
A triangulation station, also known as a trigonometrical point, and sometimes informally as a trig, is a fixed
surveying
Surveying or land surveying is the technique, profession, art, and science of determining the land, terrestrial Plane (mathematics), two-dimensional or Three-dimensional space#In Euclidean geometry, three-dimensional positions of Point (geom ...
station, used in
geodetic surveying and other surveying projects in its vicinity.
The station is usually set up by a mapping organisation with known
coordinates
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the Position (geometry), position of the Point (geometry), points or other geometric elements on a manifold such as ...
and
elevation
The elevation of a geographic location (geography), ''location'' is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational equipotenti ...
published. Numerous stations are installed on
summit
A summit is a point on a surface that is higher in elevation than all points immediately adjacent to it. The topographic terms acme, apex, peak (mountain peak), and zenith are synonymous.
The term (mountain top) is generally used only for ...
s for purposes of visibility and prominence. A graven metal plate on the top of a pillar may provide a mounting point for a
theodolite
A theodolite () is a precision optical instrument for measuring angles between designated visible points in the horizontal and vertical planes. The traditional use has been for land surveying, but it is also used extensively for building and ...
or reflector, often using some form of
kinematic coupling to ensure reproducible positioning.
Use
Trigonometrical stations form networks of
triangulation
In trigonometry and geometry, triangulation is the process of determining the location of a point by forming triangles to the point from known points.
Applications
In surveying
Specifically in surveying, triangulation involves only angle m ...
. Positions of land boundaries, roads, railways, bridges and other infrastructure can be accurately located by the network, a task essential to the construction of modern infrastructure. Apart from the known stations set up by government, some temporary trigonometrical stations are set up near construction sites for monitoring the precision and progress of construction.
Some trigonometrical stations use the
Global Positioning System
The Global Positioning System (GPS) is a satellite-based hyperbolic navigation system owned by the United States Space Force and operated by Mission Delta 31. It is one of the global navigation satellite systems (GNSS) that provide ge ...
for convenience. Its accuracy factors in ionospheric and tropospheric propagation delay errors.
Although stations are no longer required for many modern surveying purposes, they remain useful to hikers and even
aviator
An aircraft pilot or aviator is a person who controls the flight of an aircraft by operating its directional flight controls. Some other aircrew members, such as navigators or flight engineers, are also considered aviators because they a ...
s as navigational aids. Particular small triangles on maps (◬) mark summits, for example.
Worldwide
The nomenclature for triangulation stations varies regionally: they are generally known as trigonometrical stations or triangulation stations in North America, trig points in the United Kingdom, trig pillars in Ireland, trig stations or trig points in Australia and New Zealand, and trig beacons in South Africa.
Australia
In the 1820s, much of New South Wales was unsurveyed territory to the European arrivals. To aid the mapping of the country, the science of trigonometic surveying was introduced by Major Thomas Mitchell who had been brought out to the colony as Assistant Surveyor General of New South Wales. The freestanding peak of
Mount Jellore was selected as the first trigonometric summit for his triangulation survey of the countryside. In 1828 Mitchell headed south from Sydney with a small party and camped at the base of the basalt, making daily excursions to the top. While his convict crew cleared the summit of trees, Mitchell plotted and measured distant peaks and sketched the skyline.
A national geodetic survey and adjustment carried out in the early 1970s in Australia has left a legacy of trig stations, many consisting of a ground mark with a black quadripod (pyramid frame) supporting a visible disc above the ground mark.
Jellore_trig_plaque.jpg, Australia's first trig
Trigonometrical Station on Mt Gibraltar, NSW, Australia.jpg, Trigonometrical station, NSW, Australia
Trig point atop Mount Wellington, Tasmania.jpg, Trig point atop Mount Wellington, Tasmania
Hong Kong
Many trigonometrical stations were placed on hilltops around Hong Kong. They strongly resemble those used in other former British colonial territories such as Australia, consisting of a white column topped with a black band.
Chek Lap Kok Scenic Hill trigonometrical station.jpg, A trigonometrical station in Chek Lap Kok Scenic Hill, Hong Kong
Japan
In Japan, there are five classes of :
;
:They are installed approximately every , with smaller ones (as necessary) about every .
There are about 1000 throughout Japan. The pillars are on a side, and each pillar is anchored with two very large perpendicular rocks buried underground.
;
:They are installed approximately every . There are about 5000 throughout Japan, and the pillars are on a side. Each pillar is anchored with a very large perpendicular rock buried underground.
;
:There are about 32,000 installed throughout Japan, with one approximately every . The pillars are on a side, and each pillar is anchored with a large perpendicular rock buried underground.
