A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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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 ...
Page 71
... proportional each to one single given number only ; as when the stocks of partners are all employed for the same time : and Double , when each portion is to be proportional to two or more numbers ; as when the stocks of partners are ...
... proportional each to one single given number only ; as when the stocks of partners are all employed for the same time : and Double , when each portion is to be proportional to two or more numbers ; as when the stocks of partners are ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards