A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page 27
... give the answer sought . The method of proof is the same as in Simple Addition . EXAMPLES OF MONEY . 1 . £ S 7 13 3 73 d 2 . £ S d 3 . £ S d 4 . £ S d 14 7 5 15 17 10 53 14 8 3 5 10 / 6 18 7 0 2 52 4 0 3 8 19 2 7 8 1 21 2 9 7 16 8 3 14 ...
... give the answer sought . The method of proof is the same as in Simple Addition . EXAMPLES OF MONEY . 1 . £ S 7 13 3 73 d 2 . £ S d 3 . £ S d 4 . £ S d 14 7 5 15 17 10 53 14 8 3 5 10 / 6 18 7 0 2 52 4 0 3 8 19 2 7 8 1 21 2 9 7 16 8 3 14 ...
Page 37
... give the answer , or 4th term sought , viz . of the same denomination as the second term . Note I. If the first and third terms consist of different denominations , reduce them both to the same ; and if the second term be a compound ...
... give the answer , or 4th term sought , viz . of the same denomination as the second term . Note I. If the first and third terms consist of different denominations , reduce them both to the same ; and if the second term be a compound ...
Page 44
... give another fraction equal to the former , is evident . And when these divisions are performed as often as can be done , or when the common divisor is the greatest possible , the terms of the resulting fraction must be the least ...
... give another fraction equal to the former , is evident . And when these divisions are performed as often as can be done , or when the common divisor is the greatest possible , the terms of the resulting fraction must be the least ...
Page 47
... continued pro- duct of the divisors , quotients , and undivided numbers , will give the multiple required . Example EXAMPLES . 1. Reduce ,, and , to a common REDUCTION OF VULGAR FRACTIONS . 47 Table of Officers' 27 Least common multiple.
... continued pro- duct of the divisors , quotients , and undivided numbers , will give the multiple required . Example EXAMPLES . 1. Reduce ,, and , to a common REDUCTION OF VULGAR FRACTIONS . 47 Table of Officers' 27 Least common multiple.
Page 51
... give the product required . * Multiplication of any thing by a fraction , implies the taking some part or parts of the thing ; it may therefore be truly expressed by a compound fraction ; which is resolved by multiplying together the ...
... give the product required . * Multiplication of any thing by a fraction , implies the taking some part or parts of the thing ; it may therefore be truly expressed by a compound fraction ; which is resolved by multiplying together 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