;
:They are installed approximately every , and there are about 69,000 throughout Japan. The pillars are on a side, and each pillar is anchored with a large perpendicular rock buried underground.
;
:These markers were installed in 1899 and are the predecessors to the modern triangulation stations used in Japan today. They are generally not used anymore since the installation of the Class 1-4 stations. Some of them still exist at various locations throughout Japan.
3rd class triangulation point in Shiroyama Park in Inagi.jpg, Class 3 triangulation point in Shiroyama Park in Inagi, Tokyo
New Zealand
there are 5,765 trig stations in
New Zealand
New Zealand () is an island country in the southwestern Pacific Ocean. It consists of two main landmasses—the North Island () and the South Island ()—and List of islands of New Zealand, over 600 smaller islands. It is the List of isla ...
. They are placed on top of hills and are usually black and white.
Mount Maunganui triangulation station.jpg, Trig station on top of Mount Maunganui
South Africa
South Africa has a network of approximately 28,000 trig beacons, established by the
Chief Directorate: National Geo-spatial Information (historically known as the Trigonometrical Survey). These beacons are typically white-painted concrete pillars supporting black metal plates in a cross shape, installed on mountains, hills or tall buildings.
P1000268a The summit of Lion's Head.jpg, Trig beacon on the summit of Lion's Head in Cape Town
Cape Town is the legislature, legislative capital city, capital of South Africa. It is the country's oldest city and the seat of the Parliament of South Africa. Cape Town is the country's List of municipalities in South Africa, second-largest ...
Spain
In Spain there are 11,000 triangulation stations, concrete structures which typically consist of a cylinder high and in diameter over a concrete cubic base.
They were erected by the
Instituto Geográfico Nacional, usually painted in white, and may be marked with a metallic label with the warning: "The destruction of this sign is punishable by law."
Cima de Peñalara. Parque nacional de la Sierra de Guadarrama. España, Spain.jpg, Trigonometric station on the top of Peñalara mountain (Spain)
United Kingdom
In the United Kingdom, trig points are typically concrete pillars and were erected by the
Ordnance Survey
The Ordnance Survey (OS) is the national mapping agency for Great Britain. The agency's name indicates its original military purpose (see Artillery, ordnance and surveying), which was to map Scotland in the wake of the Jacobite rising of ...
.
The process of placing trig points on top of prominent hills and mountains began in 1935 to assist in the accurate
retriangulation of Great Britain
The Retriangulation of Great Britain was a triangulation (surveying), triangulation project carried out between 1935 and 1962 that sought to improve the accuracy of maps of Great Britain. Data gathered from the retriangulation replaced data gat ...
. The
Ordnance Survey
The Ordnance Survey (OS) is the national mapping agency for Great Britain. The agency's name indicates its original military purpose (see Artillery, ordnance and surveying), which was to map Scotland in the wake of the Jacobite rising of ...
's first trig point was erected on 18 April 1936 near
Cold Ashby
Cold Ashby is a village and civil parish in West Northamptonshire in England. At the time of the 2001 census, the parish's population was 255 people, increasing to 278 at the 2011 census.
The villages name means 'Ash-tree farm/settlement' or ' ...
, Northamptonshire. In low-lying or flat areas some trig points are only a few metres above sea level and one is even at −1 m (near
Little Ouse, Cambridgeshire, TL61718 89787). When all the trig points were in place, it was possible in clear weather to see at least two other trig points from any one trig point, but subsequent vegetation growth means that this is not necessarily still the case. Careful measurements of the angles between the lines-of-sight of the other trig points then allowed the construction of a system of triangles which could then be referenced back to a single baseline to construct a highly accurate measurement system that covered the entire country.
In most of the UK, trig points are truncated square concrete (occasionally stone)
pyramid
A pyramid () is a structure whose visible surfaces are triangular in broad outline and converge toward the top, making the appearance roughly a pyramid in the geometric sense. The base of a pyramid can be of any polygon shape, such as trian ...
s or
obelisk
An obelisk (; , diminutive of (') ' spit, nail, pointed pillar') is a tall, slender, tapered monument with four sides and a pyramidal or pyramidion top. Originally constructed by Ancient Egyptians and called ''tekhenu'', the Greeks used th ...
s tapering towards the top. On the top a brass plate with three arms and a central depression is fixed, known as a "spider": it is used to mount and centre a theodolite used to take angular measurements to neighbouring trig points. A
benchmark is usually set on the side, marked with the letters "O S B M" (Ordnance Survey Bench Mark) and the reference number of the trig point on a plaque called a "flush plate". Within and below the visible trig point, there are concealed reference marks whose National Grid References are precisely known. The standard trig point design is credited to
Brigadier Martin Hotine (1898–1968), head of the
Trigonometrical and
Levelling
Levelling or leveling (American English; see spelling differences) is a branch of surveying, the object of which is to establish or verify or measure the height of specified points relative to a datum. It is widely used in geodesy and cartogra ...
