SOLUTION OF THE ALGEBRAIC EQUATIONS OF THE 4th DEGREE IN ?GENERAL ARITHMETICS? OF L. EULER

The work on the algebra of Leonhard Euler under the title "General Arithmetics" (1768-1769) that more than half century was the main textbook of algebra is examined in the article. The main methods of the solution of the algebraic equations of the fourth degree are briefly analyzed: polynomial factoring standing in the left-hand side of the equation; Ferrari's solution; the method developed by Euler with use of substitutions of Descartes. The some iterative methods for the solution of the equations of the highest degrees are noted.