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William Leybourn

William Leybourn is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand William Leybourn rather than just read about it. In short: William Leybourn (1626—1716) was an English mathematician and land surveyor, author, printer and bookseller. Career as a printer During the late 1640s Robert Leybourn's press in Monkswell Street near Cripplegate, London was occupied with books and pamphlets of a political, martial and millenarian nature.

William Leybourn — main illustration
William Leybourn — illustration

Key takeaways

  • William Leybourn belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect William Leybourn to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of William Leybourn from memory before moving on to harder problems.

Reference excerpt

William Leybourn (1626—1716) was an English mathematician and land surveyor, author, printer and bookseller.

Career as a printer During the late 1640s Robert Leybourn's press in Monkswell Street near Cripplegate, London was occupied with books and pamphlets of a political, martial and 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 of Edmund Bolton's historical poem London, King Charles his Augusta, or City Royal of 1648. He printed Joseph Mede'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, 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'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'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 (in which almost the entire second edition of Wing's Geodætes Practicus, 1666, was incinerated), after which William moved to Northcott in Southall, Middlesex.

Career as an author In 1648, Leybourn wrote Urania Practica with Vincent Wing, the first substantial compendium of astronomy 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 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 decimals 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 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, 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 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. The trust retains that emblem to this day.

References

Illustrations

William Leybourn: A portrait of William Leybourn, from "La Science de l'arpenteur : dans toute son etendue", by Dupain de Montesson
A portrait of William Leybourn, from "La Science de l'arpenteur : dans toute son etendue", by Dupain de Montesson
William Leybourn: Maidenhead and Wrastler's Court, drawn by William Leybourn, April 1683
Maidenhead and Wrastler's Court, drawn by William Leybourn, April 1683

Worked examples

Example 1 — a first encounter with William Leybourn

Start with the simplest possible case. Write down what William Leybourn claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to William Leybourn before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about William Leybourn ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of William Leybourn

In research
William Leybourn appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses William Leybourn in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
William Leybourn is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1626 births, 1716 deaths, 17th-century English mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for William Leybourn outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study William Leybourn in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what William Leybourn means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain William Leybourn out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is William Leybourn in simple terms?

William Leybourn (1626—1716) was an English mathematician and land surveyor, author, printer and bookseller. Career as a printer During the late 1640s Robert Leybourn's press in Monkswell Street near Cripplegate, London was occupied with books and pamphlets of a political, martial and millenarian n…

Why does William Leybourn matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study William Leybourn?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on William Leybourn.

Tags

  • 1626 births
  • 1716 deaths
  • 17th-century English mathematicians
  • English printers
  • English surveyors
  • Mathematicians from London

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