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
Results 6-10 of 63
Page 80
... proportionality will subsist . As 6 x 4 3 :: 14 x 4 : 7 ; viz . 24 : 3 :: 56 : 7 and 6 2 : 3 :: 14 ÷ 2 : 7 ; viz . 3 ; 3 : 7 : 7 . Also , applying the proposition in note 2 , Addition of Vulgar Fractions , to the terms of a proportion ...
... proportionality will subsist . As 6 x 4 3 :: 14 x 4 : 7 ; viz . 24 : 3 :: 56 : 7 and 6 2 : 3 :: 14 ÷ 2 : 7 ; viz . 3 ; 3 : 7 : 7 . Also , applying the proposition in note 2 , Addition of Vulgar Fractions , to the terms of a proportion ...
Page 81
... proportional between any two numbers . MULTIPLY the two numbers together , and extract the square root of the pro- duct , which will give the mean proportional sought . EXAMPLE . To find a geometrical mean between the two numbers 3 and ...
... proportional between any two numbers . MULTIPLY the two numbers together , and extract the square root of the pro- duct , which will give the mean proportional sought . EXAMPLE . To find a geometrical mean between the two numbers 3 and ...
Page 82
... : 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 .
... : 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 ...
Other editions - View all
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