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Curve traced by a string as it is unwrapped from another curve
An involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An example of the involute of a curve
Involute
Gear with teeth whose profile is an involute of a circle
specialties such as clocks. In an involute gear, the profiles of the teeth are involutes of a circle. The involute of a circle is the spiraling curve
Involute_gear
errors and deflection under load. The base circle of an involute gear is the circle from which involute tooth profiles are derived. The base cylinder corresponds
List_of_gear_nomenclature
Curve traced by a point on a rolling circle
{\displaystyle \left({\frac {dx}{dh}}\right)^{2}={\frac {2r}{h}}-1.} The involute of the cycloid has exactly the same shape as the cycloid it originates
Cycloid
Rotating circular machine part with teeth that mesh with another toothed part
For involute gears, the teeth always exert force along the line of action, which, for involute gears, is a straight line; and thus, for involute gears
Gear
Toothed gear based on epicycloids and hypocycloids
and watches, rather than the involute gear form used for most other gears. Cycloidal gears have advantages over involute gears in such applications in
Cycloid_gear
Tumor originating from blood or lymph vessels
hemangioma: non-involuting, and rapidly involuting (beginning in the first year of life). A third variant is also recognised as partially involuting. Congenital
Vascular_tumor
New leaf or frond development in botany
other. This folding mechanism makes the emerging leaf look like a tube. In involute vernation both margins on opposing sides of the leaf are rolled up towards
Vernation
Extinct subclass of cephalopod molluscs
and oxycones: narrow and moderately involute. Discocone – Intermediate between oxycones and spherocones: involute and moderately broad. The modern Nautilus
Ammonoidea
Topics referred to by the same term
inverse Involution algebra, a *-algebra: a type of algebraic structure Involute, a construction in the differential geometry of curves Exponentiation (archaic
Involution
Simplest type of gear
with either an involute or cycloidal profile. When two gears mesh, it is possible that an involute portion of one contacts a non-involute portion of the
Spur_gear
Methods for transmitting power from a source to an application
is commonly referred to as the "540". All new types (2, 3, and 4) use involute splines, whereas Type 1 uses straight splines. Inch-denominated shafts
Power_take-off
Centers of curvature of a curve
evolute of M. Evolutes are closely connected to involutes: A curve is the evolute of any of its involutes. Apollonius (c. 200 BC) discussed evolutes in
Evolute
Recreational mathematics planar boundary and area problem
can not enter the circular area dictates that the grazing area forms an involute. If the goat were instead tethered to a post on the edge of a circular
Goat_grazing_problem
Ridges or teeth on a drive shaft that transfer torque to interlocking components
directions, radial and axial. Involute spline where the sides of the equally spaced grooves are involute, as with an involute gear, but not as tall. The
Spline_(mechanical)
Machine to increase pressure of gas by reducing its volume
or compress fluids such as liquids and gases. The vane geometry may be involute, archimedean spiral, or hybrid curves. They operate more smoothly, quietly
Compressor
to parallel cucullate Forming a hood, margins and tip curved downward involute Rolled upwards (towards the adaxial surface) plicate plicatus With parallel
Glossary_of_leaf_morphology
Extinct genus of molluscs
Carinonautilus is a genus of extinct, Middle Cretaceous nautilid with a very involute, compressed shell in which the whorl section is higher than wide, umbilicus
Carinonautilus
Process used to cut teeth into gears
the hob, and a drive motor. For a tooth profile which is theoretically involute, the fundamental rack is straight-sided, with sides inclined at the pressure
Hobbing
Type of linear actuator
arc of involute, as in most gears. On the rack, on the other hand, the matching working surfaces are flat. One may interpret them as involute tooth faces
Rack_and_pinion
Involucres occur in Marchantiophyta, Cycads, fungi, and many other groups. involute Rolled inward, for example when the margins of a leaf are rolled toward
Glossary_of_botanical_terms
Semigroup in abstract algebra
In mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a semigroup equipped with an involutive anti-automorphism
Semigroup_with_involution
Genus of perennial plants from South Africa
