The North American Arithmetic: for advanced scholars. Part third |
From inside the book
Results 1-5 of 49
Page 3
... less than the exercises in Part Second are calculated to af- ford . While preparing this book , I have kept in prominent view , two classes of scholars ; viz . - those who are to prose- cute a full course of mathematical studies , and ...
... less than the exercises in Part Second are calculated to af- ford . While preparing this book , I have kept in prominent view , two classes of scholars ; viz . - those who are to prose- cute a full course of mathematical studies , and ...
Page 5
... less . NUMBERS are the expressions of quantity . Their names are , One , Two , Three , Four , Five , Six , Seven , Eight , Nine , Ten , & c . In quantities of multitude , One expresses a UNIT ; that is , an entire , single thing ; as ...
... less . NUMBERS are the expressions of quantity . Their names are , One , Two , Three , Four , Five , Six , Seven , Eight , Nine , Ten , & c . In quantities of multitude , One expresses a UNIT ; that is , an entire , single thing ; as ...
Page 10
... less than they are denoted : this process is the reverse of carrying in addition . One other method may be adopted in this case ; viz . Increase both the minuend and subtrahend , by mentally adding ten to the deficient place in the ...
... less than they are denoted : this process is the reverse of carrying in addition . One other method may be adopted in this case ; viz . Increase both the minuend and subtrahend , by mentally adding ten to the deficient place in the ...
Page 11
... less than it is . PROOF . Add together the remainder and the smaller number : their sum will be equal to the greater number , if the work be right . 1. What is the difference between 70240 and 69418 ? 2. How much is the excess of the ...
... less than it is . PROOF . Add together the remainder and the smaller number : their sum will be equal to the greater number , if the work be right . 1. What is the difference between 70240 and 69418 ? 2. How much is the excess of the ...
Page 20
... less than some multiple of 4 . Prop . 17. Every prime number above 3 , is either 1 greater or 1 less than some multiple of 6 . Prop . 18. The number of prime numbers is unlimit ed . The first ten are , 1 , 2 , 3 , 5 , 7 , 11 , 13 , 17 ...
... less than some multiple of 4 . Prop . 17. Every prime number above 3 , is either 1 greater or 1 less than some multiple of 6 . Prop . 18. The number of prime numbers is unlimit ed . The first ten are , 1 , 2 , 3 , 5 , 7 , 11 , 13 , 17 ...
Other editions - View all
The North American Arithmetic ...: For Advanced Scholars, Part 2 Frederick Emerson No preview available - 2016 |
Common terms and phrases
75 cents acres annuity annum avoirdupois bajocchi Bill breadth bushels called carats cask ciphers common difference compound interest contain continual proportionals cost cube root denominator denoted diameter discount dividend divisor dollars 50 cents dry measure Ducat equal example exchange expressed Extract the square factors Federal money feet long figure Find a mean Flemish florin foot francs frustrum gallons given number Hamburgh hogshead hundred improper fraction least common multiple length London maravedis mean proportional measure merchant miles minuend mixed number months multiplied number of terms number of things ounces paid payable payment pence pezza places pound sterling pounds present worth quantity quotient ratio received Reduce remainder repetend rix dollar rods RULE rupee scudo series of continual shillings sold Spanish dollars square root sterling Subtract Suppose third power United vulgar fraction weight whole number wide wine yards of cloth
Popular passages
Page 55 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one 22 twenty-two...
Page 183 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 114 - Multiply each debt by its term of credit, and divide the sum of the products by the sum of the debts. The quotient will be the average term of credit.
Page 219 - Thirty days after sight of this first of exchange (second and third of the same tenor and date unpaid...
Page 178 - ... 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...
Page 38 - 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 212 - Multiply continually together all the terms of the natural series of numbers, from 1 up to the given number, and the last product will be the answer.
Page 216 - EXCHANGE. EXCHANGE is the act of paying or receiving the money of one country for its equivalent in the money of another country, by means of bills of exchange. This operation, therefore, comprehends both the reduction of moneys, and the negotiation of bills. It determines the comparative value of the currencies of...
Page 252 - The Gramme, which is the weight of a cubic centimetre of distilled water of the temperature of melting ice, is the unit of all weights.