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+7 (8352) 222-490
RU
428000
Чувашская Республика
г.Чебоксары
ул.Гражданская, д.75
56.125001
47.208966

Rectangles in Lobachevskian Geometry Contradict Euclid's 4th Postulate

Research Article
DOI: 10.21661/r-551656
Open Access
Monthly international scientific journal «Interactive science»
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Published in:
Monthly international scientific journal «Interactive science»
Authors:
Chemeris V. D. 1 , Chemeris I.A. 2
Work direction:
Физика
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Article accesses:
1648
Published in:
eLibrary.ru
1 net dannykh
2 MBOU SOSh 143
For citation:
Chemeris V. D., & Chemeris I. A. (2020). Rectangles in Lobachevskian Geometry Contradict Euclid's 4th Postulate. Interactive science, 54-56. https://doi.org/10.21661/r-551656

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UDC 514

Abstract

This article can be considered the final proof of Euclid’s 5th postulate. Nevertheless, its main purpose is to show that the difference between Lobachevskian and Euclidean geometry is much more significant than is commonly believed to date.

References

  1. 1. Atanasian, L. S. (2017). Geometriia Lobachevskogo., 467. M.: Laboratoriia znanii.
  2. 2. Bakhvalov, S. V., & Ivanitskaia, V. P. (1972). Osnovaniia geometrii (glavy vysshei geometrii)., 280. M.: Vysshaia shkola.
  3. 3. Iovlev, N. N. (1930). Vvedenie v elementarnuiu geometriiu i trigonometriiu Lobachevskogo., 67. M.; L.: Gosizdat.
  4. 4. Kutuzov, B. V. (1950). Geometriia Lobachevskogo i elementy osnovanii geometrii., 127. M.: Gos. uchebno-pedagogicheskoe izd-vo Ministerstva prosveshcheniia RSFSR.
  5. 5. Lobachevskii, N. I. (1956). Izbrannye trudy po geometrii., 596. M.: Izd-vo Akademii nauk SSSR.
  6. 6. (1948). Nachala Evklida. Knigi I-VI., 447. M.: Gosudarstvennoe izdatel'stvo tekhniko-teoreticheskoi literatury; L.
  7. 7. Chemeris, V. D., & Chemeris, I. A. (2020). Rectangles in Lobachevsky Geometry. Interactive science, 5 (51), 60-61.

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