flat or involute panicle scabrid 1⁄2–1 mm scabrid/viscid, fimbrate mauve C. a. scabridum scabridum linear to falcate, ≥11⁄2 mm glabrous, involute, sometimes
Corymbium
Plane curve; an epicycloid with radii differing by 1/2
is another nephroid, the involute of the nephroid is also another nephroid. The original nephroid in the image is the involute of the smaller nephroid
Nephroid
Family of molluscs
inches). The Nautilidae, both extant and extinct, are characterized by involute or more or less convoluted shells that are generally smooth, with compressed
Nautilus
Chinese term for social competition
on the ways of living for youth and contemporary middle-class parents. Involuted King refers to someone who works extremely hard, by fair means or foul
Neijuan
Mechanical transmission using multiple gears
Agricola show gear trains with cylindrical teeth. The implementation of the involute tooth yielded a standard gear design that provides a constant speed ratio
Gear_train
Extinct order of molluscs
coiled discoidal shells that may be evolute with inner whorls exposed or involute with only the outer whorl showing. In a few later forms the shell became
Ceratitida
Genus of molluscs (fossil)
Ussuria is a genus of Lower Triassic ammonites with a smooth, involute discoidal shell with submonophyllic sutures, belonging to the ceratitid family Ussuriidae
Ussuria
Angle on a gear
pressure angle, and the axial pressure angle. List of gear nomenclature Involute gear Halsey, Frederick Arthur (1913). Handbook for Machine Designers and
Pressure_angle
Genus of flowering plants in the daisy family Asteraceae
the way in which they were folded along their longitudinal axis: flat, involute (curled inwards) or revolute (curling backwards). If the end of the ray
Dahlia
Extinct genus of molluscs
161 to 5 million years ago). They are characterized by a highly rounded involute shell with slightly sinuous suture patterns. Eutrephoceras typically possess
Eutrephoceras
Tool bits used in milling machines
Involute gear cutter – number 4: · 10 diametral pitch cutter · Cuts gears from 26 through to 34 teeth · 14.5 degree pressure angle
Milling_cutter
Vascular tumor derived from blood vessel cell types
birth. They tend to grow quickly for up to a year. Most then shrink or involute without further problem, however some can ulcerate and form scabs which
Hemangioma
Symptom, also called "bent spine syndrome"
fibrosis (green) and fatty infiltration. Also observable is irregular distribution of involuted muscle fibers. (Trichrome, original magnification ×9100)
Camptocormia
Medical condition
population, and is an embryologic remnant that results from a failure to involute. In persistent left superior vena cava, the left brachiocephalic vein does
Persistent left superior vena cava
Persistent_left_superior_vena_cava
Curve that winds around a central point
consists of a sequence of circle arcs. The involute of a circle looks like an Archimedean, but is not: see Involute#Examples. The following considerations
Spiral
Mathematical curves generated by rolling other curves together
epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes. On a basic level, it is the path traced by a curve while rolling on another
Roulette_(curve)
Botanical term for a cluster of flowers
hypanthodium, which bears numerous flowers on the inside of a convex or involuted compound receptacle. The genus Euphorbia has cyathia (sing. cyathium)
Inflorescence
Superfamily of nautiloids
family in this group. Species in the Nautilaceae are generally smooth and involute with straight to strongly sinuous sutures and a small siphuncle. Some groups
Nautilaceae
Extinct genus of molluscs
Formations, La Guajira). Its shell is moderately compressed and rather involute (outer whorls covering most of the inner), with fine sinuous ribs that
Zurcherella
Eccentric gear reduction mechanism
backlash and high torque capacity while being compact in size, unlike involute gearboxes. They are useful in situations where low speed with high torque
Cycloidal_drive
Species of grass
leaf-blades are erect or drooping; flat, or conduplicate (folded lengthwise) or involute (spiral); and from 10 to 45 cm long by 3–6 mm wide. The Latin specific
Cenchrus_alopecuroides
Extinct family of molluscs
related to octopus and squid. Pseudonautilids are characterized by an involute, generally compressed, nautiliconic shell; highly sinuous "goniatitic"
Pseudonautilidae
Genus of ammonites
Cleoniceras is a rather involute, high-whorled hoplitid from the Lower to basal Middle Albian of Europe, Madagascar, and the Transcaspian region. The shell
Cleoniceras
Genus of molluscs (fossil)
