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 36
... given for which reason it is sometimes called the Rule of Proportion . It is called the Rule of Three , because three terms or numbers are given , to find a fourth . And because of its great and extensive usefulness , it was often ...
... given for which reason it is sometimes called the Rule of Proportion . It is called the Rule of Three , because three terms or numbers are given , to find a fourth . And because of its great and extensive usefulness , it was often ...
Page 66
... given powers . The root of any number , or power , is such a number , as being multiplied into itself a certain number of times , will produce that power . Thus , 2 is the square root , or 2d root of 4 , because 2 ? = 2 × 2 = 4 ; and 3 ...
... given powers . The root of any number , or power , is such a number , as being multiplied into itself a certain number of times , will produce that power . Thus , 2 is the square root , or 2d root of 4 , because 2 ? = 2 × 2 = 4 ; and 3 ...
Page 78
... Given one of the extremes , the common difference , and the number of terms ; to find the other extreme , and the sum of the series . MULTIPLY the common difference by 1 less than the number of terms , and the product will be the ...
... Given one of the extremes , the common difference , and the number of terms ; to find the other extreme , and the sum of the series . MULTIPLY the common difference by 1 less than the number of terms , and the product will be the ...
Page 86
... given principal to its interest for one year . And again , As 1 year is to any given time , so is the interest for a year , just found , to the interest of the given sum for that time . OTHERWISE . Take the interest of 1 pound for a ...
... given principal to its interest for one year . And again , As 1 year is to any given time , so is the interest for a year , just found , to the interest of the given sum for that time . OTHERWISE . Take the interest of 1 pound for a ...
Page 101
... given terms taken in order , and which are all given in each actual case , and if the answer , as yet unknown , be denoted by x , we shall have the condition , when simplified from all extraneous considerations , expressed thus : abc ...
... given terms taken in order , and which are all given in each actual case , and if the answer , as yet unknown , be denoted by x , we shall have the condition , when simplified from all extraneous considerations , expressed thus : abc ...
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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