GRAMOTA Publishers suggests publishing your scientific articles in periodicals
Pedagogy. Theory & PracticePhilology. Theory & PracticeManuscript

Archive of Scientific Articles

SOURCE:   Pedagogy. Theory & Practice. Tambov: Gramota, 2018. 1. P. 10-16.
SCIENTIFIC AREA: Pedagogical Sciences
To Publish Article in the Journal | To show issue content | To show all articles in section | Subject Index

License Agreement on scientific materials use.

https://doi.org/10.30853/pedagogy.2018-1.2

INTERDISCIPLINARY CONNECTIONS IN BRANCHES OF MATHEMATICS

Andreev-Tverdov Andrei Igorevich, Borovikov Ivan Fedorovich, Khusnetdinov Timur Rustyamovich
Bauman Moscow State Technical University


Submitted: 24.02.2018.
Abstract. The paper proposes an original method of construction of a tangent to the given arcs of circles for two variants depending on the location of the point of intersection of the tangent line and the straight line connecting the arcs centres. The authors carry out an analysis confirming the reduction in the volume of constructions and the increase in the accuracy of the determination of the intersection points in a new construction method in comparison with the traditional one. An example of the formation of interdisciplinary connections of the graphic solution of the problem with an analytical solution is shown. The proposed solutions of the problem in two variants are accompanied by detailed description and illustrative graphics.
Key words and phrases: , , , , , , , , circle, straight line, tangent line, conjugation, conjugation point, segment, arc centre, radius.
Open the whole article in PDF format. Free PDF-files viewer can be downloaded here.

 

References:
  1. Andreev-Tverdov A. I., Borovikov I. F., Golovacheva L. I. Postroenie sopryazhenii pri zadannoi tochke sopryazheniya // Al'manakh sovremennoi nauki i obrazovaniya. 2016. 5. S. 10-13.
  2. Geometricheskie postroeniya ploskikh figur / sost. A. Yu. Goryachkina, I. A. Goryunova. M.: Izd-vo MGTU im. N. E. Baumana, 2012. 45 s.
  3. Golovnin A. A. Bazovye algoritmy komp'yuternoi grafiki // Problemy kachestva graficheskoi podgotovki studentov v tekhnicheskom vuze: traditsii i innovatsii. 2016. T. 1. S. 13-30.
  4. Ivanov G. S., Dmitrieva I. M. Printsip dvoistvennosti - teoreticheskaya baza vzaimosvyazi sinteticheskikh i analiticheskikh sposobov resheniya geometricheskikh zadach // Geometriya i grafika. 2016. T. 4. 3. C. 3-10. DOI: 10.12737/21528.
  5. Levitskii V. S. Mashinostroitel'noe cherchenie i avtomatizatsiya vypolneniya chertezhei. M.: Vysshaya shkola, 2000. 422 s.
  6. Polubinskaya L. G., Fedorenkov A. P., Yudin E. G. AutoCAD dlya mashinostroitelei: ucheb. posobie. M.: Izd-vo MGTU im. N. E. Baumana, 2012. 79 s.
  7. Rabochaya tetrad' po inzhenernoi grafike / sost. O. G. Melkumyan, V. I. Seregin, N. G. Surkova. M.: Izd-vo MGTU im. N. E. Baumana, 2013. 47 s.
  8. Sal'kov N. A. Nachertatel'naya geometriya - baza dlya geometrii analiticheskoi // Geometriya i grafika. 2016. T. 4. 1. C. 44-54. DOI: 10.12737/18057.
  9. Testov V. A. Osnovnye problemy realizatsii kontseptsii razvitiya matematicheskogo obrazovaniya // Matematicheskie metody i modeli: teoriya, prilozheniya i rol' v obrazovanii. Ul'yanovsk, 2014. 3. S. 278-287.
  10. Fedorenko V. A., Shoshin A. I. Spravochnik po mashinostroitel'nomu chercheniyu. M.: Mashinostroenie, 1981. 416 s.
  11. Fedorenkov A. P., Polubinskaya L. G. Autodesk Inventor: shag za shagom. M.: Eksmo, 2008. 329 s.
  12. Kheifets A. L. Geometricheskaya tochnost' komp'yuternykh algoritmov konstruktivnykh zadach // Problemy kachestva graficheskoi podgotovki studentov v tekhnicheskom vuze: traditsii i innovatsii. 2016. T. 1. S. 367-387.
  13. Kheifets A. L. Nachertatel'naya geometriya kak "beg v meshkakh" // Problemy kachestva graficheskoi podgotovki studentov v tekhnicheskom vuze: traditsii i innovatsii. 2015. T. 1. S. 298-325.
  14. Kheifets A. L. Sravnenie metodov nachertatel'noi geometrii i 3D komp'yuternogo geometricheskogo modelirovaniya po tochnosti, slozhnosti i effektivnosti // Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Stroitel'stvo i arkhitektura. 2015. T. 15. 4. S. 49-63. DOI: 10.14529/build150408.
  15. Khusnetdinov T. R., Polubinskaya L. G., Maksutova R. A., Pavlov A. Yu. Primenenie sistem 3D modelirovaniya v obuchenii studentov distsiplinam kafedry RK-1 "Inzhenernaya grafika" [Elektronnyi resurs] // Inzhenernyi vestnik. 2016. 11. URL: http://engsi.ru/doc/851407.html (data obrashcheniya: 18.01.2018).
  16. Walker W. Monges Theorem in Many Dimensions // The Mathematical Gazette. Vol. 60. 413. P. 185-188.
  17. Wells D. The Penguin Dictionary of Curious and Interesting Geometry. L., 1991. 304 p.

To Publish Article in the Journal | To show issue content | To show all articles in section | Subject Index

2006-2021 GRAMOTA Publishers

site development and search engine optimization (seo): krav.ru