Webサイクロイド（英語: cycloid）とは、円がある規則にしたがって回転するときの円上の定点が描く軌跡として得られる平面曲線の総称である。 一般にサイクロイドといえば定直線上を回転するものを指すことが多い。 擺線（はいせん）とも呼ばれる。 サイクロイドと併せて外サイクロイドや内サイクロイドについても解説する。 サイクロイド[編集] サイク … WebFeb 22, 2015 · U+0027 is Unicode for apostrophe (') So, special characters are returned in Unicode but will show up properly when rendered on the page. Share Improve this …
19.1: Introduction to Cycloids - Physics LibreTexts
WebA cycloidal drive is a unique type of speed reducer which provides very high reduction ratio with compact but robust design. Compared to conventional gear drives, like spur and … WebMar 24, 2024 · The cycloid is the locus of a point on the rim of a circle of radius rolling along a straight line. It was studied and named by Galileo in 1599. Galileo attempted to find the … horoscope chinois 1992
Cycloid -- from Wolfram MathWorld
In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest … See more The cycloid has been called "The Helen of Geometers" as it caused frequent quarrels among 17th-century mathematicians. Historians of mathematics have proposed several candidates for the discoverer of the cycloid. … See more The arc length S of one arch is given by Another geometric way to calculate the length of the cycloid is to notice that when a wire describing an involute has been completely … See more Several curves are related to the cycloid. • Trochoid: generalization of a cycloid in which the point tracing the curve may be inside the rolling … See more The involute of the cycloid has exactly the same shape as the cycloid it originates from. This can be visualized as the path traced by the tip of … See more Using the above parameterization $${\textstyle x=r(t-\sin t),\ y=r(1-\cos t)}$$, the area under one arch, $${\displaystyle 0\leq t\leq 2\pi ,}$$ is given by: This is three times … See more If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the string is constrained to be tangent to one of its arches, and the pendulum's length L is equal to … See more The cycloidal arch was used by architect Louis Kahn in his design for the Kimbell Art Museum in Fort Worth, Texas. It was also used by Wallace K. Harrison in the design of the See more Web(sī′kloid′) adj. 1. Resembling a circle. 2. Zoology a. Relating to or being a kind of fish scale that is thin, rounded, and smooth-edged and often shows concentric growth rings. b. Having cycloid scales. 3. Psychology Afflicted with or relating to cyclothymia. n. Mathematics WebAug 7, 2024 · The famous brachystochrone problem problem is this: A smooth wire, which can be of any desired length, is to connect two points O and P; P is at a lower level than O, but is not vertically below O. The wire is to be bent to a shape, and cut to a length, such that the time taken for a bead to slide down the wire from O to P is least. horoscope chinois 1984