 | James Ryan, Robert Adrain - 1824 - 542 pages
...the same as the second, orc=6, the proportion is said to be continued, and we have ad=b3, or b=^/ad; where it is evident, that the product of the extremes...the square root of the product of the two extremes. 478. Also, from the equality, 7=-., there will re6 « suit — r-= — r~ '• f°r> by °dding or... | |
 | James Ryan - 1824 - 550 pages
...or 6=^/«v where it is evident, thai the product of ike extremes of t/trce proportionals, is equr/l to the square of the mean : or, that the mean is equal to the square root of the product of the two er.trem.ts. 478. Also, from the equality , 7— -j> there will result -7— =—5— • for, by adding... | |
 | John Bonnycastle - 1825 - 336 pages
...as the second, or c =a6, the proportion is said to be continued, and we have ad = 62 , or 6 = ^/ad; where it is evident, that the product of the extremes...the square root of the product of the two extremes. antecedents, or leading terms of each pair, are the same parts of their consequents, or the consequents... | |
 | James Ryan - 1826 - 430 pages
...same as the second, or c—b, the proportion is said to be continued, and ive have ad~b*, or b=^/ad ; where it is evident, that •the product of the extremes...the mean : or, that the mean is equal to the square rnot of the product of the two extremes. 478. Also, from the equality, -r=-., there will result -==odb... | |
 | John Bonnycastle - 1829 - 372 pages
...as the second, or c = 6, the proportion is said to be continued, and we hare ad =.6 a, or i = v/od; where it is evident, that the product of the extremes...the mean is equal to the square root of the product of flie two extremes. antecedents, or leading terms of each pair, are the samt parts of their consequents,... | |
 | John Bonnycastle - 1834 - 330 pages
...as the second, or c = 6, the proportion is said to be continued, and we have ad = It2, or b = V ad j where it is evident, that the product of the extremes...extremes. Also, if each member of the equation ad = be be successively divided by bd, dc, ac, &c. the results will give =/| ', 6 " Or the proportions... | |
 | James Ryan, Robert Adrain - 1835 - 388 pages
...same as the second, or c=b, the proportion is said to be continued, and we have ad—V, or b=^/ad ; where it is evident, that the product of the extremes...the square root of the product of the two extremes. ft c • 423. Also, from the equality, T = -TI there will result =-=- : for, by adding or subtracting... | |
 | Lewis Tomlinson - 1840 - 362 pages
...The arithmetical mean is equal to half the sum of the given magnitudes or numbers ; the geometrical mean is equal to the square root of the product of the two numbers or magnitudes. The mean of more numbers or magnitudes than two is found, by dividing their... | |
 | John Bonnycastle - 1851 - 288 pages
...said to be continued, and we have ad = hz, or b = V ad; where it is evident, that the product of th£ extremes of three proportionals is equal to the square...extremes. Also, if each member of the equation ad = bc be successively divided by bd, dC, ae } &c., the results will give a C 1 f 7 7 \ — -,\ \a-.b \\c-.d... | |
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V ad j where it is evident, that the product of the extremes of three proportionals is equal to the square of the mean ; or, that the mean is equal to the square root of the product of the two extremes. Also, if each member of the equation ad = be be... 