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A constructive approach to the quadrics of revolution using 3D dynamic geometry systems with algebraic capabilities
Author(s) -
RoanesLozano Eugenio
Publication year - 2017
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/cae.21775
Subject(s) - constructive , conic section , degenerate energy levels , algebraic number , algebra over a field , computer science , algebraic equation , geometry , mathematics , pure mathematics , mathematical analysis , nonlinear system , programming language , physics , process (computing) , quantum mechanics
Conics and quadrics are classic topics at Engineering Schools. Conics are usually introduced from constructive properties and their equations and classification are presented later. Meanwhile, quadrics are introduced directly from their equations. The availability of 3D dynamic geometry systems allows introducing the quadrics of revolution (degenerate and non‐degenerate) in a constructive way too. How the approach can be used to obtain the equations of one parameter families of quadrics will be also shown. © 2016 Wiley Periodicals, Inc. Comput Appl Eng Educ 25:26–38, 2017; View this article online at wileyonlinelibrary.com/journal/cae ; DOI 10.1002/cae.21775