Definition of brachistochrone in English:

brachistochrone

nounbrəˈkɪstəkrəʊnbrəˈkistəˌkrōn

Mathematics

A curve between two points along which a body can move under gravity in a shorter time than for any other curve.
最速降线，捷线（指连接两点的曲线；物体在重力作用下沿此曲线运动所需时间较任何其他曲线为短）
Example sentencesExamples
- Here one can see a graph of the brachistochrone for the given endpoint.
- An inverted cycloid is the brachistochrone, that is the curve between two points in a vertical plane, along which a bead needs the shortest time to travel.
- Further enhancements will guide the user through the development of brachistochrones for force fields which differ from gravitational force fields.
- The brachistochrone problem was one of the earliest problems posed in the calculus of variations.
- The brachistochrone is a cycloid, but that cycloid is not the only curve satisfying the equation.

Origin

Late 18th century: from Greek brakhistos 'shortest' + khronos 'time'.

Definition of brachistochrone in US English:

brachistochrone

nounbrəˈkistəˌkrōn

Mathematics

A curve between two points along which a body can move under gravity in a shorter time than for any other curve.
最速降线，捷线（指连接两点的曲线；物体在重力作用下沿此曲线运动所需时间较任何其他曲线为短）
Example sentencesExamples
- Here one can see a graph of the brachistochrone for the given endpoint.
- Further enhancements will guide the user through the development of brachistochrones for force fields which differ from gravitational force fields.
- An inverted cycloid is the brachistochrone, that is the curve between two points in a vertical plane, along which a bead needs the shortest time to travel.
- The brachistochrone problem was one of the earliest problems posed in the calculus of variations.
- The brachistochrone is a cycloid, but that cycloid is not the only curve satisfying the equation.

Origin

Late 18th century: from Greek brakhistos ‘shortest’ + khronos ‘time’.

词汇	brachistochrone
释义	Definition of brachistochrone in English: brachistochrone nounbrəˈkɪstəkrəʊnbrəˈkistəˌkrōn Mathematics A curve between two points along which a body can move under gravity in a shorter time than for any other curve. 最速降线，捷线（指连接两点的曲线；物体在重力作用下沿此曲线运动所需时间较任何其他曲线为短） Example sentencesExamples Here one can see a graph of the brachistochrone for the given endpoint. An inverted cycloid is the brachistochrone, that is the curve between two points in a vertical plane, along which a bead needs the shortest time to travel. Further enhancements will guide the user through the development of brachistochrones for force fields which differ from gravitational force fields. The brachistochrone problem was one of the earliest problems posed in the calculus of variations. The brachistochrone is a cycloid, but that cycloid is not the only curve satisfying the equation. Origin Late 18th century: from Greek brakhistos 'shortest' + khronos 'time'. Definition of brachistochrone in US English: brachistochrone nounbrəˈkistəˌkrōn Mathematics A curve between two points along which a body can move under gravity in a shorter time than for any other curve. 最速降线，捷线（指连接两点的曲线；物体在重力作用下沿此曲线运动所需时间较任何其他曲线为短） Example sentencesExamples Here one can see a graph of the brachistochrone for the given endpoint. Further enhancements will guide the user through the development of brachistochrones for force fields which differ from gravitational force fields. An inverted cycloid is the brachistochrone, that is the curve between two points in a vertical plane, along which a bead needs the shortest time to travel. The brachistochrone problem was one of the earliest problems posed in the calculus of variations. The brachistochrone is a cycloid, but that cycloid is not the only curve satisfying the equation. Origin Late 18th century: from Greek brakhistos ‘shortest’ + khronos ‘time’.
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