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William Leybourn (16261716) was an English
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and land surveyor, author, printer and bookseller.


Career as a printer

During the late 1640s Robert Leybourn's press in Monkswell Street near
Cripplegate Cripplegate was a gate in the London Wall which once enclosed the City of London. The gate gave its name to the Cripplegate ward of the City which straddles the line of the former wall and gate, a line which continues to divide the ward into tw ...
, London was occupied with books and pamphlets of a political, martial and
millenarian Millenarianism or millenarism (from Latin , "containing a thousand") is the belief by a religious, social, or political group or movement in a coming fundamental transformation of society, after which "all things will be changed". Millenarian ...
nature. He printed John Arrowsmith's sermon to the houses of parliament, ''England's Eben-ezer'' in 1645, and his ''Great Wonder in Heaven'' in 1647. In 1646 he published a pamphlet ''A Defence of Master Chaloner's Speech'', and an early edition of ''The Marrow of Modern Divinity'' attributed to Edward Fisher: in 1648 appeared ''The Differences in Scotland stil on foot'', and from 1648 an almanack or ''Moderate Intelligencer'' of military affairs entitled ''Mercurius Republicus''. Robert Leybourn gave the apparently fraudulent ascription to Sir
William Davenant Sir William Davenant (baptised 3 March 1606 – 7 April 1668), also spelled D'Avenant, was an English poet and playwright. Along with Thomas Killigrew, Davenant was one of the rare figures in English Renaissance theatre whose career spanned b ...
of Edmund Bolton's historical poem ''London, King Charles his Augusta, or City Royal'' of 1648. He printed
Joseph Mede Joseph Mede (1586 in Berden – 1639) was an English scholar with a wide range of interests. He was educated at Christ's College, Cambridge, where he became a Fellow from 1613. He is now remembered as a biblical scholar. He was also a naturalist ...
's sermon on St. Peter's prediction of the apocalypse, and a work called ''The Englishe Catholike Christian'' by one Thomas de la More, minister, followed in 1649. Into his industrious hands William Leybourn introduced the second year of his astronomical almanac, ''Speculum Anni'' for 1649, and also the important astronomical work he had written with
Vincent Wing Vincent Wing (1619–1668) was an English astrologer and astronomer, professionally a land surveyor. Life and publications Vincent Wing was born at North Luffenham, Rutland on 9 April 1619. The eldest of four sons of Vincent Wing (1587–1660) ...
, their ''Urania Practica'', together with their reply to the criticisms of Julian Shakerley. From this time forth the Leybourn press found its direction in the works of William Leybourn, and of Vincent Wing, and for a wide range of serious works of astronomy, mathematics, surveying, military matters, and the like. In 1650 was printed Richard Elton's ''The Complete Body of the Art Military'', John Wybard's ''Tactometria, seu Tetagmenomentria: or, the geometry of regulars practically proposed'', John Chatfield's ''The Trigonall Sector: the description and use thereof'' and the two parts of
Thomas Rudd Thomas Rudd (1583?–1656) was an English military engineer and mathematician. Life The eldest son of Thomas Rudd of Higham Ferrers, Northamptonshire, he was born in 1583 or 1584. He served during his earlier years as a military engineer in ...
's ''Practical Geometry'', and also John Spencer's Catalogue of the Library of Sion House, as well as Leybourn's own ''Planometria, or the Whole Art of Surveying Land'' under the pseudonym 'Oliver Wallinby'. In 1651 William Leybourn entered into a business partnership with Robert Leybourn as a printer and seller of books. Their extensive catalogue thereafter became one of the most important of its time in the publishing or re-publishing of such materials. The second and third (posthumous) editions of
Samuel Foster Samuel Foster ( 1600 – July 1652) was an English mathematician and astronomer. He made several observations of eclipses, both of the sun and moon, at Gresham College and in other places; and he was known particularly for inventing and improvi ...
's ''The Art of Dialling'' (which first appeared in 1638), with additional materials, was an early success. The press closed in 1666, following the
Great Fire of London The Great Fire of London was a major conflagration that swept through central London from Sunday 2 September to Thursday 6 September 1666, gutting the medieval City of London inside the old Roman city wall, while also extending past the ...
(in which almost the entire second edition of Wing's ''Geodætes Practicus'', 1666, was incinerated), after which William moved to Northcott in
Southall Southall () is a large suburban county of West London, England, part of the London Borough of Ealing and is one of its seven major towns. It is situated west of Charing Cross and had a population of 69,857 as of 2011. It is generally divided ...
,
Middlesex Middlesex (; abbreviation: Middx) is a Historic counties of England, historic county in South East England, southeast England. Its area is almost entirely within the wider urbanised area of London and mostly within the Ceremonial counties of ...
.