largest species measuring around 2 m (6.6 ft). It possesses a moderately involute shell with flat or slightly rounded sides. Distinct primary and secondary
Parapuzosia
Device which converts input forces and motion to output forces and motion
is a higher pair called a cam joint. Similarly, the contact between the involute curves that form the meshing teeth of two gears are cam joints. A kinematic
Mechanism_(engineering)
1966 studio album by Bob Dylan
Esquire, Robert Christgau said Dylan had "presented his work at its most involuted, neurotic, and pop—and exhilarating—in Blonde on Blonde." Blonde on Blonde
Blonde_on_Blonde
Extinct species of ammonite
the largest species of ammonite in North America. It had a moderately involute shell with flat sides. The inner whorls are slightly oval-shaped with prominent
Parapuzosia_bradyi
Cone- or frustum-shaped gears for shafts whose axes intersect
with a 1:1 ratio. The cylindrical gear tooth profile corresponds to an involute (i.e. a triangle wave projected on the circumference of a circle), whereas
Bevel_gear
Shape with same width in all directions
circular arcs centered at crossings of an arrangement of lines, as the involutes of certain curves, or by intersecting circles centered on a partial curve
Curve_of_constant_width
Extinct genus of nautiloids
Clydonautilacean family, Liroceratidae. It can be recognized by its smooth, involute shell with a deep small umbilicus with rounded shoulders and steep convex
Peripetoceras
Extinct family of molluscs
Cretaceous. Members of the Phylloceratidae are characterized by smooth, involute shells with very thin walls. Many are covered with fine growth lines but
Phylloceratidae
Involution (shrinking) of the thymus after the neonatal period
reptiles, although the thymi of a few species of sharks are known not to involute. This process is genetically regulated, with the nucleic material responsible
Thymic_involution
Industrial action in which employees do no more than the minimum required
2022. Retrieved 24 September 2022. Liu, Yi-Ling (14 May 2021). "China's "Involuted" Generation". The New Yorker. Retrieved 28 March 2022. Wang, Qianni; Ge
Work-to-rule
Oxycerites, including O (Alcidellus) is generally smooth, essentially involute with a small umbilicus, highly compressed with flanks converging on a narrow
Alcidellus
1845 book by Thomas de Quincey
novel. Kimberly A. Garcia (2017). Involute Analysis: Virtual Discourse, Memory Systems and Archive in the Involutes of Thomas De Quincey. academicworks
Suspiria_de_Profundis
Genus of single-celled organisms
genus of foraminifera with an agglutinated, planispirally coiled, semi-involute shell, known from the Egyptian Sinai. It lived during the early part of
Ismailia_(foraminifera)
Extinct genus of nautiloids
Named by Alpheus Hyatt in 1883, the shell of Grypoceras is essentially involute with a subtriangular cross section, widest across the umbilical shoulders
Grypoceras
Localized defect in blood vessels or lymph vessels
subgroups: the rapidly involuting congenital hemangiomas (RICHs) and the non-involuting congenital hemangiomas(NICHs). The rapidly involuting congenital hemangioma
Vascular_anomaly
Organ found in mammalian skin
cycles of various phases: anagen is the growth phase; catagen is the involuting or regressing phase; and telogen, the resting or quiescent phase (names
Hair_follicle
Genus of molluscs (fossil)
family to which Boreotrachyceras belongs, Trachyceratidae, has more or less involute, highly ornamented shells and ceratitic to ammonitic sutures. Sepkoski
Boreotrachyceras
Extant subclass of cephalopods
ontogeny of the animal. Modern nautiluses have deeply coiled shells which are involute, meaning that the larger and more recent whorls overlap and obscure older
Nautiloid
Extinct genus of molluscs
(Compactoceras) is subglobular with involute whorls in the early stage, later becoming compressed in form, and C. (Puncticeras) is involute in all stages. Eucheiloceras
Cheiloceras
Benign skin irregularity which appears near the time of birth
infantile hemangioma, colloquially called a strawberry mark, is a benign self-involuting tumor (swelling or growth) of endothelial cells, the cells that line blood
Birthmark
Short story by Jorge Luis Borges
perceived nationalist heroes. Chesterton, who like Borges enjoyed creating involuted but symmetrical mysteries. In 1970 the story was adapted into an Italian
Theme of the Traitor and the Hero
Theme_of_the_Traitor_and_the_Hero
Drivetrain transmitting propulsion power
introduction and general influence factors". ISO. "ANSI/AGMA 2001 - Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth".
