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Curve traced by a point on a rolling circle
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
Cycloid
Topics referred to by the same term
cycloid is a curve traced by a rolling circle. "Cycloid" can also refer to: Cyclida (formerly Cycloidea), an order of prehistoric crustaceans Cycloid
Cycloid_(disambiguation)
Toothed gear based on epicycloids and hypocycloids
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
Cycloid_gear
Abnormal condition of the mind
Myxedematous psychosis Stimulant psychosis Tardive psychosis Shared psychosis Cycloid psychosis is typically an acute, self-limiting form of psychosis with psychotic
Psychosis
Japanese media franchise
Street Fighter is a Japanese media franchise centered on a series of fighting games developed and published by Capcom. The first game in the series was
Street_Fighter
Fastest curve descent without friction
are cycloids. But the portion of the cycloid used for each varies. Specifically, the brachistochrone can use up to a complete rotation of the cycloid (at
Brachistochrone_curve
Hard skeletal covering of fish
ancestors to all jawed fishes today. Most bony fishes are covered with the cycloid scales of salmon and carp, the ctenoid scales of perch, or the ganoid scales
Fish_scale
Curve for which the time to roll to the end is equal for all starting points
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, divided by the square
Tautochrone_curve
French polymath (1623–1662)
treatise on the arithmetical triangle. Between 1658 and 1659, he wrote on the cycloid and its use in calculating the volume of solids. Following several years
Blaise_Pascal
Curve traced by a string as it is unwrapped from another curve
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
Involute
Eccentric gear reduction mechanism
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
Cycloidal_drive
Italian Jesuit mathematician (1648–1737)
"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
Tommaso_Ceva
Centers of curvature of a curve
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
Evolute
Visual mathematical proofs
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
Visual_calculus
1673 book on pendular motion by Christiaan Huygens
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
Horologium_Oscillatorium
Curve traced by a circle rolling along a line
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
Trochoid
Psychosis beginning suddenly in the first two weeks after childbirth
psychiatry, manic and cycloid syndromes are regarded as distinct, but, studied long-term among childbearing women, the bipolar and cycloid variants are intermingled
Postpartum_psychosis
Geometrical concept relating area and volume
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
Cavalieri's_principle
Gear with teeth whose profile is an involute of a circle
gear profile is the most commonly used system for gearing today, with cycloid gearing still used for some specialties such as clocks. In an involute
Involute_gear
Mathematical curves generated by rolling other curves together
geometry of curves, a roulette is a kind of kinematic curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and
Roulette_(curve)
Circle of immediate corresponding curvature of a curve at a point
{\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
Osculating_circle
Curve traced by a point on a circle rolling within another circle
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
Hypocycloid
Species of fish
terminal mouth, as well as small eyes, and the body is covered in tough cycloid scales. The pinktail triggerfish is found throughout the Indian and Pacific
Pinktail_triggerfish
2011 video game
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
Duke_Nukem_Forever
Kind of space tether
rotates like a wheel". The tip of the tether moves in approximately a cycloid, in which it is momentarily stationary with respect to the ground. In this
Momentum_exchange_tether
Pendulum whose period is precisely two seconds
following a cycloid motion instead of a simple circle would be more accurate. After developing some clocks to correct the motion with "cycloid cheeks", Huygens
Seconds_pendulum
Extinct genus of fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Richmondichthys
Study of the form or morphology of fishes
