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Ellipse, arc of ellipse and elliptic spline

Computers & Graphics, 1983
Abstract A general method for generating ellipses by using conjugate radii is presented. Elliptical arcs are then defined based on this method for generating ellipses. A 90° arc of ellipse is then used to generate a number of curves with slope constraints. Other arc of ellipse interpolations are then discussed.
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On Lemoine’s Ellipse

The Mathematical Gazette, 1950
1. In a triangle ABC of area Δ, BC = a, CA = b, AB = c are the sides; 0 the centre and R the radius of the circumcircle;
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Die Ellipse als Kreisprojektion. Fläche der Ellipse

1925
Es liege eine Ellipse und der grose Scheitelkreis gezeichnet vor. Nach § 40 Gl. (1) ist \(PC = \frac{b}{a} \cdot QC\). Denken wir uns nun den Scheitelkreis aus der Papierebene, der Ebene der Ellipse, um den Durchmesser A 1 A 2 herausgedreht, bis der Punkt D senkrecht uber B 1 liegt, dann liegt jeder andere Kreispunkt genau senkrecht uber oder unter dem
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Ellipse & fragment. Morceaux choisis

2013
L'histoire de la linguistique est traversée de plusieurs courants qui se sont intéressés à des énoncés "incomplets", traités tantôt comme "elliptiques", tantôt comme "fragmentaires", selon le rapport que l'on établit ou non avec des structures sous-jacentes " canoniques ".
Roig, Audrey   +3 more
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Ellipses

Abstract Ellipses fill the void when writers take a word or phrase out of the middle or end of a quote. In our online world, cutting and pasting is so easy that plenty of lawyers overload their writing with quotations. The justices do not. When they do insert a quote, they make sure every word is necessary.
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On the Bounds of the Perimeter of an Ellipse

Acta Mathematica Scientia, 2022
Tie-Hong Zhao, Yu-Ming Chu
exaly  

WHEN AN “ELLIPSE” IS NOT AN ELLIPSE

Plastic and Reconstructive Surgery, 1970
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Ellipses

2009
Robert Leigh   +4 more
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