A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 33
... proportional to three num- bers given . Whence it is also 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 num- bers given . Whence it is also 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 65
... 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 68
... proportional between two given terms . RULE . Add the two given extremes or terms together , and take half their sum for the arithmetical mean required . Or , subtract the less extreme from the greater , and half the remainder will be ...
... proportional between two given terms . RULE . Add the two given extremes or terms together , and take half their sum for the arithmetical mean required . Or , subtract the less extreme from the greater , and half the remainder will be ...
Page 69
... second , 47. the third , and so on , each succeeding payment being double the last ; and what will the last payment be ? Ans . the debt 40957. , and the last payment 20487 . PROB . I. To find one geometrical mean proportional between 69.
... second , 47. the third , and so on , each succeeding payment being double the last ; and what will the last payment be ? Ans . the debt 40957. , and the last payment 20487 . PROB . I. To find one geometrical mean proportional between 69.
Page 70
... proportional between any two numbers . RULE . - Multiply the two numbers together , and extract the square root of the product , which will give the mean proportional sought . Or , divide the greater term by the less , and extract the ...
... proportional between any two numbers . RULE . - Multiply the two numbers together , and extract the square root of the product , which will give the mean proportional sought . Or , divide the greater term by the less , and extract the ...
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Common terms and phrases
algebraic ALGEBRAIC QUANTITIES altitude axis base bisected body centre chord circle circumference co-ordinates Corol cosec cosine cube curve decimal denominator diameter difference differential co-efficient distance divide divisor draw dy dx equal equation Example exponent expression extract feet figure force fraction given gravity Hence hyperbola inches latus rectum least common multiple length logarithm manner monomial multiply nth root number of terms parabola parallel parallelogram perpendicular polynomial Prob PROBLEM PROP proportional quotient radius ratio rectangle reduced right angles rule sides sine specific gravity square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards