## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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Page vii

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**Reduction**18 17 Problems on these rules 131 131 Tables of weights and measures 18 18 Greatest common measure .. 132 Comparison of French and English ... 25 23 Least common multiple 136 Compound addition 27 25 Algebraic Fractions 137 132 ... Page 17

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**Reducing**these to a common denominator , we have r1 d2 d3d4 d5 ... + r2 d3d4 d5 ... + r3d4 d5 ... + 14 d5 ... + 15 ...**reduction**may be gradually effected thus : 1 + 2 +3 +4 + " ' " s d2 r d2 + 12 d3 r1 d2 d3 + 12 d3 + 13 d4 r1 d2 ... Page 18

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**REDUCTION**.**REDUCTION**is the changing of numbers from one name or denomination to another , without altering their value . This is chiefly concerned in**reducing**money , weights , and measures . When the numbers are to be**reduced**from a ... Page 19

... , or equal to 5 dwt . 33 gr . very nearly , as stated in the preceding tables . And multiples and parts of the sovereign and shilling in their several proportions . WEIGHTS AND MEASURES , Agreeably to the Act of Uniformity c2

... , or equal to 5 dwt . 33 gr . very nearly , as stated in the preceding tables . And multiples and parts of the sovereign and shilling in their several proportions . WEIGHTS AND MEASURES , Agreeably to the Act of Uniformity c2

**REDUCTION**. Page 26

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**Reduce**this amount in like manner , by multiplying it by as many of the next lower as make an integer of this , taking in the odd parts of this lower , as ...**Reduce**1185388 farthings into pounds , shillings 26 RULES FOR**REDUCTION**.### Other editions - View all

### Common terms and phrases

a₁ ABCD algebraic annum arithmetical arithmetical progression base bisect centre circle circumference coefficients common difference compound compound interest cosec cube root decimal denominator denote diagonal diameter distance divided dividend division divisor draw drawn equal equiangular EXAMPLES expression factors figure fraction geometrical geometrical progression given number greater hence inscribed integer intersection least common multiple length less lineation logarithms method Multiply number of terms parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radius ratio rectangle Reduce remainder result right angles rule Scholium sides signs solution square root straight line subtract tangent THEOREM third triangle ABC vulgar fraction Whence whole yards