Diagram, flow of two branches of curve by [James Joseph Sylvester] Diagram showing the nature of the flow of two branches of a mathematical curve. Subject: Mathematics Published in Philosophical Transactions as 'Algebraical researches, containing a disquisition on Newton’s rule for the discovery of imaginary roots, and an allied rule applicable to a particular class of equations, together with a complete invariantive determination of the character of the roots of the general equation of the fifth degree, &c'. Received by the Royal Society on 6 April 1864. Read 7 April l864. [1864]