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Curve formed by a hanging chain
In physics and geometry, a catenary (UK: /kəˈtiːnəri/ kə-TEE-nər-ee, US: /ˈkætənɛri/ KAT-ən-err-ee) is the curve that an idealized hanging chain or cable
Catenary
Cable that provides power to electric railways, trams, and trolleybuses
for the technology is overhead line. It is known variously as overhead catenary, overhead contact line (OCL), overhead contact system (OCS), overhead equipment
Overhead_line
Topics referred to by the same term
Look up catenary in Wiktionary, the free dictionary. Catenary is a mathematical curve. Catenary may also refer to: Catenary arch, an arch that follows
Catenary_(disambiguation)
Architectural pointed arch that follows an inverted catenary curve
A catenary arch is a type of architectural arch that follows an inverted catenary curve. The catenary curve has been employed in buildings since ancient
Catenary_arch
In mathematics, a commutative ring R is catenary if for any pair of prime ideals p, q, any two strictly increasing chains p = p0 ⊂ p1 ⊂ ... ⊂ pn = q of
Catenary_ring
Type of catenary curve
weighted catenary (also flattened catenary, was defined by William Rankine as transformed catenary and thus sometimes called Rankine curve) is a catenary curve
Weighted_catenary
Railroad vehicle used to maintain and inspect overhead line
A catenary maintenance vehicle (also known as a tower wagon or tower car) is a railroad maintenance of way vehicle that is used to maintain and inspect
Catenary_maintenance_vehicle
A steel catenary riser (SCR) is a common method of connecting a subsea pipeline to a deepwater floating or fixed oil production platform. SCRs are used
Steel_catenary_riser
Type of arch shape
the best shape is a catenary. A catenary, in blue, graphed against a parabola, in red Parabola (red) graphed against a catenary (blue), view to simulate
Parabolic_arch
Type of bridge
A stressed ribbon bridge (also stress-ribbon bridge or catenary bridge) is a tension structure similar in many ways to a simple suspension bridge. The
Stressed_ribbon_bridge
Offshore mooring buoy with connections for loading or unloading tankers
navigation aids or other equipment. A commonly used configuration is the catenary anchor leg mooring (CALM), which can be capable of handling very large
Single_buoy_mooring
Noetherian ring in algebra
and only if it satisfies Nagata's altitude formula. (See also: #formally catenary ring below.) Precisely, a quasi-unmixed ring is a ring in which the unmixed
Quasi-unmixed_ring
International Congress of Mathematicians in 1966 (Moscow) The Kolchin Catenary Conjecture is a fundamental open problem in differential algebra related
Kolchin's_problems
First single-phase AC railroad electrification
railroads using high-voltage, alternating current, single-phase overhead catenary. It electrified its mainline between Stamford, Connecticut, and Woodlawn
Electrification of the New York, New Haven and Hartford Railroad
Electrification_of_the_New_York,_New_Haven_and_Hartford_Railroad
wheel can roll smoothly if the ground consists of evenly shaped inverted catenaries of the right size and curvature. A different type of square-wheeled vehicle
Square_wheel
USCGC Catenary (WYTL-65606) was a cutter in the United States Coast Guard (USCG). Constructed by the Gibbs Gas Engine Company and commissioned in early
USCGC_Catenary
Speed record achieved by TGV train
train. These were aerodynamics, traction and electrical systems, rail and catenary contact, braking, and comfort. The basic purpose of the test program was
TGV_world_speed_record
is a system whereby a railway line is supplied power both via overhead catenary and a third rail. This is done to enable trains that use either system
Dual_electrification
Catalan architect (1852–1926)
was the catenary arch. He had studied geometry when he was young, absorbing numerous articles about engineering, a field that praised the catenary curve
Antoni_Gaudí
Structure on which road signs are mounted
A gantry (also known as a sign holder, road sign holder, sign structure or road sign structure) is a traffic sign assembly in which signs are mounted or
Gantry_(transport)
US National Historic Landmark in St. Louis, Missouri
United States. Clad in stainless steel and built in the form of a weighted catenary arch, it is the world's tallest arch, Missouri's tallest accessible structure
Gateway_Arch
Type of bridge
bridge, swing bridge (in New Zealand), suspended bridge, hanging bridge and catenary bridge) is a primitive type of bridge in which the deck of the bridge lies
Simple_suspension_bridge
Power collection apparatus used by trains and light rail
traction: Mechanical measurements and tests of new catenary (with or without voltage), on a catenary and contact line inspection car; General power supply
Pantograph_(transport)
Mathematical curves generated by rolling other curves together
one needs to align more than just the tangents. If the fixed curve is a catenary and the rolling curve is a line, we have: f ( t ) = t + i ( cosh ( t
Roulette_(curve)
Surface of revolution of a catenary
In geometry, a catenoid is a type of surface, arising by rotating a catenary curve about an axis (a surface of revolution). It is a minimal surface, meaning
Catenoid
Railroad power system
transformers. Renew 40 miles (64 km) of catenary in Maryland. Renew 18 miles (29 km) of catenary in Pennsylvania. Continue catenary renewal along Hell Gate Line
Amtrak's 25 Hz traction power system
Amtrak's_25_Hz_traction_power_system
Special case of the Euler-Lagrange equations
A chain hanging from points forms a catenary.