scales covering the outer body. Singular bowfin cycloid scale Cycloid scales covering rohu Bowfin cycloid scales There are four principal types of fish
Fish_anatomy
Extinct order of crustaceans
Cyclida (formerly Cycloidea, and so sometimes known as cycloids) is an extinct order of crab-like fossil arthropods that lived from the Carboniferous to
Cyclida
Family of fishes
and sprats. Many members of the family have a body protected with shiny cycloid (very smooth and uniform) scales, a single dorsal fin, and a fusiform body
Clupeidae
Curve traced by a vertex of a polygon as it rolls
as the number of sides increases to infinity, the cyclogon becomes a cycloid. The cyclogon has an interesting property regarding its area. Let A denote
Cyclogon
Extinct genus of fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Leedsichthys
Species of fish
ventral fins, one long, continuous dorsal fin, long pectoral fins, and tiny, cycloid scales. The tail fin is nearly as long as the dorsal fin and deeply forked
American_butterfish
Sharp mobile phone released in 2009
on June 24, 2009, It belongs to the docomo PRO series. The SH-07A is a cycloid-style AQUOS Phone and the successor to the SH-01A. Positioned as an AV
SH-07A
Extinct family of ray-finned fishes
among the first fish to possess certain teleost synapomorphies, such as cycloid scales and fully ossified vertebrae. Arratia, G.; Hikuroa, D. C. H. (2010)
Leptolepidae
Species of fish
edge, the largest being twice the size of the second largest. They have cycloid scales, a feature of Teleostei fishes, and are derived from ganoid scales
Mediterranean_rainbow_wrasse
Mathematical term for squaring a plane figure
With its help, Galileo Galilei and Gilles de Roberval found the area of a cycloid arch, Grégoire de Saint-Vincent investigated the area under a hyperbola
Quadrature_(mathematics)
Distance along a curve
with closed-form solutions for arc length include the catenary, circle, cycloid, logarithmic spiral, parabola, semicubical parabola and straight line.
Arc_length
1996 video game
Bloody Hokuto, and two cyborgs named Cycloid-β and Cycloid-γ. Cycloid-β (サイクロイド-β, Saikuroido Bēta) and Cycloid-γ (サイクロイド-γ, Saikuroido Ganma), both appear
Street_Fighter_EX
Species of fish
gill arches that contain one or two rows of distinctive teeth. It has cycloid scales, but a scaleless head. There are 19 caudal rays, and the dorsal
Blacknose_shiner
Species of freshwater fish
of the body are ctenoid, whereas the scales of the top of the head are cycloid. Kissing gourami reach a maximum of 30 cm (12 in) in total length. There
Kissing_gourami
Order of ray-finned fishes
are usually ctenoid (rough to the touch), although sometimes they are cycloid (smooth to the touch) or otherwise modified. "Perciform - Form and function"
Perciformes
Proprietary marine propulsion system
rotors for drone applications. Azipod – Electric drive azimuth thruster Cycloid – Curve traced by a point on a rolling circle Cyclorotor – Perpendicular-axis
Voith_Schneider_Propeller
Branch of mathematics
fluid, the oblateness of the earth, the motion of a weight sliding on a cycloid, and many other problems discussed in his Principia Mathematica (1687)
Calculus
Species of fish
and the palatopterygoid arch and along the jaws. The goldeye fish has cycloid scales that lack spines. They also have a sensory system known as the lateral
Goldeye
Extinct genus of fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Protosphyraena
Palestinian-American artist (born 1936)
artist books, drawings, and limited edition artist prints. Her Helixes and Cycloid series, as well as her Diagonal Flight series, are examples of her perceptual
Samia_Halaby
Species of fish
out as well, ringed with golden yellow. The body is covered in minute cycloid scales and its silvery, iridescent guanine coating is easily abraded. They
Lampris_guttatus
Ancient paradox in geometry
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
Aristotle's_wheel_paradox
Extinct genus of tetrapodomorphs from the Devonian
premaxilla forming fangs upwards of 5 cm (2 in). Its body was covered by cycloid scales. It had large sensory canals to aid in detection of possible prey
Hyneria
Species of fish
of moderate depth and laterally compressed, and has a covering of small cycloid scales. The largest fish have been measured at 190 cm (75 in) in total
Greater_amberjack
Genus of fishes
