An Elementary Arithmetic Designed for Academies and Schools: Also Serving as an Introduction to the Higher ArithmeticD. Appleton & Company, 1855 - 347 σελίδες |
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Σελίδα iii
... upon many , heretofore imperfectly illustrated . It is regarded as no small merit of the work , that it does not so dilute principles and crumble reasons as to enfeeble their ower or obscure their clearness . There is such a.
... upon many , heretofore imperfectly illustrated . It is regarded as no small merit of the work , that it does not so dilute principles and crumble reasons as to enfeeble their ower or obscure their clearness . There is such a.
Σελίδα 285
... illustrated geometrically as follows : The square ABCD may be en- arged to the square AEKF , by the addition of the two equal rectangles BG and DH , whose lengths are each equal to the side AB of the original square , and whose widths ...
... illustrated geometrically as follows : The square ABCD may be en- arged to the square AEKF , by the addition of the two equal rectangles BG and DH , whose lengths are each equal to the side AB of the original square , and whose widths ...
Σελίδα 295
... + 6 ) .72 + 73 . ( 365 ) = ( 300 + 60 + 5 ) = 300 ' + 3x3003.60 + 3x300.602 + 603 + 3x ( 300 + 60 ) 2.5 + 3x ( 300 + 60 ) .52 + 53 . The cubing of a number may be illustrated geometrically as EXTRACTION OF THE CUBE ROOT . 295.
... + 6 ) .72 + 73 . ( 365 ) = ( 300 + 60 + 5 ) = 300 ' + 3x3003.60 + 3x300.602 + 603 + 3x ( 300 + 60 ) 2.5 + 3x ( 300 + 60 ) .52 + 53 . The cubing of a number may be illustrated geometrically as EXTRACTION OF THE CUBE ROOT . 295.
Σελίδα 296
... illustrated geometrically as fol lows : Let it be required to cube 45 , the number before employed . To simplify the illustration , suppose we are required to find the number of cubic inches in a cube whose side is 45 inches ...
... illustrated geometrically as fol lows : Let it be required to cube 45 , the number before employed . To simplify the illustration , suppose we are required to find the number of cubic inches in a cube whose side is 45 inches ...
Σελίδα 302
... illustrated by blocks . The principle , therefore , of involution and evolution is , strictly speaking , independent of sur- faces and solids ; it is purely arithmetical . From the foregoing demonstration we may deduce the following ...
... illustrated by blocks . The principle , therefore , of involution and evolution is , strictly speaking , independent of sur- faces and solids ; it is purely arithmetical . From the foregoing demonstration we may deduce the following ...
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
amount annex avoirdupois barrels bushels called cancelling ciphers cloth coin column composite number compound contained copper cords cost cube root cubic feet cubic inches currency decimal fraction decimal point deduce this RULE denominate number diameter discount divide dividend division equal equivalent fractions EXAMPLES expressed factors farthings Federal money figure foot gallon geometrical progression give gold grains greatest common divisor Hence hogsheads hundred improper fraction indorsement interest of $100 least common denominator least common multiple length lowest terms MEASURE method miles mills minuend mixed number months multiplicand Multiply number of days numerator and denominator obtain OPERATION ounces pence pounds present worth proceed quantities quotient rate per cent ratio Reduce remainder Repeat the Rule rods Septillions shillings silver sought square feet square root subtract subtrahend Suppose we wish tens third term thousands tiply Troy Weight units vulgar fraction weight whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 113 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Σελίδα 109 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Σελίδα 242 - RULE. Divide the given interest by the interest of the given principal, for the given time, at 1 per cent. EXAMPLES. 1.
Σελίδα 235 - If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Σελίδα 234 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Σελίδα 80 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Σελίδα 338 - In 8 months. 14. A father gives to his five sons $1000, which they are to divide according to their ages, so that each elder son shall receive $20 more than his next younger brother. What is the share of the youngest ? Ans.
Σελίδα 286 - When the number of figures is odd, it is evident that the left-hand, or first period. will consist of but one figure. • II. Find the greatest square in the first period, and place its root at the right of the number, in the form of a quotient in division, also place it at the left of the number.
Σελίδα 304 - The volumes of similar solids are to each other as the cubes of their like dimensions.
Σελίδα 109 - ... number of decimal places in the product is equal to the sum of the decimal places in each factor.