A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 17
... successive numbers is given their composition . The resulting remainder is 245 , and this combined , as before ... successively divided ) we have 12 r3 da di r4 dз r5 a1 + d d2 + d , dqd + d , da da d1 + d1 d2 d d d + di Τι + ... + ...
... successive numbers is given their composition . The resulting remainder is 245 , and this combined , as before ... successively divided ) we have 12 r3 da di r4 dз r5 a1 + d d2 + d , dqd + d , da da d1 + d1 d2 d d d + di Τι + ... + ...
Page 33
... successively by its component parts , instead of the whole number at once . EXAMPLES . 1. 15 cwt of cheese , at 17s 6d per cwt . £ s d 0 17 6 3 2 12 6 5 £ 13 2 6 Answer . 2 . 20 cwt of hops , at 41 7s 2d per cwt . 24 tons of hay , at 31 ...
... successively by its component parts , instead of the whole number at once . EXAMPLES . 1. 15 cwt of cheese , at 17s 6d per cwt . £ s d 0 17 6 3 2 12 6 5 £ 13 2 6 Answer . 2 . 20 cwt of hops , at 41 7s 2d per cwt . 24 tons of hay , at 31 ...
Page 43
... successive products than in the old method . One advantage is , that it saves the repetition of the writing of the dividend figures . A more important one ( and which is of great practical convenience in the corresponding algebraical ...
... successive products than in the old method . One advantage is , that it saves the repetition of the writing of the dividend figures . A more important one ( and which is of great practical convenience in the corresponding algebraical ...
Page 56
... successive multiplication . The sum of these successive lines of products will give the general product required . It will always be better to calculate one place of decimals more than are required by the question . See the subsequent ...
... successive multiplication . The sum of these successive lines of products will give the general product required . It will always be better to calculate one place of decimals more than are required by the question . See the subsequent ...
Page 64
... successively below the inch , are employed . We are obliged , however , to keep the denominations in separate columns ... successive denomination in juxta - position as in our common notation . But if there were distinct and concentrated ...
... successively below the inch , are employed . We are obliged , however , to keep the denominations in separate columns ... successive denomination in juxta - position as in our common notation . But if there were distinct and concentrated ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence