A Treatise on the Resolution of the Higher Equations in Algebra |
Common terms and phrases
a² c² Algebra becomes x² Bezout biquadratic equation by² coefficients Conversely the roots cubic equation cubic in art deduce different resolutions deduce the resolution depends Descartes different equations equa equations in art Euler EXAMPLE feign Ferrari find the roots formula functions higher equations known last article becomes last equation becomes limiting equation becomes Lx² Meditationes Algebraicæ method obtained particular forms PROBLEM proposed biquadratic putting q P² q Q² q x² q² Q quadratics x² quantities RADCLIFFE OBSERVATORY required to deduce resolve this equation revert to art second assumed equation second equation second term shewn sixth degree substi substitute different values substituting them successively three roots tion becomes TREATISE Tschirnhaus Waring