Special Points in a Triangle and Determination of the Point of Slamilkh

T. P. MalutinaDonbas National Academy of Civil Engineering and ArchitectureA. S. MishchenkoDonbas National Academy of Civil Engineering and ArchitectureS. A. LozitskyDonbas 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.

PDF

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: 19.11.2024). – ISSN 2519-2817.


Issue Cover
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