Beltrami_identity
Regional rail service in India
designed system: a 25 kV flexible overhead catenary system for elevated sections and a rigid overhead catenary system for tunnels. The trains for the service
Namo_Bharat
proper loading on the catenary, the control car was built in three sections with universal joints between the sections. The catenary is the webbing internal
M-class_blimp
Suspended structure architecture
cables and a center column. Another type of suspended structure, suspended catenary, uses outer-wall concrete columns angled away from the center with a cable
Suspended_structure
supercapacitor and run catenary free as part of their regular operation. https://www.railwaygazette.com/urban/2014/05/06/konya-orders-trams-for-catenary-free-operation/
List of battery operated trams
List_of_battery_operated_trams
Scientific principles enabling the use of the calculus of variations
problem of determining the shape of a hanging chain suspended at both ends—a catenary—can be solved using variational calculus, and in this case, the variational
Variational_principle
Curve traced by a string as it is unwrapped from another curve
Involute and evolute Tractrix (red) as an involute of a catenary The evolute of a tractrix is a catenary The most common profiles of modern gear teeth are involutes
Involute
Railroad corridor in the Northeastern United States
Constant-tension catenary is used between Pelham, NY and Boston, MA, as well as for a short section in New Jersey. Most of the catenary south of New York
Northeast_Corridor
Metro-North Railroad line in New York and Connecticut
catenary to third rail was moved from Woodlawn to just west of Pelham in the early 1990s; this was done to eliminate the cost of maintaining catenary
New_Haven_Line
Branch of civil engineering dealing with man-made structures
number of different types of elements: Columns Beams Plates Arches Shells Catenaries Many of these elements can be classified according to form (straight,
Structural_engineering
Single-level passenger railcar model
and a mix of Coach and Business Class seating. Of the order, 26 six-car catenary-diesel dual-power trainsets will include an Auxiliary Power Vehicle (APV)
Siemens_Venture
British singer, songwriter, guitarist, and economist
Talulah Gosh, Heavenly, Marine Research, Tender Trap, and, since 2014, The Catenary Wires. In 2020, she began a new band, Swansea Sound, with The Pooh Sticks's
Amelia_Fletcher
Museum in Manhattan, New York
for a special tricycle with square wheels, which operates smoothly on a catenary surface. In 2006 the Goudreau Museum on Long Island, at the time the only
National Museum of Mathematics
National_Museum_of_Mathematics
Family of trams and light rail vehicles
Retrieved 24 February 2016. "Catenary-free trams". CAF. "The CAF Rapid Charge Accumulator: Technology for removing catenary between stations" (PDF). CAF
CAF_Urbos
Infrastructure for zero-emissions train propulsion
electrification done after 1919 used the same catenary supports used on the Paoli commuter line, but with the catenary being supplied with 100 kV 25 Hz "transmission"
Railroad electrification in the United States
Railroad_electrification_in_the_United_States
Commuter rail line in New Jersey
Long Branch in 1988, with catenary installed in 1986–88. As on the 1982 extension, the insulators can handle 25 kV. The catenary is self-adjusting (constant
North_Jersey_Coast_Line
Type of bridge
possibly at the same level or hung below the ropes such that the rope had a catenary shape. The Tibetan siddha and bridge-builder Thangtong Gyalpo originated
Suspension_bridge
Suspension bridge in Italy
The catenary suspension bridge of Real Ferdinando or the Ferdinandeo Bridge over the River Garigliano was the first iron catenary suspension bridge built
Real_Ferdinando_Bridge
Rapid transit line in Boston
heavy-rail lines and the only line to have both third rail and overhead catenary sections. The East Boston Tunnel was built as a streetcar tunnel in 1904
Blue_Line_(MBTA)
Mountains in Antarctica
of names in the area associated with surveying applied in 1993 by NZGB; catenary being the curve in which a survey chain hangs when it is suspended between
Quartermain_Mountains
Mumbai Metro's Red Line 7 terminal metro station
