Significance of Conic Section in Daily Life and Real Life Questions Related to it in Different Sectors
DOI:
https://doi.org/10.47134/ppm.v1i4.902Keywords:
Conic sections, circle, ellipse, parabola, hyperbolaAbstract
Students tend to think of mathematics as, “that difficult, boring subject” that only exists within the walls of a classroom. Many students do not realize that mathematics is all around us occurring in our daily lives. Mathematics can be found easily in everyday activities such as cooking, driving, and even walking. Here, we are going to overview the conic section: ellipse, circle, parabola, hyperbola from different angle of life. In this report we will be analyzing a very crucial applications of conic section in the medical field, engineering field, some real life based questions will be sloved, some galleries specially a whispering gallery and some elliptical art works. We will be looking that how a conic section had given a great way to our life.
References
Alsina C. & Nelsen R.B. (2010) : Charming Proofs: A Journey into Elegant Mathematics. DOI: https://doi.org/10.5948/UPO9781614442011
Washington, DC: Mathematical Association of America. Retrieved from http://www.maa.org/node/8223
Bertrand, M. (2015) : Dandelin Spheres and the Conic Sections. Retrieved from
http://nonagon.org/ExLibris/dandelion-spheres-conic-sections
Easter, R. B. (2020). Conic and cyclidic sections in double conformal geometric algebra
G8,2 with computing and visualization using Gaalop. Mathematical Methods in the Applied Sciences, 43(1), 334–357. https://doi.org/10.1002/mma.5887 DOI: https://doi.org/10.1002/mma.5887
Estapa, A. & Nadolny, L. (2015) : The Effect of an Augmented Reality Enhanced
Mathematics. Lesson on student Achievement and Motivation and Journal of STEM
Education, 16(3), 40-49. Retrieved http://www.jstem.org/index.php?journal=JSTEM
Further, J. & Gonzalez - De Hass, A. (2011) : How do Students’ Mastery and Performance
Goals Relate to Math Anxiety? Eurasia Journal of Mathematics, Science & Technology Education, 7(4), 227-242. Doi:10.12973/Eurasia.2019
Glaeser, Georg; Stachel, Hellmuth; Odehnal, Boris (2016), The Universe of Conics: From the DOI: https://doi.org/10.1007/978-3-662-45450-3
ancient Greeks to 21st century developments, Berlin: Springer
In-Im, S. (2024). Effect of Constructivist Web-Based Learning Environment to Enhance Learning’s Problem-Solving in Mathematics on Conic Section. 2024 International Technical Conference on Circuits/Systems, Computers, and Communications, ITC-CSCC 2024. https://doi.org/10.1109/ITC-CSCC62988.2024.10628388 DOI: https://doi.org/10.1109/ITC-CSCC62988.2024.10628388
Jaud, D. (2024). Geometric properties of integrable Kepler and Hooke billiards with conic section boundaries. Journal of Geometry and Physics, 204. https://doi.org/10.1016/j.geomphys.2024.105289 DOI: https://doi.org/10.1016/j.geomphys.2024.105289
Kanas, S. (2019). Functions of bounded variation related to domains bounded by conic sections. Mathematica Slovaca, 69(4), 833–842. https://doi.org/10.1515/ms-2017-0272 DOI: https://doi.org/10.1515/ms-2017-0272
Li, Y. (2023). CSD-RkNN: reverse k nearest neighbors queries with conic section discriminances. International Journal of Geographical Information Science, 37(10), 2175–2204. https://doi.org/10.1080/13658816.2023.2249521 DOI: https://doi.org/10.1080/13658816.2023.2249521
Lüttge, N. (2022). Approximation of nose curves with conic sections. PESS 2021 - Power and Energy Student Summit, Conference Proceedings, 110–114. https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85137143116&origin=inward
Pellegrinetti, D. (2021). 105.47 On a synthetic proof for the conic sections orthoptics. Mathematical Gazette, 105(564), 533–538. https://doi.org/10.1017/mag.2021.129 DOI: https://doi.org/10.1017/mag.2021.129
Protter, Murray H.; Morrey, Charles B. Jr. (1970), College Calculus with Analytic
Geometry (2nd ed.), Reading:
Richter-Gebert, Jürgen (2011). Perspectives on Projective Geometry: A Guided Tour Through DOI: https://doi.org/10.1007/978-3-642-17286-1
Real and Complex Geometry. Springer.
Sahani, S.K.,et al., A case study on analytic geometry and its applications in real life,
international Journal of Mechanical Engineering, Vol.4, no.1, June 2019, 151-163, DOI : https://doi.org/10.56452/4-18
Salsabila, E. (2019). Analysis of Mathematical Literacy on Students’ Metacognition in Conic Section Material. Journal of Physics: Conference Series, 1417(1). https://doi.org/10.1088/1742-6596/1417/1/012057 DOI: https://doi.org/10.1088/1742-6596/1417/1/012057
Thomas, George B.; Finney, Ross L. (1979), Calculus and Analytic Geometry (fifth ed.), Addison
Wesley, p. 434
Weisstein, E. (2016, May 17) : Conic Section. [In Wolfram Math World Web Resources].
Retrieved from http://mathworld.wolfram.com/ConicSection.html
Wilson and tracey 1925, Wilson, W.A.; Tracey, J.I. (1925), Analytic Geometry (Revised ed.), D.C.
Heath and Company
Won, J. S. (2021). Numerical finger kinematic models derived from virtual grasping of various cylindrical objects with the family of conic sections. Journal of Mechanisms and Robotics, 13(1). https://doi.org/10.1115/1.4048257 DOI: https://doi.org/10.1115/1.4048257
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Copyright (c) 2024 Prem Kumar Das, Suresh Kumar Sahani, Shyam Kishore Mahto

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