## equations

Noun

- plural form of
*equation*

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- In pure algebra Descartes expounded and illustrated the general methods of solving
**equations**up to those of the fourth degree (and believed that his method could go beyond), stated the law which connects the positive and negative roots of an equation with the changes of sign in the consecutive terms, and introduced the method of indeterminate coefficients for the solution of**equations**.' - The
**equations**to the asymptotes are = t y/b and x = =y respectively. - The well-known Treatise on Differential
**Equations**appeared in 1859, and was followed, the next year, by a Treatise on the Calculus of Finite Differences, designed to serve as a sequel to the former work. - During the last few years of his life Boole was constantly engaged in extending his researches with the object of producing a second edition of his Differential
**Equations**much more complete than the first edition; and part of his last vacation was spent in the libraries of the Royal Society and the British Museum. - Thus, 1 - x would represent the operation of selecting all things in the world except horned things, that is, all not horned things, and (1 - x) (1 - y) would give us all things neither horned nor sheep. By the use of such symbols propositions could be reduced to the form of
**equations**, and the syllogistic conclusion from two premises was obtained by eliminating the middle term according to ordinary algebraic rules.

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