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Different definitions of conic sections in hyperbolic geometry [PDF]

, 2016
In classical Euclidean geometry, there are several equivalent definitions of conic sections. We show that in the hyperbolic plane, the analogues of these same definitions still make sense, but are no longer equivalent, and we discuss the relationships ...
Patrick Chao, Jonathan Rosenberg
semanticscholar +1 more source

Learning Trajectory for Pre-Service Mathematics Teachers in Geometry through the Context of Bengkulu Conic-Section Batik Patterns

Inovasi Matematika
The understanding of analytic geometry is often hindered by its abstract presentation and its disconnection from local contexts familiar to students.
Ratnah Lestary, Febri Kristiani, Pika Merliza +2 more
doaj +1 more source

Feasibility Study on Evaluation Method for Plateau Surfaces by Conic Curve Fitting Using Information of Conjugate Diameter

Engineering Proceedings, 2023
Plateau surfaces have excellent sliding properties because only the high peaks of surface asperity are smoothed. Therefore, they form the sliding surfaces for automobile engines and machine tools, contributing to their high performance and low ...
Ryo Sakakibara, Ichiro Yoshida
doaj +1 more source

Vector constants of the motion and orbits in the Coulomb/Kepler problem

, 2003
The equation for the conic sections describing the possible orbits in a potential $V \sim r^{-1}$ is obtained by means of a vector constant of the motion differing from the traditional Laplace-Runge-Lenz vector.Comment: 5 pages, no ...
Munoz, Gerardo
core +1 more source

GUI for conic sections: parabola, ellipse and hyperbola

Revista mexicana de física E
In this paper we provide three Excel spreadsheets for the explanation of Parabola, Ellipse and Hyperbola respectively. Our target audience is University science students (Physics/Mathematics/Computer science) and mentors.
Saima Gul, Muhammad Yousuf Tufail
semanticscholar +1 more source

Conic Section Elements Based on the Rational Absolute Nodal Coordinate Formulation

Mathematics
The construction of rational absolute nodal coordinate formulation (RANCF) elements is usually based on a linear transformation of non-uniform rational B-spline (NURBS) geometry.
Yaxiong Liu, Manyu Shi, Manlan Liu, Peng Lan +3 more
doaj +1 more source

Convex recovery of a structured signal from independent random linear measurements [PDF]

, 2014
This chapter develops a theoretical analysis of the convex programming method for recovering a structured signal from independent random linear measurements.
D. Amelunxen +20 more
core +3 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
wiley +1 more source

Image Analysis based on Radon-type Integral Transforms Over Conic Sections

VISIGRAPP, 2018
This paper presents a generalized Radon transform defined on conic sections called Conic Radon Transform (CRT) for image analysis. The proposed CRT extends the classical Radon transform (RT) which integrates a image function $f(x, y)$ over straight lines.
D. Hamdi, M. Nguyen, Hedi Tabia, A. Hamouda +3 more
semanticscholar +1 more source

Crafting Conic Sections [PDF]

Math Horizons, 2021
Circles, ellipses, parabolas, and hyperbolas are called conic sections because each of these curves arises as the boundary of a slice of a cone. Imagine slicing a solid cone of clay.
openaire +1 more source

conic section
conic
ellipse

analytic geometry
parabola
mathematics

inclined surface
sections