| dbo:abstract |
Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci and in bipolar coordinates become a ring of radius in the plane of the toroidal coordinate system; the -axis is the axis of rotation. The focal ring is also known as the reference circle. (en) Тороидальная система координат — ортогональная система координат в пространстве, координатными поверхностями которой являются торы, сферы и полуплоскости. Данная система координат может быть получена посредством вращения двумерной биполярной системы координат вокруг оси, равноудалённой от фокусов биполярной системы. (ru) Coordenadas toroidais são um sistema de coordenadas , tridimensional que é gerado pela rotação do sobre um eixo que separa seus dois focos. Assim, os dois focos e em coordenadas bipolares se tornam um anel de raio no plano plane do sistema de coordenadas toroidais; o eixo é o eixo de rotação. (pt) 圓環坐標系（英語：Toroidal coordinates）是一種三維正交坐標系。設定二維橢圓坐標系包含於 xz-平面；兩個焦點 與 的直角坐標分別為 與 。將雙極坐標系繞著 z-軸旋轉，則可以得到圓環坐標系。雙極坐標系的兩個焦點，變為一個半徑為 的圓圈，包含於圓環坐標系的 xy-平面。稱這圓圈為焦圓，又稱為參考圓。 (zh) |
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wiki-commons:Special:FilePath/Toroidal_coordinates.png?width=300 |
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http://mathworld.wolfram.com/ToroidalCoordinates.html https://archive.org/details/elemtreatfour00byerrich https://archive.org/details/mathematicsphysi00marg_501 https://archive.org/details/mathematicsphysi00marg_501/page/n203 |
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| rdfs:comment |
Toroidal coordinates are a three-dimensional orthogonal coordinate system that results from rotating the two-dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci and in bipolar coordinates become a ring of radius in the plane of the toroidal coordinate system; the -axis is the axis of rotation. The focal ring is also known as the reference circle. (en) Тороидальная система координат — ортогональная система координат в пространстве, координатными поверхностями которой являются торы, сферы и полуплоскости. Данная система координат может быть получена посредством вращения двумерной биполярной системы координат вокруг оси, равноудалённой от фокусов биполярной системы. (ru) Coordenadas toroidais são um sistema de coordenadas , tridimensional que é gerado pela rotação do sobre um eixo que separa seus dois focos. Assim, os dois focos e em coordenadas bipolares se tornam um anel de raio no plano plane do sistema de coordenadas toroidais; o eixo é o eixo de rotação. (pt) 圓環坐標系（英語：Toroidal coordinates）是一種三維正交坐標系。設定二維橢圓坐標系包含於 xz-平面；兩個焦點 與 的直角坐標分別為 與 。將雙極坐標系繞著 z-軸旋轉，則可以得到圓環坐標系。雙極坐標系的兩個焦點，變為一個半徑為 的圓圈，包含於圓環坐標系的 xy-平面。稱這圓圈為焦圓，又稱為參考圓。 (zh) |
| rdfs:label |
Coordenadas toroidais (pt) Toroidal coordinates (en) Тороидальная система координат (ru) 圓環坐標系 (zh) |
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