Transmission (mechanical device)
Transmission_(mechanical_device)
Genus of molluscs
Thuringionautilus is a genus of large, moderately involute, nautiloids from the nautilid family Tainoceratidae. The whorl section is subquadrate, flanks
Thuringionautilus
Genus of flowering plants
places, sympatric with) the Cryptocoryne, but is distinguishable for its involute vernation (leaf growth); comparatively, Cryptocoryne tends to exhibit convolute
Lagenandra
Process of changing from working by hand or with animals to work with machinery
teeth ca. 1650. In the 18th century involute gears, another mathematical derived design, came into use. Involute gears are better for meshing gears of
Mechanization
Extinct ammonoid cephalopod genus
Barremian stages of the Early Cretaceous. Its shell is moderately to very involute, with the outer whorl strongly embracing the inner whorls, and variably
Barremites
Catacaustic and Diacaustic Cissoid Conchoid Evolute Glissette Inverse curve Involute Isoptic including Orthoptic Negative pedal curve Fish curve Orthotomic
List_of_curves
Suborder of cephalopods
stock of the suborder, includes the living Nautilus. The Nautilidae are involute or slightly evolute and generally smooth with straight to sinuous sutures
Nautilina
Gear in a shape other than a circle
Zarebski I., Salacinski T.: Designing of non-circular gears "Laczik- Involute Profile of Non-Circular Gears" (PDF). Archived from the original (PDF)
Non-circular_gear
Extinct genus of ammonites
the Ammonoidea family Gaudryceratidae. Anagaudryceras has a moderately involute shell with a deep umbilicus and strongly ribbed outer whorl. Ribs are thick
Anagaudryceras
Genus of molluscs (fossil)
involute, very compressed, with a sharp umbilical angle and sharp fastigate venter. Spath (1928)speculated that Petitclercia is perhaps "an involute development
Petitclercia
Extinct family of ammonites
family of Cretaceous ammonites with stoutly ribbed, compressed, generally involute shells lacking or with only minor tubercles included in the Deshayestoidea
Parahoplitidae
Genus of molluscs (fossil)
Jurassic of New Zealand and Mexico, related to Involuticeras. Its shell is involute, whorls inflated with a deep umbilicus. The outer half including the venter
Epicephalites
Device to increase vehicle traction
usually straight, they may have more complex shapes, including spikes and involute curves, depending on the type of terrain and the performance requirements
Grouser
Extinct genus of molluscs
wavy keel that leans alternatingly to one side then the other. Shells are involute, compressed, with a narrow venter and distinct inner and outer ribs, both
Cymaceras
Genus of molluscs (fossil)
Fissilobiceras is similar to Shirbuirnia, except primarily for being more involute and having complex sutures. More of the inner whorls show in Shirbuirnia
Fissilobiceras
Genus of molluscs (fossil)
family, the Dimorphoceratidae, the shell of Asturoceras is completely involute, with a closed umbilicus, and the ventral lobe becomes extremely wide during
Asturoceras
Genus of molluscs (fossil)
now Europe, north Africa, and Iran. Graphoceras produced a compressed, involute shell with a raised umbilical edge and sinuous ribbing. Sepkoski, Jack
Graphoceras
Genus of molluscs (fossil)
North America and parts of Europe. The shell of Gastrohoplites is variably involute to evolute. Sides and venter are flat, shoulders sharp. Ribs more or less
Gastrohoplites
Suborder of molluscs (fossil)
two suborders included in the Goniatitida, characterized by generally involute, subdiscoidal shells and by sutures in which the ventral ones are undivided
Tornoceratina
Blood vessel
superior sagittal sinus; it is normally present during fetal development and involutes after birth, but its presence after birth is associated with a vein of
Great_cerebral_vein
