Definition of cycloid in English:

cycloid

noun ˈsʌɪklɔɪdˈsaɪklɔɪd

Mathematics

A curve (resembling a series of arches) traced by a point on a circle being rolled along a straight line.
〔数〕旋轮线，摆线，圆滚线
Example sentencesExamples
- Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids.
- Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
- Viviani determined the tangent to the cycloid but he was not the first to succeed in this.
- To estimate the relative surface area of basal lamina and apertures, we used a line intercept technique with cycloids.
- He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.

Derivatives

cycloidal

adjective sʌɪˈklɔɪd(ə)lsaɪˈklɔɪdl

Mathematics

He also worked on cycloidal pendulums, the laws of resistance in a fluid and differential geometry.
Example sentencesExamples
- Huygens believed that a pendulum swinging in a large are would be more useful at sea and he invented the cycloidal pendulum with this in mind.
- The ships are fitted with two independent Voith Schneider 18GH cycloidal propellers, which provide propulsion and steering in cruising and minehunting modes, and two twin tube bow thrusters.
- Desargues proposed cycloidal teeth for gear wheels in the 1630's.
- Our arch is a cycloidal arch, inspired by the one in Kahn's Kimbell Museum.

Origin

Mid 17th century: from Greek kukloeidēs 'circular', from kuklos 'circle'.

Definition of cycloid in US English:

cycloid

nounˈsīkloidˈsaɪklɔɪd

Mathematics

A curve (resembling a series of arches) traced by a point on a circle being rolled along a straight line.
〔数〕旋轮线，摆线，圆滚线
Example sentencesExamples
- Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
- Viviani determined the tangent to the cycloid but he was not the first to succeed in this.
- To estimate the relative surface area of basal lamina and apertures, we used a line intercept technique with cycloids.
- He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
- Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids.

Origin

Mid 17th century: from Greek kukloeidēs ‘circular’, from kuklos ‘circle’.

词汇	cycloid
释义	Definition of cycloid in English: cycloid noun ˈsʌɪklɔɪdˈsaɪklɔɪd Mathematics A curve (resembling a series of arches) traced by a point on a circle being rolled along a straight line. 〔数〕旋轮线，摆线，圆滚线 Example sentencesExamples Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids. Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this. Viviani determined the tangent to the cycloid but he was not the first to succeed in this. To estimate the relative surface area of basal lamina and apertures, we used a line intercept technique with cycloids. He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola. Derivatives cycloidal adjective sʌɪˈklɔɪd(ə)lsaɪˈklɔɪdl Mathematics He also worked on cycloidal pendulums, the laws of resistance in a fluid and differential geometry. Example sentencesExamples Huygens believed that a pendulum swinging in a large are would be more useful at sea and he invented the cycloidal pendulum with this in mind. The ships are fitted with two independent Voith Schneider 18GH cycloidal propellers, which provide propulsion and steering in cruising and minehunting modes, and two twin tube bow thrusters. Desargues proposed cycloidal teeth for gear wheels in the 1630's. Our arch is a cycloidal arch, inspired by the one in Kahn's Kimbell Museum. Origin Mid 17th century: from Greek kukloeidēs 'circular', from kuklos 'circle'. Definition of cycloid in US English: cycloid nounˈsīkloidˈsaɪklɔɪd Mathematics A curve (resembling a series of arches) traced by a point on a circle being rolled along a straight line. 〔数〕旋轮线，摆线，圆滚线 Example sentencesExamples Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this. Viviani determined the tangent to the cycloid but he was not the first to succeed in this. To estimate the relative surface area of basal lamina and apertures, we used a line intercept technique with cycloids. He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola. Many famous mathematicians, including Descartes, have worked on a class of curves called cycloids. Origin Mid 17th century: from Greek kukloeidēs ‘circular’, from kuklos ‘circle’.
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