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astronomy

John Hellins

John Hellins is a astronomy 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 Hellins rather than just read about it. In short: This subject should not be confused with his grandson John Hellins, 1829–1887, clergyman and entomologist. John Hellins FRS (c. 1749 – 5 April 1827) was a British autodidact, schoolteacher, mathematician, astronomer and country parson.

John Hellins — main illustration
John Hellins — illustration

Key takeaways

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

Reference excerpt

This subject should not be confused with his grandson John Hellins, 1829–1887, clergyman and entomologist. John Hellins FRS (c. 1749 – 5 April 1827) was a British autodidact, schoolteacher, mathematician, astronomer and country parson.

Early years Hellins was born in Devon c. 1749, the son of a poor family, and the parish apprenticed him to a cooper. He became a schoolteacher and through hard work and patronage became assistant to Nevil Maskelyne, the Astronomer Royal in 1773.

Service as priest Hellins went on to become a clergyman, serving as a curate at Constantine, Kerrier (1779–83) and afterwards at Greens Norton, near Towcester. In 1789 he was entered as a 'ten-year man' at Trinity College, Cambridge, and eventually graduated BD in 1800. In 1790 he was presented to the vicarage of Potterspury in Northamptonshire. On 10 November 1794 he married Anne Brock of North Tawton. He founded the village school in Potterspury: today the John Hellins Primary School bears his name.

Recognition of his scientific contribution Hellins' mathematical and astronomical learning was noted. He became a Fellow of the Royal Society in 1796. Three years later (1799), he was awarded the Copley Medal largely for his paper on computing the perturbations of planets.

Analytical Institutions Hellins supervised the translation from Italian of the Instituzioni analitiche ad uso della gioventù italiana by Maria Gaetana Agnesi, which was published in 1801 by Taylor and Wilks, London as Analytical Institutions in Four Books

Davies Gilbert's eulogy The Gentleman's Magazine in 1828, printed the eulogy on Hellins's life and achievements, given at a meeting of the Royal Society, by Davies Gilbert, its president:

One of those extraordinary men, who, deprived of early advantages, have elevated themselves, by the force of genius of industry, to a level above most persons blessed with regular education. In 1787 he edited The Young Algebracist's Companion. In 1788, he published Mathematical Essays, on several subjects and in 1802 in two volumes, The Analytical Institutions, originally written in Italian, by Maria Gaetana Agnesi, translated by John Colson. Taking orders, Hellins was for some time curate of Constantine in Cornwall and, afterwards, of Greens Norton, Northamptonshire, but in 1790 he was presented by the Earl Bathurst to the vicarage of Potterspury in Northamptonshire. He was elected a Fellow of the Royal Society in 1796, and in 1800 took the degree of BD at Trinity College, Cambridge. Hellins at one time computed the Nautical Almanac. He later assisted at Greenwich and, furnished William Windham with calculations and tables on which to base his new military system, as Minister of War, in 1806. Hellins applied himself also branches of pure mathematics. Nine communications from him appeared in the Philosophical Transactions:

On the summation of series. On the conversion of slowly-converging series into others of swifter convergency. On their application to the calculation of logarithms, and to the verifying of circular area. On the roots of equations. And in 1798,

On method of computing with increased facility the planetary perturbations. For the last he was honoured with the Copley Medal. Hellins also occasionally furnished mathematical articles to the British Critic, from the year 1795 to 1814. They included:

On Mr. Wales' Method of finding the Longitude, Vol. 6. p. 413. On Bishop Horsley's Mathematical Treatises, Vol. 21. p. 272. On Donna Agnesi's Analytical Institutions, of which he superintended the publication, Vol. 23. p. 143; Vol. 24. p. 653; and 25. p. 141. On Keith's Trigonometry, Vol. 31. p. 489. On F. Baily's work, on the Doctrine of Interest and Annuities, Vol. 38. p. 622, and Vol. 43. p. 502. When the first series of the British Critic closed, the connection with Hellins with the work is supposed to have ceased. Hellins retired to the small living of Pottersbury in Northamptonshire. He married Miss Anne Brock, a Devonshire lady, who survived him but a short time, and by whom he left an only son, William.

Death He died in Potterspury 5 April 1827, leaving one son (William Brock Hellins) by his wife Anne. In the North Aisle of the parish church of St. Nicholas is a small tablet of white marble, inscribed:

References

Further reading John Hellins: R. E. Anderson, 'Hellins, John (d. 1827)’, rev. Adrian Rice,Link to article in ODNB accessed 30 May 2007. William Wales: E. I. Carlyle, 'Wales, William (bap. 1734, d. 1798)’, rev. Derek Howse, Link to article in ODNB accessed 20 August 2007 Thomas Keith: W. A. J. Archbold, 'Keith, Thomas (bap. 1759, d. 1824)’, rev. Ruth Wallis, Link to article in ODNB, accessed 20 August 2007 William Beloe: Antonia Forster, 'Beloe, William (1758–1817)’, Link to article in ODNB accessed 21 August 2007. Beloe was one of the proprietors of The British Critic.

Illustrations

John Hellins: Portrait of John Hellins (1749-1827), British mathematician.
Portrait of John Hellins (1749-1827), British mathematician.

Worked examples

Example 1 — a first encounter with John Hellins

Start with the simplest possible case. Write down what John Hellins claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Hellins 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 Hellins 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 Hellins

In research
John Hellins appears in astronomy 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 Hellins 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 Hellins is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1749 births, 1827 deaths, 18th-century British astronomers, so understanding it makes those chapters shorter.
In everyday life
Look for John Hellins 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 Hellins in 20 minutes

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

Frequently asked questions

What is John Hellins in simple terms?

This subject should not be confused with his grandson John Hellins, 1829–1887, clergyman and entomologist. John Hellins FRS (c. 1749 – 5 April 1827) was a British autodidact, schoolteacher, mathematician, astronomer and country parson.

Why does John Hellins matter?

Because it connects several astronomy 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 Hellins?

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 Hellins.

Tags

  • 1749 births
  • 1827 deaths
  • 18th-century British astronomers
  • 18th-century English Anglican priests
  • 19th-century English Anglican priests
  • British fellows of the Royal Society
  • Clergy from Devon
  • Recipients of the Copley Medal
  • Schoolteachers from Devon

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