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The Application of AH-Isometry in the Study of Neutrosophic Conic Sections
Galoitica: Journal of Mathematical Structures and Applications, 2022One of the most important areas of analytic geometry involves the concept of conic sections. The objective of this paper is to introduce the concept of neutrosophic conic sections, so that each neutrosophic conic section represents two classic conic ...
H. .., Mohammad Abobala
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105.47 On a synthetic proof for the conic sections orthoptics
Mathematical Gazette, 2021105.47 On a synthetic proof for the conic sections orthoptics Introduction An orthoptic is the set of points for which two tangent lines of a given curve meet at a right angle (see [1]).
D. Pellegrinetti
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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
Alison Laywine
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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
Alison Laywine
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Curvature radius of conic sections: a kinematic derivation
European journal of physics, 2021Conics are relevant in many undergraduate course on classical physics, from free fall to Rutherford scattering. A pedagogical derivation of the intrinsic expressions of the curvature radius of different types of conic sections is presented.
R. Borghi
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Conic sections fitting in disperse data using Differential Evolution
Applied Soft Computing, 2019Robust conics detection and extraction have received an increased interest due to the potential applications in many critical tasks. In medical imaging, the conics can help to detect optic disk abnormalities in retinographic images, or cranial sections ...
Hugo Aguirre-Ramos +5 more
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Isoptic Curves of Generalized Conic Sections in the Hyperbolic Plane
Ukrainian Mathematical Journal, 2015We recall the notion of generalized hyperbolic angle between proper and improper straight lines, which is only available in Hungarian and Esperanto. Then we summarize the generalized hyperbolic conic sections.
G. Csima, J. Szirmai
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Mathematical methods in the applied sciences, 2019
The G8,2 geometric algebra, also called the double conformal/Darboux cyclide geometric algebra (DCGA), has entities that represent conic sections. DCGA also has entities that represent planar sections of Darboux cyclides, which are called cyclidic ...
R. B. Easter, E. Hitzer
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The G8,2 geometric algebra, also called the double conformal/Darboux cyclide geometric algebra (DCGA), has entities that represent conic sections. DCGA also has entities that represent planar sections of Darboux cyclides, which are called cyclidic ...
R. B. Easter, E. Hitzer
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