The School-master's Guide: Or, a Complete System of Practical Arithmetic: Adapted to the Use of Schools. ... The Second Edition. By Charles Hutton, ... |
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Page 118
... ratio ; and the other confiders their quotient , which is termed geometrical relation , and the quotient the geometrical ra- tio . So of these numbers 6 and 3 ; the difference , or a- rithmetical ratio , is 6-33 ; and the geometrical ratio ...
... ratio ; and the other confiders their quotient , which is termed geometrical relation , and the quotient the geometrical ra- tio . So of these numbers 6 and 3 ; the difference , or a- rithmetical ratio , is 6-33 ; and the geometrical ratio ...
Page 119
... ratio of each confequent and the antecedent of the next following couplet be the fame as the common difference or ratio of the couplets , the pro- portion is faid to be continual , and the numbers them- felves a feries of continua ...
... ratio of each confequent and the antecedent of the next following couplet be the fame as the common difference or ratio of the couplets , the pro- portion is faid to be continual , and the numbers them- felves a feries of continua ...
Page 120
... ratio of the confequent of one couplet and the antecedent of the next couplet , be not the fame as the common difference or ratio of the cou plets , the proportion is faid to be discontinual . So 4 , 2 , 8 , 6 are in difcontinued ...
... ratio of the confequent of one couplet and the antecedent of the next couplet , be not the fame as the common difference or ratio of the cou plets , the proportion is faid to be discontinual . So 4 , 2 , 8 , 6 are in difcontinued ...
Page 130
... ratio or quotient of every two adjacent terms is the fame . Note , The fame thing is true with refpect to the ... ratio , to conftruct a geometrical feries . RULE . For an afcending feries multiply the ratio into the first term , the ...
... ratio or quotient of every two adjacent terms is the fame . Note , The fame thing is true with refpect to the ... ratio , to conftruct a geometrical feries . RULE . For an afcending feries multiply the ratio into the first term , the ...
Page 131
... ratio must be raised , is high , the opera . tion will be abbreviated by working according to the 2d note in ... ratio 2 ? Anf . 64 . 20 3. What is the 13th term of the defcending feries , whofe firft term is 60 , and the ratio 3 - Anf ...
... ratio must be raised , is high , the opera . tion will be abbreviated by working according to the 2d note in ... ratio 2 ? Anf . 64 . 20 3. What is the 13th term of the defcending feries , whofe firft term is 60 , and the ratio 3 - Anf ...
Common terms and phrases
20 caracts account at fol afcending alfo anfwer annum arithmetical means arithmetical progreffion barter becauſe Bought cafe cafh caſh cent ciphers coft common difference compofition compound debt decimals defcending feries denominator difcharged diminiſhed diſtance dividend divifion divifor equal EXAMPLES exchange expreffed extract extremes fame fecond feveral fhall fhillings figures filk fimple firft term firſt fome fometimes fquare fter fterling fubtract fuch fugar fundries fuppofing fuppofition gain gallon geometrical progreffion given number given term greater greateſt term grofs improper fractions integer intereft itſelf laft leaft term leaſt ledger lefs Meaſure miles milrea mixt number months muft multiply muſt be mixed Note number fought number of terms perfon piaftre pound problem propofed proportion quantity queftion quotient raiſed ratio Reduce refult remainder RULE tare thefe theſe thoſe uſe vulgar fractions whofe whoſe wine worth yard
Popular passages
Page 148 - A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds : she scuds away at the rate of...
Page 109 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 39 - If a footman travel 130 miles in 3 days, when the days are 12 hours long ; in how many days, of 10 hours each, may he travel 360 miles ? Ans. 9|f days. 5. If 120 bushels of corn can serve 14 horses 56 days, how many days will 94 bushels serve 6 horses?
Page 140 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Page 44 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 32 - ... number, if any, which was in this denomination before, then divide the sum as usual, and so on, till the whole is finished. The method of proof is the same as in Simple Division.
Page 43 - RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 144 - If a quantity of provisions serves 1500 men 12 weeks, at the rate of 20 ounces a day for each man, how many men will the same provisions maintain for 20 weeks, at the rate of 8 ounces a day for each man ? 55.
Page 57 - ... 1 from 5 to 15 ; 2 from 15 to 25 ; 3 from 25 to 35, &c.
Page 104 - RULE. Find, as in Alligation Medial, what will be the rate of a mixture made of the given quantities of the limited ingredients only; then consider this as the rate of a limited ingredient, whose quantity is the sum of the...