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Research at Burgas Free University >
2. Издания на БСУ от международни конференции / Collection of Papers of BFU from International Conferences >
2011. Взаимодействието теория - практика: Ключови проблеми и решения. Том 1 >
Please use this identifier to cite or link to this item:
http://research.bfu.bg:8080/jspui/handle/123456789/227
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| Заглавие: | Еквидистанти на сферични циклоиди |
| Други Заглавия: | Equidistants to spherical cycloids |
| Автори: | Dolchinkov, Radostin
Georgieva, Penka |
| Issue Date: | 2011 |
| Издател: | Burgas Free University, 62, San Stefano Str., 8001 Burgas, Bulgaria |
| Цитиране: | International research conference ,“Interaction of theory and practice: key problems and solutions”, Burgas, 24 - 25 june 2011 |
| Серия/Отчет но.: | BFU_MK_2011_TOM_III;str-85 |
| Резюме: | Plane cycloids can be obtained from two rolling in cylinders with parallel axes. If these cylinders are transformed to tangential cones with coincident vertexes the plane cycloids become space cycloids. The mathematical description of the movement of a rolling cone over a static cone can be presented by matrix calculations or by transformations of an initial coordinate system, which is connected with the static cone. The obtained curve is a spherical cycloid. The application of the spherical cycloids is closely connected with the description of their equidistants. In this paper the mathematical models of spherical cycloids and their equidistants is derived by transformations of the initial coordinate system. Examples for equidistants of different types of space cycloids are obtained and shown. |
| Описание: | International research conference 2011 |
| URI: | http://research.bfu.bg:8080/jspui/handle/123456789/227 |
| ISBN: | 978-954-9370-80-5 |
| Appears in Collections: | 2011. Взаимодействието теория - практика: Ключови проблеми и решения. Том 1
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