Philosophical Transactions, Giving Some Account of the Present Undertakings, Studies, and Labours of the Ingenious, in Many Considerable Parts of the World, Volumes 34-36C. Davis, Printer to the Royal Society of London, 1964 |
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Pagina 107
... greater than the triple Produ✈ of the first and third . If the Cubic Equation has all its Roots real they may be ... greater than ab + c + bc ; and confequently adding 2 a b + 2 a c + 2 b c to both fides , a ' + b2 + c2 + 2 a b + 2 a c ...
... greater than the triple Produ✈ of the first and third . If the Cubic Equation has all its Roots real they may be ... greater than ab + c + bc ; and confequently adding 2 a b + 2 a c + 2 b c to both fides , a ' + b2 + c2 + 2 a b + 2 a c ...
Pagina 111
... greater than the Product of the firft and third Terms ; and of the Square of the fourth Term is al- ways greater than the Product of the third and fifth Terms . 1. Let the Equation be x- x2 + q x2 — r x + 5 = 0 ; and fince the Roots are ...
... greater than the Product of the firft and third Terms ; and of the Square of the fourth Term is al- ways greater than the Product of the third and fifth Terms . 1. Let the Equation be x- x2 + q x2 — r x + 5 = 0 ; and fince the Roots are ...
Pagina 112
... greater than 2 m B , and mix D ' greater than 2 m C E. 1. For fuppofing the Roots to be a , b , c , d , e , & c . then by Lemma 4 , fhall mix a2 + m ~ 1 x b2 + m— 1 xc2 & c . be greater than 2ab + 2ac + 2 ad , & c . and ad- ding 2 m ...
... greater than 2 m B , and mix D ' greater than 2 m C E. 1. For fuppofing the Roots to be a , b , c , d , e , & c . then by Lemma 4 , fhall mix a2 + m ~ 1 x b2 + m— 1 xc2 & c . be greater than 2ab + 2ac + 2 ad , & c . and ad- ding 2 m ...
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