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 37
... quotient will be of this last deno- mination . Proceed in the same manner with all the remainders , till they be reduced to the lowest denomination which the second admits of , and the several quotients taken together will be the answer ...
... quotient will be of this last deno- mination . Proceed in the same manner with all the remainders , till they be reduced to the lowest denomination which the second admits of , and the several quotients taken together will be the answer ...
Page 40
... quotient of this division will be Q , the term required * . Note . By effective terms are here meant whatever necessarily and jointly produce any effect ; as the cause and the time ; length , breadth , and depth ; buyer and his money ...
... quotient of this division will be Q , the term required * . Note . By effective terms are here meant whatever necessarily and jointly produce any effect ; as the cause and the time ; length , breadth , and depth ; buyer and his money ...
Page 42
... quotient obtained by dividing the numerator by the denominator : so is equal to 3 , and is equal to 4 . Hence then ... quotient of the former being 6 , and of the latter 8. And the greatest number that will do this is the greatest common ...
... quotient obtained by dividing the numerator by the denominator : so is equal to 3 , and is equal to 4 . Hence then ... quotient of the former being 6 , and of the latter 8. And the greatest number that will do this is the greatest common ...
Page 43
... quotient , and 2 is the 6th . In the new method the remainder is con- sidered and treated as the divisor of the previous quotient , without being placed ( after the first step ) in the usual place of the divisor in common operations ...
... quotient , and 2 is the 6th . In the new method the remainder is con- sidered and treated as the divisor of the previous quotient , without being placed ( after the first step ) in the usual place of the divisor in common operations ...
Page 44
... quotients again in the same man- ner ; and so on , till it appears that there is no number greater than 1 which will divide them ; then the fraction will be in its lowest terms . * That dividing both the terms of the fraction by the ...
... quotients again in the same man- ner ; and so on , till it appears that there is no number greater than 1 which will divide them ; then the fraction will be in its lowest terms . * That dividing both the terms of the fraction by the ...
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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