...... ANNUITIES in Arrears at EQUATION of PAYMENTS at ANNUITIES CERTAIN 247 Compound Interest ...
Page 205
... progression , the first is 18 , and the third 32 , what is the middle one ? ( 20. ) In a pair of scales , a body weighed 90lb . in one scale , and only 40lb . in the other scale : required the true weight , and the ratio of the lengths ...
... progression , the first is 18 , and the third 32 , what is the middle one ? ( 20. ) In a pair of scales , a body weighed 90lb . in one scale , and only 40lb . in the other scale : required the true weight , and the ratio of the lengths ...
Page 213
... progression , the first term is 4 and the last 108 , what are the two middle terms ? ( 34. ) There are seven numbers in geometrical progres- sion , the first is 9 , and the seventh 36864 , what are all the intermediate terms ; or ...
... progression , the first term is 4 and the last 108 , what are the two middle terms ? ( 34. ) There are seven numbers in geometrical progres- sion , the first is 9 , and the seventh 36864 , what are all the intermediate terms ; or ...
Page 228
... PROGRESSION . Definition . When a series of numbers increase , or decrease , by an equal excess or difference , those num- bers are said to be in arithmetical progression ; such as , 2 , 4 , 6 ... progression , 228 ARITHMETICAL PROGRESSION .
... PROGRESSION . Definition . When a series of numbers increase , or decrease , by an equal excess or difference , those num- bers are said to be in arithmetical progression ; such as , 2 , 4 , 6 ... progression , 228 ARITHMETICAL PROGRESSION .
Common terms and phrases
100 Rix-dollars amount Amsterdam annuity annum answer arithmetical arithmetical progression Avoirdupois bill Bought bushel ciphers common measure compound interest course of exchange cube root decimal denominator difference ditto Divide dividend divisor Ducat ells equal number Examples to Prop Examples to Proposition farthings feet figure Flemish Florins Francs freehold estate gain or loss gallon Genoa geometrical progression given number given sum gross guilders guineas Hamburgh hence improper fraction integer least term Logarithmically London Marcs merchant mixed number months Mult multiplicand Multiply neat weight Note number of terms odd number payable payment Pence sterl Pezzo piastre piece pound sterling pounds present worth principal purchase quantity quotient rate per cent ratio received Reduce remainder repetend Required Rials Rix-dollars shillings sold Soldi sols square root sterling money subtract Table tare Theo tret 4lb vulgar fraction whole number yards of cloth
Popular passages
Page 290 - Ratio is the relation which one quantity bears to another of the same kind, the comparison being made by considering what multiple, part, or parts, one quantity is of the other.
Page 24 - OF TIME. 60 Seconds = 1 Minute 60 Minutes =± 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...
Page 148 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 216 - Multiplier. 2. Multiply each term in the Multiplicand (beginning at the lowest) by the feet in the Multiplier...
Page 210 - To extract the Square Root of a Vulgar Fraction. RULE, Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator.
Page 92 - ... each other ; observing to increase the first figure of every line with what would arise by carrying 1 from 5 to 15, 2 from 15 to 25, &c.
Page 234 - When any number of terms is continued in Geometrical Progression, the product of the two extremes will be equal to...
Page 66 - Divide the terms of the given fraction by any number which will divide them without a remainder, and the quotients again in the same manner ; and so on, till it appears...
Page 69 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 202 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...