The philosopher's stone / by P.H. Vander Weyde.

  • Peter Henri Van Der Weyde
Date:
1861 [i.e. 1862]
Catalogue details

Licence: Public Domain Mark

Credit: The philosopher's stone / by P.H. Vander Weyde. Source: Wellcome Collection.

Provider: This material has been provided by the National Library of Medicine (U.S.), through the Medical Heritage Library. The original may be consulted at the National Library of Medicine (U.S.)

    32/42
    ' = -74#'+4) 2 2 Let os now for an example adopt a = 2. we will have x = - 1 ± k V $ = — 1 ± V 2, or , •/ 2 = 1 -f- x£- ind now substituting the value of a? from equation [e] 1 /*=! + 1 «+ - 1 a + a' + etc, in which <* is to be taken = 2 to produce the expression fotf' yf 2 given pag 28. For ct = 6 we have j=^3± ■/ 10 and V* 10 = 3 4- x. 1 / 10 = 3 + - 1 a -\—i ; 1 a + , a -f etc. in which a is to be made = 6 to find the expression for -/10, see pag. 28. Let us lastly, for a second example adopt a general continued fraction repeating two figures alternately 1 x = — 1 a + 1 b + - 1 b -f- etc. If here we substitute x for the rest of the fraction after the seconds- denominator, we will have