Genus of molluscs (fossil)
during the early Mississippian (lower Carboniferous). Karagandoceras has an involute, lenticular shell, with an acute ventral margin. The ventral lobe of the
Karagandoceras
Morphogenetic process
gastrulation. “…the IMZ, true to its name, involutes or rolls over the blastoporal lip and turns inside out. As it involutes, it converges along the mediolateral
Convergent_extension
Genus of molluscs (fossil)
genus of Lower Triassic ammonites characterized by a somewhat strongly involute and greatly compressed shell with a sharp, oxyconic, venter. Beatites was
Beatites
Extinct suborder of ammonites
forms, including evolute shells where all whorls are exposed, and strongly involute shells with only the outer whorl visible. Shells may be heavily ribbed
Ammonitina
Powered mechanical device
Agricola show gear trains with cylindrical teeth. The implementation of the involute tooth yielded a standard gear design that provides a constant speed ratio
Machine
Genus of molluscs (fossil)
upper Bajocian genus of ammonite (order Ammonitida) with a small smooth involute shell having a single keel along the venter and extremely simple sutures
Magharina
Genus of molluscs (fossil)
Austroceratites is placed, is a mid Triassic family that has left evolute to involute, stoutly ribbed, discoidal shells with ceratitic sutures. Austroceratites
Austroceratites
actual efficiency are affected. In addition as duplex teeth are executed as involute gear they are insensitive in regards to modifications of the center distance
Duplex_worm
Genus of molluscs (fossil)
ceratitids included in the family Thisbitidae, characterized by an essentially involute shell with a compressed whorl section, nearly straight sides and arched
Glyphidites
Set of alternative guitar tunings
the left-handed involute of the standard tuning E–A–D–G–B–E is the "lefty" tuning E–B–G–D–A–E. Similarly, the "left-handed" involute of the "lefty" tuning
Regular_tuning
Extinct genus of molluscs
Haploceratoidea. The shell is oxyconic, with a sharp rim but no keel, and involute, with the inner whorls hidden. The umbilicus is very small. Sides have
Hebetoxyites
Extinct genus of molluscs
Cephalopoda) from Siberia. The shell is a rapidly expanding, moderately involute nautilicone; smooth in the adult stage but laterally ribbed in the juvenile
Phaedrysmocheilus
Species of tree
veins prominent. The leaves come out of the bud conduplicate with slightly involute margins, pale yellow green, downy; when full grown are thin, bright green
Celtis_occidentalis
Dutch mathematician and physicist (1629–1695)
principle Huygens's lemniscate Huygens–Steiner theorem Huygens's tritone Involute Injection locking Repetition pitch Magic lantern Pendulum clock Problem
Christiaan_Huygens
INVOLUTE
INVOLUTE
INVOLUTE
INVOLUTE
Boy/Male
Tamil
One who does his duty
Girl/Female
Hindu
Thirst
Girl/Female
Tamil
Earth
Girl/Female
Indian
Pious
Boy/Male
Muslim
Gratitude
Girl/Female
Hindu
Smile
Boy/Male
Gaelic
Farmer.
Girl/Female
Greek
Flower.
Girl/Female
Hebrew
Crown.
Boy/Male
Hindu
INVOLUTE
INVOLUTE
INVOLUTE
INVOLUTE
INVOLUTE
a.
Turned inward at the margin, as the exterior lip of the Cyprea.
a.
Rolled inward spirally.
n.
A curve from which another curve, called the involute or evolvent, is described by the end of a thread gradually wound upon the former, or unwound from it. See Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent.
n.
The formation of an involute by unwrapping a thread from a curve as an evolute.
a.
Same as Involute.
n.
The involute of a curve. See Involute, and Evolute.
a.
Alt. of Involuted
n.
A curve traced by the end of a string wound upon another curve, or unwound from it; -- called also evolvent. See Evolute.
a.
Rolled inward from the edges; -- said of leaves in vernation, or of the petals of flowers in aestivation.