International Research Journal of Innovations in Engineering and Technology - IRJIET International Open Access, Monthly, Peer Reviewed, Reputed Journal ISSN (online): 2581-3048

Impact Factor (2025): 6.9

DOI Prefix: 10.47001/IRJIET

Use a Combination of Two Methods: The Projection Plane Replacement Method and the Cone Method Circumscribing the Sphere to Solve Complex Geometry Problems

Manh Hong DoSchool of the Mechanic, Descriptive Geometry and Engineering Drawing Department, Hanoi University of Science and Technology, No. 1, Dai Co Viet Street, Hai Ba Trung district, Hanoi, Viet Nam

Vol 9 No 3 (2025): Volume 9, Issue 3, March 2025 | Pages: 249-253

International Research Journal of Innovations in Engineering and Technology

OPEN ACCESS | Research Article | Published Date: 03-04-2025

doi Logo doi.org/10.47001/IRJIET/2025.903033

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Abstract

Geometry is a complex science and is widely used in daily life. Descriptive geometry is widely used in design works and construction of technical drawings for manufacturing. Many complex problems cannot be solved without finding a suitable auxiliary configuration. This article proposes a method to solve complex problems. This method will combine 2 methods of replacing the projection plane and the method of the cone circumscribing the sphere to solve the following complex problems.

Keywords

Sphere: sp, Cone: co, Plane: pl


Citation of this Article

Manh Hong Do. (2025). Use a Combination of Two Methods: The Projection Plane Replacement Method and the Cone Method Circumscribing the Sphere to Solve Complex Geometry Problems. International Research Journal of Innovations in Engineering and Technology - IRJIET, 9(3), 249-253. Article DOI https://doi.org/10.47001/IRJIET/2025.903033

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References
  1. Dinh Tri Nguyen (editor-in-chief), Advanced Mathematics, volume 1, Education Publishing House 2006. ...  Thuy Thanh Nguyen, Background of complex variable theory, VNU Publishing House, 2006.
  2. Dinh Tri Nguyen (editor) - Van Dinh Ta - Ho Quynh Nguyen ... Advanced Math Exercises Episode 1 - Dinh Tri Nguyen June 3, 2018In "Curriculum".
  3. Mechanics Program (Episode 2: Dynamics) – Sanh Do (Editor). September 2016 - publisher of Hanoi University of Science and Technology.
  4. Long Hoang, Tien Long Banh –Graphics 1, Publishing house of Ha Noi University of Science and Technology, 2016.
  5. Long Hoang, Tien Long Banh –Graphics 2, Publishing house of Ha Noi University of Science and Technology, 2016.
  6. Van Than Hoang (editor-n-chief), Nhu Kim Doan, Tien Tho Duong - Descriptive geometry, Science and Technology Publishing House, 2005.
  7. Duc Hue Nguyen, Van Nhien Nguyen, Quoc Sung Dao, Van Tien Nguyen- Engineering Drawing, Publishing house of Ha Noi University of Science and Technology, 2002.
  8. Huu Que Tran, Van Cu Dang, Van Tuan Nguyen, Mechanical Engineering Drawing, Vietnam Education Publishing House, 2006.
  9. Huu Que Tran, Engineering Drawing, Vietnam Education Publishing House, 2007.
  10. Mon Do Manh, Dinh Dien Nguyen, Descriptive Geometry, Ha Noi Education Publishing House, 1997.
  11. S. K. Bogolyubov, Exercises in Machine drawing, Mir Publishing House, 1980.

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