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
... proportional to three numbers 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 ...
... proportional to three numbers 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 ...
Page 75
... proportional , a colon is set between the terms of each couplet , to denote their ratio ; and a double colon , or else a mark of equality , between the couplets or ratios . So , the four proportionals , 4 , 2 , 6 , 3 , are set thus , 4 ...
... proportional , a colon is set between the terms of each couplet , to denote their ratio ; and a double colon , or else a mark of equality , between the couplets or ratios . So , the four proportionals , 4 , 2 , 6 , 3 , are set thus , 4 ...
Page 76
... proportionality , can be readily subjected to Euclid's test : but the proposition is not convertible . Hence ... proportional quantities as expressed by numbers , to whatever branch of pure or applied mathematics they may refer ...
... proportionality , can be readily subjected to Euclid's test : but the proposition is not convertible . Hence ... proportional quantities as expressed by numbers , to whatever branch of pure or applied mathematics they may refer ...
Page 78
... proportional between two given terms . ADD the two given extremes or terms together , and take half their sum for the arithmetical mean required . EXAMPLE . To find an arithmetical mean between the two numbers 4 and 14 . 14 + 4 Here = 9 ...
... proportional between two given terms . ADD the two given extremes or terms together , and take half their sum for the arithmetical mean required . EXAMPLE . To find an arithmetical mean between the two numbers 4 and 14 . 14 + 4 Here = 9 ...
Page 79
... proportional between two numbers is the square root of their product . We may without destroying the accuracy of a proportion , give to its various terms all the changes which do not affect the equality of the products of the means and ...
... proportional between two numbers is the square root of their product . We may without destroying the accuracy of a proportion , give to its various terms all the changes which do not affect the equality of the products of the means and ...
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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