out as well, ringed with golden yellow. The body is covered in minute cycloid scales and its silvery, iridescent guanine coating is easily abraded. The
Opah
Genus of fishes
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
Exocoetus
Piano manufacturer
York; Herman is best known for patenting the firm's unusually shaped "Cycloid" square piano, and with his brother Ferdinand, and son George, he headed
William_Lindeman
Brachistochrone Butterfly curve (transcendental) Catenary Clélies Cochleoid Cycloid Horopter Isochrone Pursuit curve Rhumb line Syntractrix Tractrix Trochoid
Gallery_of_curves
Extinct genus of ray-finned fishes
completely made of bone. Another modern development in Leptolepis were its cycloid scales, which lacked the covering of ganoine present in more basal teleosts
Leptolepis
Subfamily of fishes
they lack barbels on the mouth and chin and they are covered in small cycloid scales arranged in horizontal or diagonal rows. Some species have a modified
Ophidiinae
Extinct family of ray-finned fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Aspidorhynchidae
Species of fish
inserted posterior to the gill slits and above the pectoral fins. It has cycloid scales embedded in the skin. About 40–50 scales occur between the operculum
West_African_lungfish
Species of fish
soft-rayed portion. The scales on the body of the butterfish are small, cycloid, and very deciduous (meaning that they are shed off easily). This species
Pacific_rudderfish
Art museum in Texas, US
using a cycloid curve for the gallery vaults would reduce the ceiling height and provide other benefits as well. The relatively flat cycloid curve would
Kimbell_Art_Museum
Species of fish
near the anus, a lateral line system (in most species), and smooth, round cycloid scales. Their jaws lack teeth, but they have one to three rows of pharyngeal
Silverjaw_minnow
largest cyclid was Opolanka decorosa, the Late Triassic Halicyne-like cycloid which reached over 6 cm (2.4 in) across the carapace. Tesnusocaris had
Largest_prehistoric_animals
Species of fish
than 15 gill rakers and in being the only species in its family that has cycloid scales. Its body is oblong and compressed with a large mouth and eyes.
Mud_sunfish
Animals that comply with Jewish regulations for consumption
placoid, cosmoid, ganoid, ctenoid and cycloid. The majority of kosher fish exhibit the latter two forms, ctenoid or cycloid, but the bowfin (Amia calva) is
Kosher_animals
French lineographer and mathematician (1584–1640)
mathematician and published works on geostatics. He is credited with naming the cycloid. He lived and worked in Paris as an artist until his death in 1640. D Diderot
Jean_de_Beaugrand
Extinct genus of fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Plethodus
Extinct genus of ray-finned fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Ascalabos
Subfamily of fishes
absent or incomplete, by having no scales or if scales are present they are cycloid. One species, Gymnapogon urospilotus, is notable for its larvae being rather
Pseudaminae
Brachistochrone Butterfly curve (transcendental) Catenary Clélies Cochleoid Cycloid Horopter Isochrone Isochrone of Huygens (Tautochrone) Isochrone of Leibniz[1]
List_of_curves
Species of fish
scales are ctenoid on the nape and the flanks while the head scales are cycloid. The anal and pelvic fins are black with the anterior margins being white
Brown_meagre
Extinct order of ray-finned fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Ichthyodectiformes
Wheel designed for railway tracks
rubber-tyred trams have guide wheels.[citation needed] Adhesive weight Cycloid and trochoid Wheelset (rail transport)#Conical wheel-tread Lewis, R.; Olofsson
Train_wheel
Phenomenon observed in physics
in the presence of an electrical or gravitational field) resulting in a cycloid. The angular frequency (ω = 2πf ) of this cyclotron motion for a given
Electron_cyclotron_resonance
Small rigid plate that grows out of an animal's skin
Amblypterus striatus Placoid scales on a lemon shark (Negaprion brevirostris) Cycloid scales on a common roach (Rutilus rutilus) True cosmoid scales can only
Scale_(zoology)
Diverse clade of vertebrate animals
teleost scales. Teleost scales are then divided into two subgroups which are cycloid scales and ctenoid scales. All of these scales have a base of bone that
Osteichthyes
