Special Points in a Triangle and Determination of the Point of Slamilkh
T. P. Malutina, A. S. Mishchenko, S. A. Lozitsky
Donbas National Academy of Civil Engineering and Architecture
Abstract: The article is devoted to the description of the previously obtained relations [1] for singular points of a triangle based on point (BN) calculus, and the addition of this list with the Schlemilch point formula. The basis for obtaining it was the S-theorem [2] (area ratio theorem) of point calculus, which made it possible to find the intersection point of lines in a multidimensional space.
Keywords: point (BN-) calculus, simplex plane, singular points of a triangle, Schlemilch’s lines, mathematical apparatus, computational algorithms, multidimensional space.
Pages: 32-37.
Link for citation: Malutina, T. P.; Mishchenko, A. S.; Lozitsky, S. A. Special Points in a Triangle and Determination of the Point of Slamilkh. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2019. – Issue 2019-4(138) Scientific and technical achievements of students of the construction and architectural industry. – Р. 32-37. – URL: https://donnasa.ru/publish_house/journals/vestnik/2019/2019-4(138)/st_06_malytina_mishenko_lozitsky.pdf (date of access: 15.10.2024). (in Russian)
Issue 2019-4 (138)Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture