# William Lambton

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British geographer (1753–1823)

For the member of parliament for County Durham, see [William Lambton (1640–1724)](/source/William_Lambton_(1640%E2%80%931724)). For the member of parliament for City of Durham, see [William Henry Lambton](/source/William_Henry_Lambton). For the British general, see [William Lambton (British Army officer)](/source/William_Lambton_(British_Army_officer)).

William Lambton FRS Lambton in 1822, oil painting by William Havell in the Royal Asiatic Society Born 1753 Crosby Grange Died January 1823 (aged 70) Hinganghat Occupations Engineer, surveyor Known for Founding Superintendent of the Great Trigonometric Survey Signature

Lieutenant-Colonel **William Lambton** [FRS](/source/Fellow_of_the_Royal_Society) (c. 1753 – 20 or 26[1] January 1823[2]) was a British [soldier](/source/Soldier), [surveyor](/source/Surveyor_(surveying)), and [geographer](/source/Geographer) who began a [triangulation survey](/source/Triangulation_(surveying)) in 1800-1802 that was later called the [Great Trigonometrical Survey](/source/Great_Trigonometrical_Survey) of [India](/source/India). His initial survey was to measure the length of a degree of an arc of the meridian so as to establish the shape of the Earth and support a larger scale trigonometrical survey across the width of the peninsula of India between [Madras](/source/Madras) and [Mangalore](/source/Mangalore). After [triangulating](/source/Triangulation) across the peninsula, he continued surveys northwards for more than twenty years. He died during the course of the surveys in [central India](/source/Central_India) and is buried at [Hinganghat](/source/Hinganghat) in [Wardha](/source/Wardha) district of [Maharashtra](/source/Maharashtra). He was succeeded by his assistant [George Everest](/source/George_Everest).

## Life

[Great Theodolite](/source/Great_theodolite) by [Jesse Ramsden](/source/Jesse_Ramsden), similar to the one made by William Cary that was used by Lambton in the early surveys.

Lambton was born around 1753 (1756 according to some sources[3]) at Crosby Grange, near [Northallerton](/source/Northallerton), in [North Yorkshire](/source/North_Yorkshire), the son of a farmer. He was extremely reserved about the details of his family. Even the year of birth is speculated on the basis of an incident he recounted of a dinner in [Madikeri](/source/Madikeri) in 1803 hosted by [Veer Rajender Wadeer](/source/Chikka_Virarajendra), the ruler of the province of [Coorg](/source/Coorg). The Coorg [Raja](/source/Raja) made all present declare their age and Lambton is said to have mentioned his as fifty.[4] For many years he spent a substantial portion of his salary to support his parents, from which it has been suggested that he came from humble origins.[5] He often mentioned a mathematics teacher at school by the name of Emerson. His skill in [mathematics](/source/Mathematics) earned him a place in a [grammar school](/source/Grammar_school) at Northallerton, and he studied under Dr. [Charles Hutton](/source/Charles_Hutton).[6] He also studied at Newcastle-on-Tyne.

On 28 March 1781, Lambton was appointed [ensign](/source/Ensign_(rank)) in [Lord Fauconberg](/source/Lord_Fauconberg)'s regiment of foot, and transferred to the [33rd Regiment of Foot](/source/33rd_Regiment_of_Foot) under [Arthur Wellesley](/source/Arthur_Wellesley%2C_1st_Duke_of_Wellington) to the Cape in 1796 and later to Bengal and Madras (1798). His ability at surveying led to work on measuring land for settlers in America. He spent most of his earning to support his parents. With his regiment he took part in the [American War of Independence](/source/American_War_of_Independence) and was taken prisoner at [Yorktown](/source/Siege_of_Yorktown). Observing a [solar eclipse](/source/Solar_eclipse) through the telescope of a [theodolite](/source/Theodolite) without darkened glasses led to the burning of the retina of his left eye. After this accident he obtained with the help of his friends, especially Sir Brook Watson, an appointment as barrack-master in [New Brunswick](/source/New_Brunswick) with a salary of 400 pounds per year. He had considerable leisure during which he was able to lay, in his words, "*...the foundation of that knowledge, which was one day to bring him to the notice of the world*." He was appointed barrack master in [Nova Scotia](/source/Nova_Scotia) and he spent many years studying mathematics on his own.[2] In 1795 the [Duke of York](/source/Duke_of_York) ordered that all civilian officers should be struck off from the regiments. Lambton then joined the 33rd at [Calcutta](/source/Calcutta) after 13 years away from regimental duties. The 33rd Regiment was commanded by Sir [Arthur Wellesley](/source/Arthur_Wellesley%2C_1st_Duke_of_Wellington) at Calcutta.[2]

Triangulation map in [central India](/source/Central_India) signed by Lambton and Everest

In 1796, Lambton was promoted to Lieutenant and posted with his regiment to [India](/source/India), under the command of [Colonel Arthur Wellesley](/source/Arthur_Wellesley%2C_1st_Duke_of_Wellington). He took part in the [Fourth Anglo-Mysore War](/source/Fourth_Anglo-Mysore_War) in 1799. He was a [brigade major](/source/Brigade_major) during the [Siege of Seringapatam](/source/Battle_of_Seringapatam) where he led the left column after the fall of his superiors. He was also able to demonstrate his skills in navigating by the stars during the campaign and had prevented a critical error when General [Baird](/source/Sir_David_Baird%2C_1st_Baronet) was headed in the wrong direction while attempting to get around Tipu's camp at night.[7] After the capture of [Mysore](/source/Mysore), Lambton proposed to Wellesley that the territory be surveyed, using the new techniques of [geodesy](/source/Geodesy) employed by [William Roy](/source/William_Roy) in [Great Britain](/source/Great_Britain). Lambton's proposal to conduct the survey was nearly blocked by Major [James Rennel](/source/James_Rennell), who declared that it was not needed since Colonel [Colin Mackenzie](/source/Colin_Mackenzie) was already undertaking a similar survey.

Lambton's area of work

Lambton's proposal was however examined by [Nevil Maskelyne](/source/Nevil_Maskelyne), [Astronomer Royal](/source/Astronomer_Royal) and a relative of [Lord Clive](/source/Robert_Clive). Maskelyne saw the scientific value of the survey and pointed out to Rennel that he had been misinformed and gave his support to the project.[8] Just around the time that Lambton got his survey approved by Lord Clive, he happened to hear of some instruments being carried back from [China](/source/China) by astronomer Dr. [James Dinwiddie](/source/James_Dinwiddie_(astronomer)). A set of instruments had been sent to China along with Dr. Dinwiddie but the [Chinese Emperor](/source/Chinese_emperor) had not shown interest and the equipment was returned. Lambton was able to examine the instruments when Dinwiddie broke journey at [Fort William](/source/Fort_William%2C_India). The instruments included a [zenith sector](/source/Zenith_sector) (an upward pointing telescope with measuring instruments) of 5 feet (1.5 m) radius, a [Ramsden chain](/source/Chain_(unit)#Engineer's_chain_(Ramsden's_chain)), [leveling instrument](/source/Level_(instrument)), and a [chronometer](/source/Chronometer_watch). Lambton also ordered an altitude and azimuth circle with a theodolite. The equipment arrived in 1801. Although a baseline was measured in [Bangalore](/source/Bangalore) between October and December 1800,[9] this appears to have been rejected (it was not connected to the triangulations[10]) and another baseline was made in 1804 (using better equipment and on better terrain) to compare with the [Madras](/source/Madras) baseline, whose measurement began on 10 April 1802 from [St. Thomas Mount](/source/St._Thomas_Mount) and was completed with 7.5 miles (12.1 km) measured by 22 May 1802. They then triangulated their way to Bangalore where the 1804 baseline was measured by [John Warren](/source/Jean_Baptiste_Fran%C3%A7ois_Joseph_de_Warren) to check the survey accuracy (also examining the errors introduced by [refraction](/source/Refraction)[11]).[4] The triangulation extended west to end at Mangalore. In 1806 he began his [latitudinal](/source/Latitude) measurement 100 miles (160 km) northwards from [Bangalore](/source/Bangalore), where the British territory ended. He then surveyed southwards to [Cape Comorin](/source/Cape_Comorin). Lambton then recommenced the survey northwards until his death. He died at [Hinganghat](/source/Hinganghat), and the exact date of death is not known but is either 20th as recorded by most contemporary newspapers or 26 January 1823.[6][1] A memorial was erected by the Resident of [Nagpur](/source/Nagpur), [Richard Jenkins](/source/Richard_Jenkins_(MP)).[2]

Lambton had three acknowledged children through an Indian mistress named Kumerboo. One of them was also named William Lambton while another possibly died in infancy. He had another daughter and son through another woman Frances, possibly a Franco-Indian or [Anglo-Indian](/source/Anglo-Indian_people). A William Lambton junior joined the Survey in 1815.[12]

## Surveys

The first triangulations across the peninsula

Around the time that Lambton proposed a triangulation survey of the peninsula of India, Colonel Colin Mackenzie had already begun a [topographical survey](/source/Topographical_surveys) of the Mysore region. Mackenzie was later designated as the [Surveyor General](/source/Surveyor_general). Lambton, with his support from Lord Clive, however, did not have to report to Mackenzie and it has been suggested that Mackenzie felt undermined. Their correspondence however showed cordial relations being maintained.[13] The triangulation survey was officially given the name of Great Trigonometrical Survey only in 1818.[14] Lambton essentially followed a system established in [England](/source/England) by General Roy for the [Principal Triangulation of Great Britain](/source/Principal_Triangulation_of_Great_Britain). Lambton's initial aim was to measure the [arc of a meridian](/source/Meridian_arc) so as to establish the [shape of the Earth](/source/Shape_of_the_Earth). Lambton did not wish to assume any specific theoretical shape and preferred to make exact measurements. In the earliest surveys conducted in Bangalore he noted:[9][15]

But should the earth prove to be neither an ellipsoid, nor a figure generated by any particular curve, of known properties, but a figure whose meridional section is bounded by no law of curvature, then we can obtain nothing until we have an actual measurement, to be applied as has been already mentioned.

Ramsden's [Zenith Sector](/source/Zenith_sector) used for determining latitude

The Bangalore baseline of 1800 made use of a chain laid in long [coffers](/source/Coffer) supported on pickets and the heads were aligned using a telescope. The ground chosen was not appropriate and this early baseline measurement had to be dropped.[4] The equipment needed for careful survey arrived only in 1801. The subsequent baselines including were made more carefully with the use of a [Ramsden's chain](/source/Ramsden_surveying_instruments#Chains_and_rods) specially calibrated for tropical temperatures, consisting of 40 links of 2.5 feet (0.76 m) each and measuring 100 feet (30 m) at 62 °F (17 °C), and a boning telescope (a small, low-magnification telescope used for aligning the tops of survey poles).[16][17] He took special precautions to account for the expansion of the chain under the Indian weather; and repeated measurements with rotations of the telescope of the Zenith sector so as to account for [collimation](/source/Collimation) errors in determining the latitude (the elevation of the pole star directly provides the latitude but owing to errors related to determining the horizon and from refraction, the preferred method in surveying was to use well known stars located closer to the zenith, such as [Aldebaran](/source/Aldebaran) for India, whose declination from the [pole-star](/source/Pole_star) had been pre-established). Lambton's assistant [John Warren](/source/Jean_Baptiste_Fran%C3%A7ois_Joseph_de_Warren) investigated the effect of refraction on errors in calculating the latitudes.[18][9]

The main survey instrument from 1802 for the primary triangles was a [Great Theodolite](/source/Great_theodolite) made by [William Cary](/source/William_Cary_(instrument_maker)). This was very similar to the instruments used in France and Britain for previous trigonometrical surveys. It had a horizontal circle that was 36 inches (91 cm) and the readings were taken using a microscope. The vertical graduated circle was 18 inches (46 cm) in diameter.[10] It weighed about half a ton and needed twelve men to carry it. Lambton measured all three angles of triangles in several cases to establish the [spherical excess](/source/Spherical_excess) (angles of triangles on a sphere sum up greater than 180°). When the survey was carried out from Madras to Bangalore, Lambton was able to compare the Bangalore baseline of 1804 with the calculated measurements and the difference was about 3.5 inches (8.9 cm).[15]

## Honours

Lambton was made a [Fellow of the Royal Society](/source/Fellow_of_the_Royal_Society) (9 January 1817)[19] and a corresponding member of the [French Academy of Sciences](/source/French_Academy_of_Sciences) in 1817. A narrow ridge above the Bhavani valley along the [Nilgiris](/source/Nilgiris) is named after him, as Lambton's Peak Range.[20] A commemorative bust was placed at St. Thomas Mount, [Chennai](/source/Chennai), India in 2003.[21]

## Notes

1. ^ [***a***](#cite_ref-odnb_1-0) [***b***](#cite_ref-odnb_1-1) Baigent, Elizabeth. "Lambton, William (1753x69–1823)". *[Oxford Dictionary of National Biography](/source/Dictionary_of_National_Biography#Oxford_Dictionary_of_National_Biography)* (online ed.). Oxford University Press. [doi](/source/Doi_(identifier)):[10.1093/ref:odnb/15948](https://doi.org/10.1093%2Fref%3Aodnb%2F15948). (Subscription, [Wikipedia Library](https://wikipedialibrary.wmflabs.org/partners/88/) access or [UK public library membership](https://www.oxforddnb.com/help/subscribe#public) required.)

1. ^ [***a***](#cite_ref-markham_2-0) [***b***](#cite_ref-markham_2-1) [***c***](#cite_ref-markham_2-2) [***d***](#cite_ref-markham_2-3) Markham, Clements R. (1871). [*Memoir on the Indian Surveys*](https://archive.org/stream/memoironindiansu00mark#page/44/mode/2up). Trubner & Co. pp. 44–57.

1. **[^](#cite_ref-3)** Rao, C. Hayavadana, ed. (1930). ["Roll of honour"](https://archive.org/details/in.ernet.dli.2015.275388/page/n499/mode/1up). *Mysore Gazetteer. Volume II. Part IV* (2 ed.). Bangalore.{{[cite book](https://en.wikipedia.org/wiki/Template:Cite_book)}}: CS1 maint: location missing publisher ([link](https://en.wikipedia.org/wiki/Category:CS1_maint:_location_missing_publisher))

1. ^ [***a***](#cite_ref-bio_4-0) [***b***](#cite_ref-bio_4-1) [***c***](#cite_ref-bio_4-2) Warren, John (1830). ["Biographical Sketch of the late Col. Lambton, Superintendent of the Trigonometrical Survey of India"](https://archive.org/stream/GleaningsInScience2/Gleanings_in_Science%202#page/n105/mode/1up). *Gleanings in Science*. **15**: 73–82.

1. **[^](#cite_ref-5)** Markham notes from his name that he was probably from the county of Durham and it is known that he spent early life at Darlington.

1. ^ [***a***](#cite_ref-FOOTNOTEChichester1892_6-0) [***b***](#cite_ref-FOOTNOTEChichester1892_6-1) [Chichester 1892](#CITEREFChichester1892).

1. **[^](#cite_ref-7)** [*The Life of General, The Right Honourable Sir David Baird, Bart. Volume 1*](https://archive.org/stream/lifegeneralrigh00hookgoog#page/n212/mode/2up). London: Richard Bentley. 1832. pp. 189–190.

1. **[^](#cite_ref-8)** Anonymous (1831). "Colonel Lambton's Survey of India". *The Asiatic Journal and Monthly Register for British and Foreign India, China, and Australasia*. **5**: 312.

1. ^ [***a***](#cite_ref-bangalore_9-0) [***b***](#cite_ref-bangalore_9-1) [***c***](#cite_ref-bangalore_9-2) Lambton, Brigade Major (1803). ["An account of a method for extending a geographical survey across the peninsula of India"](https://www.biodiversitylibrary.org/page/29423815). *Asiatic Researches*. **7**: 312–335.

1. ^ [***a***](#cite_ref-earthshape_10-0) [***b***](#cite_ref-earthshape_10-1) Butterfield, Arthur D. (1906). [*A history of the determination of the figure of the earth from Arc measurements*](https://archive.org/stream/ahistorydetermi00buttgoog#page/n124/mode/2up). The Davis Press. pp. 112–120.

