The North American Arithmetic: Part Third, for Advanced Scholars, Volume 3 |
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Page 157
... extraction of the root is finding a number , which being multiplied into itself the requisite number of times , will ... extract the biquadrate root of 81 , we find it to be 3 , because 3 × 3 × 3 × 3 = 81 . - Hence the root is designated ...
... extraction of the root is finding a number , which being multiplied into itself the requisite number of times , will ... extract the biquadrate root of 81 , we find it to be 3 , because 3 × 3 × 3 × 3 = 81 . - Hence the root is designated ...
Page 160
... EXTRACTION OF THE SQUARE ROOT . The product of a number multiplied by itself , is call- ed a square ; and for this reason , the number , considered in ... extract the square root of 160 XXIX . ARITHMETIC . Extraction of the Square Root.
... EXTRACTION OF THE SQUARE ROOT . The product of a number multiplied by itself , is call- ed a square ; and for this reason , the number , considered in ... extract the square root of 160 XXIX . ARITHMETIC . Extraction of the Square Root.
Page 161
... extract the square root of any number , we point it off into periods of two figures each , by placing a dot over the place of units , another over hundreds , & c . Thus 1936. The places in the root can never be more or less in number ...
... extract the square root of any number , we point it off into periods of two figures each , by placing a dot over the place of units , another over hundreds , & c . Thus 1936. The places in the root can never be more or less in number ...
Page 163
... extraction of the square root , the principles of which we will now proceed to explain . We have already learned ... extract the square root of 2025 , and explain the process , step by step . Divisor . 40 X 2 = 80 Divisor , increased ...
... extraction of the square root , the principles of which we will now proceed to explain . We have already learned ... extract the square root of 2025 , and explain the process , step by step . Divisor . 40 X 2 = 80 Divisor , increased ...
Page 164
... extracting the square root , which we shall here- after give . Suppose 169 square rods of land are to be laid out in ... extract the square root of the given number of square rods , and that root will be the answer . 16913 Ans . We here ...
... extracting the square root , which we shall here- after give . Suppose 169 square rods of land are to be laid out in ... extract the square root of the given number of square rods , and that root will be the answer . 16913 Ans . We here ...
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Common terms and phrases
75 cents acres annuity annum avoirdupois bajocchi Bill breadth bushels called carats cask ciphers compound interest contain continual proportionals cost cube root denominator denoted diameter discount divided 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 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 178 - 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 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...
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 265 - ... last product by 95, the quotient whereof shall be deemed the true contents or tonnage of such ship or vessel; and if such ship or vessel be single-decked, take the length and breadth, as above directed, deduct from...
Page 184 - ... 5, 7, 9, 11, 13, 15, &c. is an ascending series. ( 15, 13, 11, 9, 7, 5, 3, &c. is a descending series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.
Page 7 - Cardinal numbers: 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20...
Page 171 - ... is equal to the square root of the difference of the squares of the hypotenuse and the other leg.
Page 177 - Find how many times the divisor is contained in the dividend, and place the result in the quotient.
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 in the dividend...