metro, Gundavali station also uses 25,000 volt AC power system by overhead catenary to operate the trains. Mumbai Metro at Gundavali Station Gundavali metro
Gundavali_metro_station
Intercity rail service operated by Amtrak in the northeastern United States
is the overhead catenary support system which was constructed before 1935 and lacks the constant-tension features of the new catenary east of New Haven
Acela
Under-construction high-speed rail line
(4 ft 8+1⁄2 in) standard gauge Electrification 25 kV AC, 50 Hz, overhead catenary Operating speed 320 km/h (200 mph) Route map Legend Hyderabad Rajiv Gandhi
Hyderabad–Bengaluru high-speed rail corridor
Hyderabad–Bengaluru_high-speed_rail_corridor
Modern tram line in Lausanne, Switzerland
length 4.6 km (2.9 mi) (phase 1) 3.4 km (2.1 mi) (phase 2) Track gauge 1,435 mm (4 ft 8+1⁄2 in) standard gauge Electrification 750 V DC Overhead catenary
Lausanne_tramway
the River Garigliano, completed in 1832. This bridge was the first iron catenary suspension bridge built in Italy and one of the earliest in continental
List of Albanian inventions and discoveries
List_of_Albanian_inventions_and_discoveries
Railway electrification system
station in Liguria in 1991 (closed 2001). Regular DC catenary is on the left while reconfigured three-phase catenary is on the middle and on the right.
Three-phase AC railway electrification
Three-phase_AC_railway_electrification
Chinese high speed EMU
unpowered trailer car 3 and 6 for collecting current from the overhead catenaries. The height of the carriages are reduced on the CR450AF compared to its
China_Railway_CR450AF
Aspect of architectural history
calculus and the study of statics. There were numerous studies on the catenary curve as the most stable form for arches and vaults and the ideal shape
18th-century_Western_domes
Trainset used on the Acela, Amtrak's high-speed Northeast Corridor service
is the overhead catenary support system which was constructed before 1935 and lacks the constant-tension features of the new catenary east of New Haven
Acela_Express_(trainset)
87.3 or 87.7 short tons) (E 44.5) Electric system/s 15 kV 16+2⁄3 Hz AC Catenary Current pickup Pantograph Traction motors nose-suspended, 4 off Head end
DRG_Class_E_44
Curved structure that spans a space and may support a load
weighted catenary) Palau Güell: Elliptical Three parabolic-looking curves in particular are of significance to the arch design: parabola itself, catenary, and
Arch
Railway line in Utah and Colorado, US
reaching the power plant. The railroad is electrified using an overhead catenary system energized at 50 kV 60 Hz AC to supply power to its electric locomotives
Deseret_Power_Railway
Conversion of railways to use electricity for propulsion
(DC) Alternating current (AC) Frequency Contact system Overhead lines (catenary) Third rail Fourth rail Ground-level power supply The selection of an electrification
Railway_electrification
Approved mass rapid transit line of Dhaka Metro Rail
standard gauge Electrification 750 V DC third rail and 1,500 V DC overhead catenary Operating speed 100 km/h (62 mph) Highest elevation 13 metres (43 ft) Route
MRT_Line_4_(Dhaka_Metro_Rail)
Mumbai Metro's Red Line 7 metro station
Goregaon (East) station also uses 25,000 volt AC power system by overhead catenary to operate the trains. Mumbai List of Mumbai Metro stations Transport in
Goregaon_East_metro_station
Railway bridge connecting Pamban Island to mainland India
characteristics No. of tracks 1 Track gauge Broad gauge Electrified Rigid Overhead Catenary System History Construction start August 1911 Construction end February
Pamban_Bridge
Metro rolling stock built by Changchun
metro network, with many sets being converted to be used under overhead catenary as electric multiple units, or as a locomotive. The DK4, in its original
DK4
British twee pop band
indefinite hiatus in 2014. As of 2024, Fletcher and Pursey are both in The Catenary Wires and Swansea Sound, while Momtchiloff plays in Would-Be-Goods and
Heavenly_(British_band)
are DC1500V overhead wires. The overhead wires is divided into overhead catenary and overhead conductor rails. Except for the earlier construction of lines
Shanghai_Metro_rolling_stock
