From his lectures and researches at Bonn sprang his first great work, Analytisch-geometrische Entwickelungen (vol.
In the first volume Of the Entwickelungen he applied the method of abridged notation to the straight line, circle and conic sections, and he subsequently used it with great effect in many of his researches, notably in his theory of cubic curves.
In the second volume of the Entwickelungen he clearly established on a firm and independent basis the great principle of duality.
Another subject of importance which Plucker took up in the Entwickelungen was the curious paradox noticed by L.
After Steiner's publication (1832) of his Systematische Entwickelungen he received, through Jacobi's exertions, who was then professor at Konigsberg, an honorary degree of that university; and through the influence of G.
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