Career as an author

In 1648, Leybourn wrote ''Urania Practica'' with
Vincent Wing Vincent Wing (1619–1668) was an English astrologer and astronomer, professionally a land surveyor. Life and publications Vincent Wing was born at North Luffenham, Rutland on 9 April 1619. The eldest of four sons of Vincent Wing (1587–1660) ...
, the first substantial compendium of
astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
written in the English language. This was printed by Robert Leybourn in London. Leybourn's press also printed other books of Wing's such as ''Geodaetes Practicus''. ''Planometria, or, The Whole Art of Surveying of Land'' was a
pamphlet A pamphlet is an unbound book (that is, without a hard cover or binding). Pamphlets may consist of a single sheet of paper that is printed on both sides and folded in half, in thirds, or in fourths, called a ''leaflet'' or it may consist of a ...
written in 1650 by Leybourn and published under the pseudonym Oliver Wallinby. Leybourn expanded this into a full book, ''The Compleat Surveyor'' which was first published in 1653, by his own press. This was the first book published on the subject that did not contain an extensive argument justifying surveying. It outlined the various instruments used in surveying, and how they were employed. It remained one of the standard references in the field into the 18th century. It instructed property surveyors on the construction of property maps, and how to make the appropriate coloured inks for the maps. At this time, the use of private estate maps was starting to become fashionable, providing clients with satisfying coloured maps for their guests to view. The book also contains instructions on mathematical measures. The section on the use of Gunter's chains as a unit of length shows early use of
decimal The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
s in surveying. Leybourn later expanded and clarified this in his 1657 work ''Arithmetick, Vulgar, Decimal and Instramental''. In 1669 Leybourn authored ''The Art of Dialling'', a book on the use of sun-dials and astrolabes in determining the position of vessels at sea. The contemporary expansion of the
Royal Navy The Royal Navy (RN) is the United Kingdom's naval warfare force. Although warships were used by English and Scottish kings from the early medieval period, the first major maritime engagements were fought in the Hundred Years' War against F ...
and Merchant Marines created a significant demand for such manuals, and ''The Art of Dialling'' was well written, easy to understand and cheaply produced. Leybourn's 1693 work ''Panarithmologia, being a mirror for merchants, breviate for bankers, treasure for tradesmen, mate for mechanicks, and a sure guide for purchasers, sellers, or mortgagers of land, leases, annuities, rents, pensions, etc. ... and a constant concomitant fitted for all men's occasions.'' remained widely printed longer than any other of his works. Over twenty editions were printed, and printing remained active into the 19th century.


Career as a surveyor

Leybourn acquired a good reputation as surveyor of land, and was often hired to survey the estates of gentlemen. In 1672, six years after the
Great Fire of London The Great Fire of London was a major conflagration that swept through central London from Sunday 2 September to Thursday 6 September 1666, gutting the medieval City of London inside the old Roman city wall, while also extending past the ...
, John Ogilby hired Leybourn to lead a survey of London. Leybourn identified the need for books that explained the techniques for measuring building materials that were widely accessible, both in cost and language. This was needed for both determining the extent of the damage from the Great Fire, and for calculating the cost of repairs. It was believed that Leybourn was the designer of the emblem of the Bridge House Estates Trust, which was charged with maintaining the first stone bridge over the
River Thames The River Thames ( ), known alternatively in parts as the The Isis, River Isis, is a river that flows through southern England including London. At , it is the longest river entirely in England and the Longest rivers of the United Kingdom, se ...
. The emblem, sometimes known as the "Southwark Cross" but correctly the "Bridge House Mark" may have been adopted by Leybourn from a mark used on surveying maps to denote properties of the Bridge House in the 1550s: an earlier version in the London Museum on a stone of the Bridge is dated 1509, and the modern version can be seen in use (before Leybourn's appointment) on the City sword-rest of 1674 now in
Southwark Cathedral Southwark Cathedral ( ) or The Cathedral and Collegiate Church of St Saviour and St Mary Overie, Southwark, London, lies on the south bank of the River Thames close to London Bridge. It is the mother church of the Anglican Diocese of Southwark. ...
. The trust retains that emblem to this day.


References

{{DEFAULTSORT:Leybourn, William 1626 births 1716 deaths Mathematicians from London 17th-century English mathematicians English surveyors English printers