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Conic that best fits an off-axis conic section
Annual Meeting Optical Society of America, 1986To help in the fabrication of off-axis conic sections, we present a method of approximating this off-axis section by an on-axis conic centered on the portion desired. This method is based on the continuum least-squares method to obtain the vertex’s curvature and conic constant of the fitted conic on-axis, given the curvature at the vertex and the conic
O, Cardona-Nunez +4 more
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Annual Meeting Optical Society of America, 1989
In most treatments of the reflecting properties of the conic sections, the properties are stated without proof. In this paper the conic sections are derived from first principles as surfaces which produce specific effects on light rays. For example, the ellipse is taken to be a surface which reflects all rays emanating from one fixed point in a plane ...
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In most treatments of the reflecting properties of the conic sections, the properties are stated without proof. In this paper the conic sections are derived from first principles as surfaces which produce specific effects on light rays. For example, the ellipse is taken to be a surface which reflects all rays emanating from one fixed point in a plane ...
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Canadian Journal of Philosophy, 2014
This paper tries to make sense of Kant’s scattered remarks about conic sections to see what light they shed on his philosophy of mathematics. It proceeds by confronting his remarks with the source that seems to have informed his thinking about conic sections: the Conica of Apollonius. The paper raises questions about Kant’s attitude towards mathematics
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This paper tries to make sense of Kant’s scattered remarks about conic sections to see what light they shed on his philosophy of mathematics. It proceeds by confronting his remarks with the source that seems to have informed his thinking about conic sections: the Conica of Apollonius. The paper raises questions about Kant’s attitude towards mathematics
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