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 vii
... 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 Compound addition 27 25 Table of Officers ' pay 29 27 Least common multiple ...
... 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 Compound addition 27 25 Table of Officers ' pay 29 27 Least common multiple ...
Page 17
... Reducing these to a common denominator , we have r1 d2 dз d4 d5 ... + r2 dz d4 d5 . + r3d4 d5 + r4d5 . +15 ... di d2 ... reduction may be gradually effected thus : VOL . I. r1 + r2 + r3 + 4 + 75 d2 rid2 + 12 ძვ r1 d2 d3 + r2 d3 + 13 d4 ...
... Reducing these to a common denominator , we have r1 d2 dз d4 d5 ... + r2 dz d4 d5 . + r3d4 d5 + r4d5 . +15 ... di d2 ... reduction may be gradually effected thus : VOL . I. r1 + r2 + r3 + 4 + 75 d2 rid2 + 12 ძვ r1 d2 d3 + r2 d3 + 13 d4 ...
Page 18
... 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 ...
... 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 . 3 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 c 2 REDUCTION . 19.
... or equal to 5 dwt . 3 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 c 2 REDUCTION . 19.
Page 26
... 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 before ... Reduce 1185388 farthings into pounds , shillings 26 RULES FOR REDUCTION .
... 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 before ... Reduce 1185388 farthings into pounds , shillings 26 RULES FOR REDUCTION .
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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