1. **[^](#cite_ref-11)** Warren, John (1809). ["An account of the experiments made in the Mysore Country in the war of 1804 to investigate the effects of Terrestrial Refraction"](https://www.biodiversitylibrary.org/page/29572617). *Transactions of the Asiatic Society*. **9**: 1–23.

1. **[^](#cite_ref-12)** Keay:68-70.

1. **[^](#cite_ref-13)** Edney, Matthew H. (2009). *Mapping an Empire: The Geographical Construction of British India, 1765-1843*. University of Chicago Press. pp. 159–160.

1. **[^](#cite_ref-14)** Roy, Rama Deb (1986). ["The Great Trigonometrical Survey of India in a historical perspective"](http://www.dli.gov.in/data_copy/upload/INSA/INSA_1/20005b5b_22.pdf) (PDF). *Indian Journal of History of Science*. **21** (1): 22–32.

1. ^ [***a***](#cite_ref-peninsula_15-0) [***b***](#cite_ref-peninsula_15-1) Lambton, William (1811). ["An account of the Trigonometrical Operations in crossing the peninsula of India, and connecting Fort St. George with Mangalore"](https://archive.org/stream/asiaticresearche10asia#page/n307/mode/2up). *Asiatic Researches; or Transactions of the Society Instituted in Bengal for Inquiring into the History and Antiquities*: 290–384.

1. **[^](#cite_ref-16)** "The Great Trigonometrical Survey of India". *Van Nostrand's Eclectic Engineering Magazine*. Vol. 3. New York: [David Van Nostrand](/source/David_Van_Nostrand). 1870. p. 300.

1. **[^](#cite_ref-17)** ["bone, v.3"](https://www.oed.com/search/dictionary/?q=bone%2C+v.3). *[Oxford English Dictionary](/source/Oxford_English_Dictionary)* (online ed.). Oxford University Press. (Subscription or [participating institution membership](https://www.oed.com/public/login/loggingin#withyourlibrary) required.)

1. **[^](#cite_ref-18)** Warren, John (1809). ["An account of experiments made in the Mysore country, in the year 1804, to investigate the effects of terrestrial refraction"](https://archive.org/stream/asiaticresearche09asia#page/n11/mode/2up). *Asiatic Researches*. **9**: 1–15.

1. **[^](#cite_ref-19)** ["Lists of Royal Society Fellows"](http://www.royalsoc.ac.uk/page.asp?id=1727). Retrieved 15 December 2006.

1. **[^](#cite_ref-20)** Francis, W. (1908). [*Madras District Gazetteers. The Nilgiris*](https://archive.org/stream/NilgirisFrancis/Untitled#page/n15/mode/2up/). Madras: Government Press. p. 5.

1. **[^](#cite_ref-21)** [Extract from *The Hindu*. 18 September 2003](https://www.geospatialworld.net/news/remembering-a-master-cartographer-lambton/)

## References

- John Keay. 2000. *The Great Arc*. London: HarperCollins. [ISBN](/source/ISBN_(identifier)) [0-00-257062-9](https://en.wikipedia.org/wiki/Special:BookSources/0-00-257062-9).

- Chichester, Henry Manners (1892). ["Lambton, William"](https://en.wikisource.org/wiki/Dictionary_of_National_Biography,_1885-1900/Lambton,_William). In [Lee, Sidney](/source/Sidney_Lee) (ed.). *[Dictionary of National Biography](/source/Dictionary_of_National_Biography)*. Vol. 32. London: [Smith, Elder & Co](/source/Smith%2C_Elder_%26_Co).

## External links

- [Trigonometrical survey of India (Expenses and summary report to House of Commons)](http://dspace.gipe.ac.in/xmlui/handle/10973/33130)

- [Overlay of Lambton's triangulations in peninsular India](https://warper.wmflabs.org/mosaics/13)

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Adapted from the Wikipedia article [William Lambton](https://en.wikipedia.org/wiki/William_Lambton) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/William_Lambton?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.