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Hugh Hamilton (bishop)

Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop) rather than just read about it. In short: Hugh Hamilton (26 March 1729 – 1 December 1805) was a mathematician, natural philosopher (scientist) and professor at Trinity College Dublin, and later a Church of Ireland bishop, Bishop of Clonfert and Kilmacduagh and then Bishop of Ossory. Life He was born at Knock, near Balrothery in County Dublin (now Fingal), on 26 March 1729, the eldest son of Alexander (died 1768) and Isabella Hamilton.

Hugh Hamilton (bishop) — main illustration
Hugh Hamilton (bishop) — illustration

Key takeaways

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

Reference excerpt

Hugh Hamilton (26 March 1729 – 1 December 1805) was a mathematician, natural philosopher (scientist) and professor at Trinity College Dublin, and later a Church of Ireland bishop, Bishop of Clonfert and Kilmacduagh and then Bishop of Ossory.

Life He was born at Knock, near Balrothery in County Dublin (now Fingal), on 26 March 1729, the eldest son of Alexander (died 1768) and Isabella Hamilton. His father was a solicitor and politician who represented the Killyleagh constituency in the Irish House of Commons from 1739 to 1759. Alexander's great-grandfather Hugh Hamilton migrated from Scotland to County Down in the early 17th century. The Scottish architect James Hamilton of Finnart was an ancestor. Isabella Hamilton was born Isabella Maxwell, the daughter of Robert Maxwell of Finnebrogue, Downpatrick. Hugh's siblings included George Hamilton, Baron of the Court of Exchequer (Ireland) and Charles, father of the wealthy Canadian lumber merchant and politician George Hamilton. Hamilton entered Trinity College Dublin on 17 November 1742 at the age of 13 with Thomas McDonnell as his tutor. He graduated Bachelor of Arts (BA) in 1747 and Trinity Master of Arts (MA Dubl) in 1750. He took the competitive examination for a vacant fellowship of the college in 1750, but the position was secured instead by his friend Richard Murray, who was a few years older. Two fellowships became vacant the following year and Hamilton was elected to one of them at the age of 22. He was appointed Erasmus Smith's Professor of Natural and Experimental Philosophy at Trinity College Dublin in 1759 and that same year graduated Bachelor of Divinity (BD). He was elected a Fellow of the Royal Society on 19 February 1761 and graduated Doctor of Divinity (DD) in 1762. Trinity College presented him to the rectory of Kilmacrenan in the diocese of Raphoe, County Donegal, in 1764. This was a small living in the gift of the college, for which he resigned his fellowship. He retained the Erasmus Smith's chair, however, being succeeded in that by Thomas Wilson in 1769. He resigned from Kilmacrenan in 1767 and become vicar of St. Anne's in Dublin. He then became Dean of Armagh, the chief resident cleric of St Patrick's Cathedral in Armagh, from April 1768 to 1796. Finding the existing dean's house inconvenient and poorly situated, he had a new one built in a better location just off Portadown Road, now known as Dean's Hill. The house, of three stories and a semi-basement, was built in 1772–74. The house was later sold by the church and the present owners provide bed and breakfast accommodation in it. While dean he also acted as treasurer for the infirmary or county hospital, he established Sunday schools in the districts of the parish, and he founded a charitable loan for poor tradesmen. He was also instrumental in planning a piped water supply for the town, which was later put into effect. Hamilton was one of the 38 original members of the Royal Irish Academy when it was founded in 1785. Gilbert Stuart painted his portrait in about 1790. He was promoted to Bishop of Clonfert and Kilmacduagh on 20 January 1796, without seeking it. On 24 January 1799 he was translated to Ossory, where he was bishop until 1805. He died of a fever at Kilkenny on 1 December 1805. He was buried in the graveyard of St Canice's Cathedral at Kilkenny, and there is a memorial to him inside the cathedral.

Works Hamilton wrote a mathematical treatise on conic sections called De Sectionibus Conicis: Tractatus Geometricus, published in 1758. In this book he "was the first to deduce the properties of the conic section from the properties of the cone, by demonstrations which were general, unencumbered by lemmas, and proceeding in a more natural and perspicuous order", according to writer James Wills in 1847. The work was acclaimed for its lucidity and Leonhard Euler described it as a perfect book. It was "soon adopted in all the British universities" and was translated from Latin into English as A Geometrical Treatise of the Conic Sections in 1773. He also wrote Philosophical Essays on Vapours (1767), Four Introductory Lectures on Natural Philosophy (1774), and An Essay on the Existence and Attributes of the Supreme Being (1784). His principal works were collected and republished, with a memoir, as The Works of the Right Rev. Hugh Hamilton by his eldest son, Alexander Hamilton, in two volumes in 1809.

Family Hamilton married Isabella, daughter of Hans Widman Wood of Rosmead, County Westmeath, in 1772. Isabella's mother Frances was the twin sister of Edward King, 1st Earl of Kingston. Hugh and Isabella had five sons and two daughters. They were Alexander, who was a barrister; Frances; Hans, who was rector of Knocktopher and associated with the Carrickshock incident of 1831; Isabella; Henry; George, who was a biblical scholar; and Hugh, who married Elizabeth Staples, a daughter of John Staples, a Member of Parliament. The younger Hugh was the great-grandfather of Clive Staples Lewis, better known as C. S. Lewis. Bishop Hugh Hamilton was a great-great-great-grandfather of the mathematicians John Lighton Synge and his brother Edward Hutchinson Synge. Dodgson Hamilton Madden, the High Court judge and noted scholar, was the Bishop's great-grandson.

References

Illustrations

Hugh Hamilton (bishop) illustration

Worked examples

Example 1 — a first encounter with Hugh Hamilton (bishop)

Start with the simplest possible case. Write down what Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop)

In research
Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop) 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
Hugh Hamilton (bishop) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1729 births, 1805 deaths, 18th-century Anglican bishops in Ireland, so understanding it makes those chapters shorter.
In everyday life
Look for Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop) in 20 minutes

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

Frequently asked questions

What is Hugh Hamilton (bishop) in simple terms?

Hugh Hamilton (26 March 1729 – 1 December 1805) was a mathematician, natural philosopher (scientist) and professor at Trinity College Dublin, and later a Church of Ireland bishop, Bishop of Clonfert and Kilmacduagh and then Bishop of Ossory. Life He was born at Knock, near Balrothery in County Dubl…

Why does Hugh Hamilton (bishop) 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 Hugh Hamilton (bishop)?

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 Hugh Hamilton (bishop).

Tags

  • 1729 births
  • 1805 deaths
  • 18th-century Anglican bishops in Ireland
  • 18th-century Irish mathematicians
  • 19th-century Anglican bishops in Ireland
  • Alumni of Trinity College Dublin
  • Anglican bishops of Ossory
  • Bishops of Clonfert and Kilmacduagh
  • Christian clergy from County Dublin
  • Deans of Armagh
  • Fellows of Trinity College Dublin
  • Irish fellows of the Royal Society

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