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sección cónica feminine*The solutions to the equations describing the motions produced by this law are called conic sections - ellipses, hyperbolae and parabolae - which you get by intersecting a plane and a cone.**For example he shows how to deform a circle into an ellipse and proves other results on deforming conic sections.**He worked on conic sections and produced important theorems in projective geometry.**These three trajectories are known as conic sections, as they are also the curves produced by cutting a cone along different planes.**He continued his study of mathematics and wrote a dissertation on conic sections for his doctorate in mathematics which was awarded in 1879.*

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