The North American Arithmetic: part third, for advanced scholarsJenks, Palmer & Company, 1851 - 288 σελίδες |
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Σελίδα 133
... extreme terms ; and the second and third terms , that is , the consequent of the first ratio and the antecedent of the second , are called the mean terms . Thus , in the pro- portion 3 : 9 4 : 12 , 3 and 12 are the extreme terms , - 9 ...
... extreme terms ; and the second and third terms , that is , the consequent of the first ratio and the antecedent of the second , are called the mean terms . Thus , in the pro- portion 3 : 9 4 : 12 , 3 and 12 are the extreme terms , - 9 ...
Σελίδα 134
... extremes shall be equal to the product of the means ; because , whenever the product of the extreme terms of four ... extremes and the products of the means must be the same in all the proportions . Again , the order of the above pro ...
... extremes shall be equal to the product of the means ; because , whenever the product of the extreme terms of four ... extremes and the products of the means must be the same in all the proportions . Again , the order of the above pro ...
Σελίδα 136
... extremes in every proportion is equal to the product of the means , one product may be taken for the other : now if we divide the product of the extremes by one extreme , the quotient is the other extreme ; therefore , if we divide the ...
... extremes in every proportion is equal to the product of the means , one product may be taken for the other : now if we divide the product of the extremes by one extreme , the quotient is the other extreme ; therefore , if we divide the ...
Σελίδα 169
... extremes is equal to the pro- duct of the means ; that is , the product of the two given numbers is equal to the square of the mean proportional . 51. Find a mean proportional between 4 and 256 . 52. Find a mean proportional between 4 ...
... extremes is equal to the pro- duct of the means ; that is , the product of the two given numbers is equal to the square of the mean proportional . 51. Find a mean proportional between 4 and 256 . 52. Find a mean proportional between 4 ...
Σελίδα 184
... extremes ; and the other terms , the means . The number , by which the terms of the series are continually increased or diminished , is called the common difference . Therefore , when the first term and common difference are given , the ...
... extremes ; and the other terms , the means . The number , by which the terms of the series are continually increased or diminished , is called the common difference . Therefore , when the first term and common difference are given , the ...
Άλλες εκδόσεις - Προβολή όλων
The North American Arithmetic: Part Third, for Advanced Scholars Frederick Emerson Πλήρης προβολή - 1834 |
The North American Arithmetic, Part Third for Advanced Scholars Frederick Emerson Πλήρης προβολή - 1856 |
Συχνά εμφανιζόμενοι όροι και φράσεις
75 cents acres annuity annum avoirdupois bajocchi Bill bushels called carats cask cents amount ciphers circumference 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 grotes Flemish 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 piastre places 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
Δημοφιλή αποσπάσματα
Σελίδα 39 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 104 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be computed on the balance, as aforesaid.
Σελίδα 45 - To multiply a whole number by a fraction. RULE. Multiply the whole number by the numerator, and divide the product by the denominator.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 109 - ent,, and amount given, to find the time. RULE. Subtract the principal from the amount, and the remainder will be the interest.
Σελίδα 194 - We have seen, (IT 92,) that compound interest is that, which arises from adding the interest to the principal at the close of each year, and, for the next year, casting the interest on that amount, and so on. The amount of $ 1 for 1 year is...
Σελίδα 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.
Σελίδα 274 - A hare starts 12 rods before a hound ; but is not perceived by him till she has been up 45 seconds ; she scuds away at the rate of 10 miles an hour ; and the dog, on view, makes after her at the rate of 16 miles an hour ; how long will the course hold, and what space will be run over, from the spot where the dog started ? Ans.