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ROLLE, Traité d'Algèbre, 1690

Photo ROLLE, Michel. 

ROLLE, Michel. 

Traité d'Algèbre ou principes généraux pour résoudre les questions de mathématique. 

Paris, Estienne Michalet, 1690 [MDCLXC].

4to (245x185 mm), (18)-270-(1)-(1 bl.) pages and two folding plates.  binding : Contemporary full calf, spine gilt in six compartments. Spine and corners repaired. Strong waterstains all along the book. Some leaves repaired on margin. 

Photo ROLLE, Michel. 

First edition.
The "Traité d'algèbre" is the most important work of Rolle.
He invented the notation n √ x to the nth root of x, which is still used today.
His most important contribution, however, is the part where he introduced the concept of "cascades". Let the polynomial equation P (x) = 0 with real roots a and b, then built polynmoe P '(x) he calls the first "cascade" as P' (a) = (ba) Q (b) where Q (x) is a polynomial of degree less. Now P '(x) is call the first derivative of P (x).
Rolle then built second cascade, the second derivative, and so forth to find all the roots of the polynomial.

According to our research, there have been several changes during the printing of the "Traité d'Algèbre".
Copie's with the wrong date (MDCLXC) as our copy, then corrected (M.DC.XC).
Copie's with the sheets FF and FFII (pages 223-226) replaced as in our copy by a single sheet Ff (paged 267/266 error).
Our copy is after adding the FF leaf, but before changing the wrong date on title page.

provenance: Stamps on title page "Labrousse de Soufron" and "R. Grelety".

Price : 1500 €

Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
Photo ROLLE, Michel. 
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