The Ruled Surface Nature of Hyperbolic Paraboloid and Its Applications

Guoxiang GUI

Abstract


In geometry, the curved surface formed by the movement of a straight line is called a ruled surface, and the hyperbolic paraboloid is a typical ruled surface. In this study, by analyzing the image and properties of the hyperbolic paraboloid, the related geometric properties are listed. Its ruled surface nature was proved by constructing a straight generatrix on the curved surface, and the related theorem of straight generatrix was obtained. Due to the advantages of ruled surface nature, the hyperbolic paraboloid has a wide range of applications in daily life, including construction, machinery, and water conservancy, etc.


Keywords


Hyperbolic paraboloid; Ruled surface; Application

Full Text:

PDF

References


Lü, L., & Xu, Z. Z. (2001). Analytic geometry. Beijing: Higher Education Press.

Wang, J. G., & Fu, R. R. (1999). Spatial analytic geometry. Beijing: Beijing Normal University Press.

Zhang, Z. J., et al. (1995). Application and teaching of ruled surface. Journal of Hebei University of Coal and Architecture, (4), 1-2.




DOI: http://dx.doi.org/10.3968/11965

Refbacks

  • There are currently no refbacks.


Copyright (c) 2021 Management Science and Engineering

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Share us to:   


Reminder

  • How to do online submission to another Journal?
  • If you have already registered in Journal A, then how can you submit another article to Journal B? It takes two steps to make it happen:

1. Register yourself in Journal B as an Author

  • Find the journal you want to submit to in CATEGORIES, click on “VIEW JOURNAL”, “Online Submissions”, “GO TO LOGIN” and “Edit My Profile”. Check “Author” on the “Edit Profile” page, then “Save”.

2. Submission

  • Go to “User Home”, and click on “Author” under the name of Journal B. You may start a New Submission by clicking on “CLICK HERE”.


We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
caooc@hotmail.com; mse@cscanada.net; mse@cscanada.org

 Articles published in Management Science and Engineering are licensed under Creative Commons Attribution 4.0 (CC-BY).

 MANAGEMENT SCIENCE AND ENGINEERING Editorial Office

Address:1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.

Telephone: 1-514-558 6138
Http://www.cscanada.net Http://www.cscanada.org

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures