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 93
... proportional to their sup- position , belong to single position : such as those which require the multipli- cation or division of the number sought by any proposed number ; or when it is to be increased or diminished by itself , or any ...
... proportional to their sup- position , belong to single position : such as those which require the multipli- cation or division of the number sought by any proposed number ; or when it is to be increased or diminished by itself , or any ...
Page 94
... proportional to their positions : such are those , in which the number sought , or their parts , or their multiples , are increased or diminished by some given abso- lute number , which is no known part of the number sought . RULE ...
... proportional to their positions : such are those , in which the number sought , or their parts , or their multiples , are increased or diminished by some given abso- lute number , which is no known part of the number sought . RULE ...
Page 82
... time and double , when each portion is to be proportional to two or more numbers ; as when the stocks of partners are employed for different times . 83 SINGLE FELLOWSHIP . GENERAL RULE . ADD together the 82 ARITHMETIC .
... time and double , when each portion is to be proportional to two or more numbers ; as when the stocks of partners are employed for different times . 83 SINGLE FELLOWSHIP . GENERAL RULE . ADD together the 82 ARITHMETIC .
Page 83
... proportional numbers , is to the whole sum to be parted or divided , so is each of the several proportional numbers , to the corresponding share or part . Or , As the whole stock , is to the whole gain or loss , so is each man's ...
... proportional numbers , is to the whole sum to be parted or divided , so is each of the several proportional numbers , to the corresponding share or part . Or , As the whole stock , is to the whole gain or loss , so is each man's ...
Page 86
... proportional to the principal sum , and also to the time of continuance ; hence arises the following general rule of calculation . As 1007 is to the rate of interest , so is any given principal to its interest for one year . And again ...
... proportional to the principal sum , and also to the time of continuance ; hence arises the following general rule of calculation . As 1007 is to the rate of interest , so is any given principal to its interest for one year . And again ...
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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