Hyperbolic analogues of trigonometric functions
of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's
Hyperbolic_functions
RapidX's Delhi–Meerut RRTS station
months ago (5 January 2025) Electrified 25 kV 50 Hz AC through overhead catenary Services Preceding station Namo Bharat Following station Sarai Kale Khan
New_Ashok_Nagar_RRTS_station
Metro-North Railroad station in New York
station on the line before it changes from third rail power to overhead catenary power, which takes place between the Mount Vernon East and Pelham stations
Mount_Vernon_East_station
Mumbai Metro's Yellow Line 2A metro station
Malad West station also uses 25,000 volt AC power system by overhead catenary to operate the trains. "New Parking Facility To Be Introduced Near 5 Metro
Malad_West_metro_station
Under-construction suburban rail line in Bengaluru, India
5 ft 6 in (1,676 mm) broad gauge Electrification 25 kV 50 Hz AC overhead catenary Route map Legend Towards Tumakuru 26.883 Soladevanahalli Soladevanahalli
Mallige_line
Mumbai Metro's Yellow Line 2A metro station
Borivali West station also uses 25,000 volt AC power system by overhead catenary to operate the trains. "New Parking Facility To Be Introduced Near 5 Metro
Borivali_West_metro_station
Railway in the Basque Country, Spain
Lezama Stations 10 History Opened 2 May 1894 Technical Track gauge 1,000 mm (3 ft 3+3⁄8 in) Electrification 1,500 V DC overhead catenary Signalling LZB
Txorierri_line
Under construction rapid transit line in Melbourne, Australia
(4 ft 8+1⁄2 in) standard gauge Electrification 25 kV 50 Hz AC from overhead catenary Operating speed 100 km/h (62 mph) Signalling Alstom Urbalis Forward
Suburban_Rail_Loop_East
Railway line in South Africa
Note the very long 50 kV insulators on the catenary masts
Sishen–Saldanha_railway_line
Inverse relationship between the intensity and duration
density, which J. Halm adopted and modified, leading to the "Kron–Halm catenary equation" or "Kron–Halm–Webb formula" to describe departures from reciprocity
Reciprocity_(photography)
First metro line of Quito, Ecuador
Technical Line length 22.6 km (14.0 mi) Number of tracks 2 Character Underground Track gauge 1,435 mm (4 ft 8+1⁄2 in) Electrification Overhead catenary
Quito_Metro_Line_1
Railway line in Bavaria, Germany
(4 ft 8+1⁄2 in) standard gauge Electrification 15 kV/16.7 Hz AC overhead catenary Operating speed 160 km/h (99 mph) Route map Legend km elev from Augsburg
Donauwörth–Treuchtlingen railway
Donauwörth–Treuchtlingen_railway
Japanese-designed American streetcar
Roof-mounted duct-type air conditioning Electric systems 750 V DC from overhead catenary Current collection Single-arm pantograph or battery UIC classification
AmeriTram
Electric commuter train
since 2010. The 22000 series EMUs are powered by 25 kV AC via overhead catenary. Each 3 car set cost €3.7 million each. "IZBAN E22000". Trains of Turkey
IZBAN_E22000
Former local railway services in the San Francisco Bay Area
double track and electrify its commuter lines. When the construction of catenary over the new lines was complete, Southern Pacific received a new fleet
East_Bay_Electric_Lines
Articulated tramcar class in Oslo, Norway
(94 hp) Power output 560 kW (750 hp) Electric systems 750 V DC overhead catenary Current collection Pantograph UIC classification Bo′+0′+2′+0′+Bo′ Seating
SL18
1965 novel by Norman Mailer
An American Dream is a 1965 novel by American author Norman Mailer. It was published by Dial Press. Mailer wrote it in serialized form for Esquire, consciously
An_American_Dream_(novel)
Furnace for clay products
flues outside the oven. Catenary arch kiln: Typically used for the firing of pottery using salt, these by their form (a catenary arch) tend to retain their
Kiln
Commuter rail service in New York and Connecticut
unique in that trains use both third rail and 12.5 kV AC from overhead catenary. The line from Grand Central Terminal to Mount Vernon East uses third rail
Metro-North_Railroad
Curve traced by a point on a rod as one end is dragged along a line
rolling (without skidding) on a straight line. It is the involute of the catenary function, which describes a fully flexible, inelastic, homogeneous string
Tractrix
U.S. national park in St. Louis, Missouri
