Succeeded Quotes (2 quotes)
The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations.
Opening of Memoir on Algebraic Equations, Proving the Impossibility of a Solution of the General Equation of the Fifth Degree. The paper was originally published (1824) in French, as a pamphlet, in Oslo. Collected in uvres Complθtes (1881), Vol. 1, 28. Translation by W.H. Langdon collected in David Eugene Smith, A Source Book in Mathematics (2012), 261. In this work, he showed whydespite two centuries of efforts by mathematicianssolving equations of the fifth degree would remain futile. The insights from this paper led to the modern theory of equations.
[The original development of the Spinning Mule was a] continual endeavour to realise a more perfect principle of spinning; and though often baffled, I as often renewed the attempt, and at length succeeded to my utmost desire, at the expense of every shilling I had in the world.
'Extract from a manuscript document circulated by Crompton about the year 1809 or 1810', reprinted in The Basis of Mr. Samuel Cromptons Claims to a Second Remuneration for his Discovery of the Mule Spinning Machine, (1868), 29.