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 12
... mode of putting down the work ; and is evidently productive of the same final result , only that the progressive partial multiplications are taken in an inverse order . 3. Multiply 81503600 by 7030 . 4. Multiply 9030100 by 12 ARITHMETIC .
... mode of putting down the work ; and is evidently productive of the same final result , only that the progressive partial multiplications are taken in an inverse order . 3. Multiply 81503600 by 7030 . 4. Multiply 9030100 by 12 ARITHMETIC .
Page 13
... from this also cast out the nines . Place the result at M : and if this last number be the same as that left after casting out the nines from the dividend , the work is probably correct . M EXAMPLES . 1 . Quot . 1 . Quot . 14 ARITHMETIC .
... from this also cast out the nines . Place the result at M : and if this last number be the same as that left after casting out the nines from the dividend , the work is probably correct . M EXAMPLES . 1 . Quot . 1 . Quot . 14 ARITHMETIC .
Page 14
... the nines . Place the result at M : and if this last number be the same as that left after casting out the nines from the dividend , the work is probably correct . M EXAMPLES . 1 . Quot . 3 ) 1234567 ( 14 ARITHMETIC .
... the nines . Place the result at M : and if this last number be the same as that left after casting out the nines from the dividend , the work is probably correct . M EXAMPLES . 1 . Quot . 3 ) 1234567 ( 14 ARITHMETIC .
Page 17
... result from dividing the dividend by the entire divisor * . EXAMPLES . Ex . 1. Divide 3672965 by 2 x 3 x 4 x 5 x 6 ... resulting remainder is 245 , and this combined , as before , with the quotient and divisor gives for the entire ...
... result from dividing the dividend by the entire divisor * . EXAMPLES . Ex . 1. Divide 3672965 by 2 x 3 x 4 x 5 x 6 ... resulting remainder is 245 , and this combined , as before , with the quotient and divisor gives for the entire ...
Page 40
... result for a dividend . 4. Multiply the remaining terms continually , and let the product be a divisor . 5. The quotient of this division will be Q , the term required * . Note . By effective terms are here meant whatever necessarily ...
... result for a dividend . 4. Multiply the remaining terms continually , and let the product be a divisor . 5. The quotient of this division will be Q , the term required * . Note . By effective terms are here meant whatever necessarily ...
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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