A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 76
... arithmetical proportion , because 4 ā 2 = 8 ā 6 = 2 , whereas 2 8 = - - 6 : and 4 , 2 , 6 , 3 , are in discontinued geometrical proportion , because 2 , but , which is not the same . - - = = But when the difference or ratio of every two ...
... arithmetical proportion , because 4 ā 2 = 8 ā 6 = 2 , whereas 2 8 = - - 6 : and 4 , 2 , 6 , 3 , are in discontinued geometrical proportion , because 2 , but , which is not the same . - - = = But when the difference or ratio of every two ...
Page 77
... arithmetical progression , is equal to the common difference of the series multiplied by one less than the number of the terms . So , of the ten terms , 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , the common difference is 2 , and one ...
... arithmetical progression , is equal to the common difference of the series multiplied by one less than the number of the terms . So , of the ten terms , 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , the common difference is 2 , and one ...
Page 78
... arithmetical mean 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 ...
... arithmetical mean 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 ...
Page 79
... arithmetical means between 2 and 14 . Here 14 2 2 common difference . Then by adding this common difference continually , the means are found to be 4 , 6 , 8 , 10 , 12 . See more of arithmetical progression in the Algebra . GEOMETRICAL ...
... arithmetical means between 2 and 14 . Here 14 2 2 common difference . Then by adding this common difference continually , the means are found to be 4 , 6 , 8 , 10 , 12 . See more of arithmetical progression in the Algebra . GEOMETRICAL ...
Page 82
... arithmetical , a very short account of it may here suffice . It will however be again noticed both in algebra and in ... arithmetical progression ; and the converse , that is , when numbers are in arithmetical pro- gression , their ...
... arithmetical , a very short account of it may here suffice . It will however be again noticed both in algebra and in ... arithmetical progression ; and the converse , that is , when numbers are in arithmetical pro- gression , their ...
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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 uā vulgar fraction Whence