Division of the Ordnance Survey.
Many of them are now disappearing from the countryside as their function has largely been superseded by
aerial photography
Aerial photography (or airborne imagery) is the taking of photographs from an aircraft or other flight, airborne platforms. When taking motion pictures, it is also known as aerial videography.
Platforms for aerial photography include fixed-wi ...
and
digital mapping using
laser
A laser is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation. The word ''laser'' originated as an acronym for light amplification by stimulated emission of radi ...
s and
GPS. To quote from a page at the OS site: "Like an iceberg, there is more of trig pillar below the surface than above it." From the same source: "Today the receivers that make up the OS Net network are coordinated to an accuracy of just 3 mm over the entire length of Great Britain."
Trig Point near Wootton Wawen.jpg, A trig point near Wootton Wawen, Warwickshire
Warwickshire (; abbreviated Warks) is a Ceremonial counties of England, ceremonial county in the West Midlands (region), West Midlands of England. It is bordered by Staffordshire and Leicestershire to the north, Northamptonshire to the east, Ox ...
, England
Trig point.jpg, Sign at Triangulation Point 3M of the Israeli Cassini Soldner measuring system outside Ofakim.
United States
The United States
National Geodetic Survey
The National Geodetic Survey (NGS) is a List of federal agencies in the United States, United States federal agency based in Washington, D.C. that defines and manages a national geographic coordinate system, coordinate system, providing the fou ...
(NGS) and predecessor agencies manages the
National Spatial Reference System (NSRS), which includes permanent survey marks for horizontal position (latitude and longitude), height, or gravity. Some marks have information for both horizontal position and height. Some marks were established by NGS. Others were established by other organizations, such as state highway departments, but are included in the database that makes up the NSRS. Information about marks is available to the public online. The number of points in the NSRS is over 1,500,000.
The image is the spire of the
Fair Haven, Vermont First Baptist Church, a horizontal survey mark (triangulation station), and is described in the NGS National Spatial Reference System under the permanent I
OD1373
OD1373-horizon.jpg, Fair Haven First Baptist Church
See also
*
Struve Geodetic Arc
*
Benchmark (surveying)
The term benchmark, bench mark, or survey benchmark originates from the chiseled horizontal marks that surveyors made in stone structures, into which an angle iron could be placed to form a "bench" for a leveling rod, thus ensuring that a le ...
*
Bilby tower
A Bilby tower is a type of Surveying, survey tower made from steel and used by the United States Coast and Geodetic Survey (USC&GS) from 1927 to 1984. It is named after Jasper S. Bilby who designed it in 1926. In 1927, Herbert Hoover, then the S ...
*
Boundary marker
A boundary marker, border marker, boundary stone, or border stone is a robust physical marker that identifies the start of a land Border, boundary or the change in a boundary, especially a change in direction of a boundary. There are several ...
*
Geodesy
Geodesy or geodetics is the science of measuring and representing the Figure of the Earth, geometry, Gravity of Earth, gravity, and Earth's rotation, spatial orientation of the Earth in Relative change, temporally varying Three-dimensional spac ...
*
Ordnance Survey
The Ordnance Survey (OS) is the national mapping agency for Great Britain. The agency's name indicates its original military purpose (see Artillery, ordnance and surveying), which was to map Scotland in the wake of the Jacobite rising of ...
*
Retriangulation of Great Britain
The Retriangulation of Great Britain was a triangulation (surveying), triangulation project carried out between 1935 and 1962 that sought to improve the accuracy of maps of Great Britain. Data gathered from the retriangulation replaced data gat ...
*
Survey marker
Survey markers, also called survey marks, survey monuments, or geodetic marks, are objects placed to mark key survey points on the Earth's surface. They are used in geodetic and land surveying. A '' benchmark'' is a type of survey marker th ...
*
Trigpointing is a pastime in which people individually go out, find and log the location of trig points.
* Cover of
Martyn Bennett's album ''
Grit''
References
External links
TrigpointingUKGPS Waypoints of all UK TrigpointsPhotos of examples of trig points in the UK on geograph.org.ukDatabase of trig points in the United KingdomRepères de nivellement. French I.G.N
Serveur de fiches (maps). French I.G.N
Database of trig points in New Zealand
"Trig pillars we salute you", blog post from UK Ordnance Survey
{{DEFAULTSORT:Triangulation Station
Surveying and geodesy markers