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John Greaves

John Greaves 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 John Greaves rather than just read about it. In short: John Greaves (1602 – 8 October 1652) was an English mathematician, astronomer and antiquarian. Education Educated at Balliol College, Oxford, he was elected a Fellow of Merton College in 1624.

John Greaves — main illustration
John Greaves — illustration

Key takeaways

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

Reference excerpt

John Greaves (1602 – 8 October 1652) was an English mathematician, astronomer and antiquarian.

Education Educated at Balliol College, Oxford, he was elected a Fellow of Merton College in 1624. He studied Persian and Arabic, acquired a number of old books and manuscripts for archbishop William Laud (some still in Merton College Library), and wrote a treatise (in Latin) on the Persian language. He travelled in Italy and the Levant from 1636 to 1640 and made a survey of the Great Pyramid of Giza. He was Gresham Professor of Geometry at Gresham College, London, and Savilian professor of astronomy at Oxford University, and collected astrolabes and astronomical measuring devices (now in the Museum of the History of Science, Oxford). He was particularly interested in the study of weights and measures, and wrote a treatise on the Roman foot and denarius, and was a keen numismatist. In 1645 he attempted a reform of the Julian calendar, which was not adopted. During the English Civil War he supported Charles I, who stayed at Merton College while in Oxford, but lost his academic positions at Oxford in 1647 through the animosity of Nathaniel Brent, Warden of Merton College and a Parliamentarian.

Biography

Early life He was born in Colemore, near Alresford, Hampshire. He was the eldest son of John Greaves, rector of Colemore, and Sarah Greaves. His brothers were Nicholas Greaves, Thomas Greaves and Sir Edward Greaves, physician to Charles II.

His father ran a school for sons of the neighbouring gentry, where Greaves began his education. Aged 15, he went to Balliol College, Oxford between 1617–1621, gaining a B.A. degree. In 1624 he was the first of five newly elected Fellows of Merton College, becoming M.A. in 1628. He began to study astronomy and oriental languages, and especially the works of the ancient eastern astronomers. In 1630 Greaves was chosen Gresham Professor of Geometry at Gresham College, London. Through his predecessor, Peter Turner, he later met archbishop William Laud, the chancellor of Oxford University and Visitor (patron) of Merton College. Laud was keen to make English editions of Greek and Arabic authors, and Greaves' later travels abroad involved collecting manuscripts and books for presentation to his new patron.

Travels in Italy

Greaves enrolled at University of Leyden in 1633, where he became friends with Jacob Golius, professor of Arabic at Leyden. He enrolled at the University of Padua in 1635 along with George Ent, meeting the Dane Johan Rode (John Rhodius), an expert on ancient weights and measures, who also made a commentary on Celsus. A brief return to England was followed by a second European journey; in 1636 he sailed via Livorno (Leghorn) to Rome, dining with Ent on 5 October at the English College, Rome; he also met William Harvey, who was entertained at the college on the 12th, Gasparo Berti, Lucas Holstenius and Athanasius Kircher. Probably in the same month he met and consulted with the Earl of Arundel's art-collecting agent, William Petty (who dined at the college on 14 October), on the Earl's attempted acquisition of the Obelisk of Domitian, then still lying broken in the Circus of Maxentius. Though "now it is broken into 5 stones", he measured these and including a sketch of the obelisk as hypothetically repaired in his almanac-notebook (Bodleian Library Savile MS 49,1). Though Arundel paid a 60 crown deposit for the obelisk, pope Urban VIII vetoed its export and it was erected by his successor Innocent X above Bernini's Fountain of the Four Rivers in the Piazza Navona. Greaves toured the Catacombs and made drawings of the Pantheon and Pyramid of Cestius. During his stay in Rome he instituted inquiries into the ancient weights and measures that are among the early classics of metrology.

Travels in the Levant

In 1637 he made a journey to the Levant, one intention being to fix the latitude of Alexandria where Ptolemy had made his astronomical observations. He sailed from England to Livorno in the company of Edward Pococke; after a brief visit to Rome, he arrived in Istanbul (Constantinople) around April 1638. There he made the acquaintance of the English ambassador Sir Peter Wyche. He procured various manuscripts there, including a copy of Ptolemy's Almagest ("the fairest work I ever saw"). Greaves ended up owning two copies of the Almagest. He was going to have visited the many monastic libraries at Mount Athos, in order to make a catalogue of their MSS and unprinted books. Athos was normally open only to members of the Orthodox church, but thanks to a special dispensation from the Patriarch of Constantinople Cyril Lucaris, Greaves would have had access; but the execution of the patriarch by strangulation in June 1638 for treason against Sultan Murad IV prevented his journey. Instead, Greaves continued on to Alexandria, where he collected a number of Arabic, Persian and Greek manuscripts. He was an inveterate note-taker, making countless observations in notebooks and on blank pages of other books he bought; he also visited Cairo twice, and made a more accurate survey of the pyramids of Egypt than any traveller who had preceded him. He returned to England in 1640.

Calendar reform On the death of John Bainbridge in 1643, Greaves was appointed as Savilian professor of astronomy and senior reader of the Linacre lecture at Oxford, but he was deprived of his Gresham professorship for having neglected its duties. In 1645 he essayed a reformation of the Julian calendar; but although his plan of omitting the bissextile day (29 February) for the next 40 years was approved by the king, the matter was dropped owing to the turbulent times. The Gregorian calendar was not adopted in Britain until 1752.

Ejection from Oxford

… excerpt ends here. Continue reading the full article.

Illustrations

John Greaves illustration
John Greaves: William Laud, patron of Merton College
William Laud, patron of Merton College
John Greaves: The Obelisk of Domitian, now restored in the Piazza Navona
The Obelisk of Domitian, now restored in the Piazza Navona
John Greaves: The Great Pyramid of Khufu, surveyed by Greaves in around 1639
The Great Pyramid of Khufu, surveyed by Greaves in around 1639
John Greaves: The front quadrangle of Merton College
The front quadrangle of Merton College

Worked examples

Example 1 — a first encounter with John Greaves

Start with the simplest possible case. Write down what John Greaves 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 John Greaves 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 John Greaves 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 John Greaves

In research
John Greaves 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 John Greaves 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
John Greaves is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1602 births, 1652 deaths, 17th-century English astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for John Greaves 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 John Greaves in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what John Greaves 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 John Greaves out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is John Greaves in simple terms?

John Greaves (1602 – 8 October 1652) was an English mathematician, astronomer and antiquarian. Education Educated at Balliol College, Oxford, he was elected a Fellow of Merton College in 1624.

Why does John Greaves 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 John Greaves?

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 John Greaves.

Tags

  • 1602 births
  • 1652 deaths
  • 17th-century English astronomers
  • 17th-century English mathematicians
  • Academics of Gresham College
  • Alumni of Balliol College, Oxford
  • English Anglicans
  • English book and manuscript collectors
  • English expatriates in the Dutch Republic
  • English numismatists
  • English orientalists
  • Expatriates in the Ottoman Empire

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