Dred Scott case. The national park consists of the Gateway Arch, a steel catenary arch that has become the definitive icon of St. Louis; a park along the
Gateway_Arch_National_Park
20th-century house in Florida
Sarasota School of Architecture. Its radical shape, featuring an inverted catenary roof, was an experiment in structure and technology. It is considered one
Healy_Guest_House
Metro station in Bihar, India
October 2025) Electrified Single-phase 25 kV 50 Hz AC through overhead catenary Services Preceding station Patna Metro Following station Zero Mile towards
Patliputra Bus Terminal metro station
Patliputra_Bus_Terminal_metro_station
Northeast Corridor railroad power system
in the late 1990s and supplies locomotives with power from an overhead catenary system at 25 kV alternating current at 60 Hz, the standard frequency in
Amtrak's 60 Hz traction power system
Amtrak's_60_Hz_traction_power_system
Regional rail transport company in Sweden
System length 102.3 km (63.6 mi) Track gauge 1,435 mm (4 ft 8+1⁄2 in) standard gauge Electrification 15 kV 16+2⁄3 Hz AC from overhead catenary System map
Mälardalstrafik
Metro system in Cairo, Egypt
Underground and At-grade street running Track gauge 1,435 mm (4 ft 8+1⁄2 in) Electrification Overhead catenary (1.5 kV DC) Operating speed 100 km/h (62 mph)
Cairo_Metro_Line_1
Surrealist automatic writing & art technique
collaborative and experimental sonic work. In 2018, Simon Weir began producing catenary vaults where a dozen designers collaborate blindly using the exquisite
Exquisite_corpse
French high-speed train trials, 2007
departments. The track superelevation was increased to support higher speeds. Catenary voltage was increased to 31 kV from the standard 25 kV. The mechanical
Project_V150
Bridge type
standing on its original site Garabit Viaduct, a thrust arch type employing a catenary shape The steel Stoney Creek Bridge carries the Canadian Pacific Railway
Truss_arch_bridge
Japanese train type
1.30 m/s2 (2.9 mph/s) (emergency) Electric systems 1,500 V DC overhead catenary Current collection Pantograph UIC classification 2′2′+Bo′Bo′+Bo′Bo′+2′
Odakyu_70000_series_GSE
Train operator company in Indonesia
(4 ft 8+1⁄2 in) standard gauge Electrification 25 kV 50 Hz AC, (overhead catenary) Length 142.3 kilometres (88.4 mi) Operating speed 350 km/h (220 mph) Other
Kereta_Cepat_Indonesia_China
Railway line in Japan
Technical Line length 4.2 km (2.6 mi) Track gauge 1,067 mm (3 ft 6 in) Electrification 1,500 V DC, overhead catenary Operating speed 120 km/h (75 mph)
Meitetsu_Airport_Line
Mumbai Metro's Red Line 7 metro station
metro, Aarey station also uses 25,000 volt AC power system by overhead catenary to operate the trains. Mumbai List of Mumbai Metro stations Transport in
Aarey_metro_station
Japanese electric multiple unit train type
Specifications Maximum speed 130 km/h (81 mph) (design) Traction system SiC–VVVF Electric systems 1,500 V DC overhead catenary Current collection Pantograph
Keio_2000_series
Planned suburban rail line in Bengaluru, India
tracks Double-track Character Elevated and at-grade Track gauge 5 ft 6 in (1,676 mm) broad gauge Electrification 25 kV 50 Hz AC overhead catenary Route map
Parijaata_line
CATENARY
CATENARY
CATENARY
CATENARY
Boy/Male
Afghan, Arabic, Bengali, Finnish, French, German, Gujarati, Hebrew, Hindu, Indian, Iranian, Japanese, Kannada, Malayalam, Marathi, Muslim, Parsi, Sindhi, Swedish, Tamil
High; Sublime; Similar; Noble; All Hearing; Elevated; Another Name for God; Listener; Obedient; Lofty; Supreme
Surname or Lastname
English
English : variant of Colling.
Boy/Male
Indian, Telugu
Character
Boy/Male
Shakespearean
Measure for Measure' A dissolute prisoner.
Girl/Female
Indian
Light, Another name of Hazrat Fatima Zahra
Female
Celtic
, victory.
Girl/Female
Arabic, Muslim
Wisdom; Prudence
Girl/Female
Indian
Beautiful Eye
Boy/Male
Sikh
Success, The light of glory
Girl/Female
Afghan, American, German, Greek, Hindu, Indian, Latin, Marathi
Dawn; Dawn's Light
CATENARY
CATENARY
CATENARY
CATENARY
CATENARY
a.
Relating to a chain; like a chain; as, a catenary curve.
a.
Alt. of Catenarian
n.
The curve formed by a rope or chain of uniform density and perfect flexibility, hanging freely between two points of suspension, not in the same vertical line.