IDEAS home Printed from https://ideas.repec.org/a/epw/ejmath/v5y2024i3id14290.html

EllipsoHyperbola A Common Approach that Joins the Conic Sections in 2D and 3D Space

Author

Listed:
  • Nikolaos Kallergis

    (High School of Zagora, Greece)

Abstract

This work aspires to interactively reveal through the use of the GeoGebra Software the relationship between the Conic Sections in 3D and the 2D symmetric forms of Conic Sections around O in a coordinate system Oxy, that is Circle, Ellipse, axis x'x, and Hyperbola, showing that these Conic Sections arise from the same algebraic formula and therefore have common characteristics. This manuscript includes short research on the four kinds of Conic Sections through a common approach that joins them in the two-but also in three-dimensional space, revealing the role of the slope of the Generator line of the conic surface and the role of the slope of the cutting plane in their equations.

Suggested Citation

Handle: RePEc:epw:ejmath:v:5:y:2024:i:3:id:14290
DOI: 10.24018/ejmath.2024.5.3.290
as

Download full text from publisher

File URL: https://eu-opensci.org/index.php/ejmath/article/view/14290
File Function: Abstract page
Download Restriction: no
File URL: https://eu-opensci.org/index.php/ejmath/article/download/14290/3273
File Function: Full text
Download Restriction: no
File URL: https://libkey.io/10.24018/ejmath.2024.5.3.290?utm_source=ideas
LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
---><---

More about this item

Keywords

;
;
;
;

Statistics

Access and download statistics

Corrections

All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:epw:ejmath:v:5:y:2024:i:3:id:14290. See general information about how to correct material in RePEc.

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

We have no bibliographic references for this item. You can help adding them by using this form .

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Support Team (email available below). General contact details of provider: https://eu-opensci.org/index.php/ejmath .

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.