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...

ancestors to all jawed fishes today. Most bony fishes are covered with the cycloid scales of salmon and carp, or the ctenoid scales of perch, or the ganoid...

cycloid is a curve traced by a rolling circle. "Cycloid" can also refer to: Cyclida (formerly Cycloidea), an order of prehistoric crustaceans Cycloid...

is the same shape as the tautochrone curve; both are cycloids. However, the portion of the cycloid used for each of the two varies. More specifically,...

independent of the number of teeth. A Roots blower is one extreme, a form of cycloid gear where the ratio of the pitch diameter to the generating circle diameter...

point is on the circle, the trochoid is called common (also known as a cycloid); if the point is inside the circle, the trochoid is curtate; and if the...

The main titles of the Street Fighter fighting game series have introduced a varied cast of 87 characters from the main series, and 34 from several spin-offs...

because the tautochrone curve is a cycloid, and the cycloid has the unique property that its evolute is also a cycloid. The theory of evolutes, in fact...

Myxedematous psychosis Stimulant psychosis Tardive psychosis Shared psychosis Cycloid psychosis is typically an acute, self-limiting form of psychosis with psychotic...

curve. The curve is a cycloid, and the time is equal to π times the square root of the radius (of the circle which generates the cycloid) over the acceleration...

demonstrationes geometricae (1673), where he showed that the involute of a cycloid is still a cycloid, thus providing a method for constructing the cycloidal pendulum...

area of the cycloid is 3πr2: it is 3 times the area of the generating circle. The tangent cluster can be seen to be a circle because the cycloid is generated...

arcs of cycloids. By Cavalieri's principle, the circle therefore has the same area as that region. Consider the rectangle bounding a single cycloid arch...

treatise on the arithmetical triangle. Between 1658 and 1659, he wrote on the cycloid and its use in calculating the volume of solids. Pascal was born in Clermont-Ferrand...

{\textstyle {\frac {d^{2}\gamma }{ds^{2}}}} with respect to the arc length s. A cycloid with radius r can be parametrized as follows: γ ( t ) = [ r ( t − sin ⁡...

to 119:1 and double stage up to 7,569:1. The cycloid disc is usually designed with a shortened cycloid in order to minimize the eccentricity of the disc...

keep perfect time can be achieved if the path of the pendulum bob is a cycloid. However, it was unclear what form to give the metal cheeks regulating...

a genus of flying fishes. It is a bony fish. The body is covered with cycloid scales. The mouth is wide, and the jaws bear teeth. It is a marine fish...

"Cycloidum anomalarum". The principle involved is that of doubling angles. The cycloid of Ceva has the polar equation r = 1 + 2 cos ⁡ ( 2 θ ) {\displaystyle r=1+2\cos(2\theta...

the curve and less danger of landing on the flat ("bottoming out"). A cycloid profile will theoretically give the fastest half-pipe if friction is neglected...

differential geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and...

Ps travel in a cycloid path as they roll together one revolution. While each travels 2πR horizontally from start to end, Ps's cycloid path is shorter...

the larger circle is increased, the hypocycloid becomes more like the cycloid created by rolling a circle on a line. The 2-cusped hypocycloid called...

Nintendo of America; and the NES Max, a controller with grip handles and a "cycloid" sliding-disc D-pad in place of the traditional one. Both controllers have...

†Catervariolidae Catervariolus Kisanganichthys Songanella Teleosts with cycloid scales see below↓ Otolith taxa †Archengraulis †Bicavolithus †Doggerichthys...

Günter Schweigert (2007). "Juracyclus posidoniae n. gen. and sp., the first cycloid arthropod from the Jurassic" (PDF). Journal of Paleontology. 81 (1): 213–215...

and the tether rotation rate are synchronized, the tether tip moves in a cycloid curve. At the lowest point it is momentarily stationary with respect to...

work with the Cycloid Emperor. The president was actually intending to have the aliens kill Duke so he could control the Earth with Cycloid Emperor. He...

with closed-form solutions for arc length include the catenary, circle, cycloid, logarithmic spiral, parabola, semicubical parabola and straight line....

Animated gif with turtle in MSWLogo (Cycloid)...