Applying convex curvature to a surface in architecture
the Greek meaning "to strain". It also has been argued that a "stunted cycloid" column that bulges in the middle is stronger structurally than is a column
Entasis
Family of fishes
pair of nostrils. The body is covered with very small, difficult to see, cycloid scales which are covered in mucus. the sensory canals on the head have
Pholidae
Plane curve formed by rolling a circle on the outside of another
epitrochoid. The combustion chamber of the Wankel engine is an epitrochoid. Cycloid Cyclogon Epicycloid Hypocycloid Hypotrochoid Spirograph List of periodic
Epitrochoid
one horn and sharp teeth. He was found in the center of Bakugan Valley. Cycloid is tough and eager to fight. His abilities include 'Left Giganti' and 'Right
List_of_Bakugan
Extinct genus of ray-finned fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Protobrama
Extinct genus of fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Pachycormus_(fish)
Species of lizard
and another along the posterior side of the hind limb. Ventral scales cycloid, imbricate. Male with an uninterrupted series of 34–36 femoral pores. Tail
Flat-tailed_house_gecko
Family of fishes
exceed 20 per cent of the head's length in diameter. The large scales are cycloid and imbricate; they are arranged in a longitudinal series of 12–40. Usually
Ridgehead
Anglo-Irish peer and mathematician (1620–1684)
concerned in particular the calculations of the lengths of the parabola and cycloid, and the quadrature of the hyperbola, which requires approximation of the
William Brouncker, 2nd Viscount Brouncker
William_Brouncker,_2nd_Viscount_Brouncker
Species of fish
smallest extant lungfish. It has fused dorsal-caudal-anal fins and small cycloid scales. This lungfish is uniform blue or slate grey in colour. It has small
Gilled_lungfish
Proposed momentum exchange tether
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
Skyhook_(structure)
Genus of fishes
fins. There is a single pair of nostrils. The scales, if present, are cycloid, tiny and do not overlap. There are well developed movement sensitive sensory
Anarhichas
Species of ray-finned fish
scales are usually within ranges of 95 to 120. All scales are silvery and cycloid, along with the overall color of the fish; however, yellow pigment can
Pacific_ladyfish
Genus of fishes
belly with the anus sitting between these membranes. The tiny scales are cycloid and may be absent from the head region. If present on the head they are
Rabbitfish
Perpendicular-axis marine propulsion system
improved performance over a traditional airship configuration in a 2009 test. Cycloid – Curve traced by a point on a rolling circle Cyclogyro – Aircraft configuration
Cyclorotor
Extinct genus of ray-finned fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Belonostomus
Scales covering the skin of snakes
shields or plates. Snake scales occur in variety of shapes. They may be cycloid as in family Typhlopidae, long and pointed with pointed tips, as in the
Snake_scale
Quartic plane curve
plane curve trisectrixes that includes the Conchoid of Nicomedes, the Cycloid of Ceva, Quadratrix of Hippias, Trisectrix of Maclaurin, and Tschirnhausen
Limaçon_trisectrix
Genus of ray-finned fishes
a slit on the right of the throat; the body is covered in small round cycloid scales. Their anguilliform swimming mode helps them swim effectively in
Gymnarchus
Family of ray-finned fishes
their heads, They have between one and five lateral lines and may have cycloid or ctenoid scales. There is a single dorsal fin which is notched and contains
Hexagrammidae
Extinct teleost fish genus
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Dibango_volans
Infamous mathematician (1600–1664)
is chiefly known for an incorrect solution of Pascal's problems on the cycloid, which he gave in 1660, but he has a better claim to distinction in having
Antoine_de_Laloubère
Estonian-American architect (1901–1974)
Kimbell Art Museum, Fort Worth, Texas (1967–1972), features repeated bays of cycloid-shaped barrel vaults with light slits along the apex, which bathe the artwork
Louis_Kahn
Extinct order of ray-finned fishes
Steurbautichthys †Catervariolidae Catervariolus Kisanganichthys Songanella Cycloid clade †Antofagastaichthys †Araripichthys †Cavenderichthys †Koonwarria?
Pachycormiformes
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