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John Kells Ingram

John Kells Ingram 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 Kells Ingram rather than just read about it. In short: John Kells Ingram (7 July 1823 – 1 May 1907) was an Irish mathematician, economist and poet. He has been co-credited, along with John William Stubbs, with introducing the geometric concept of inversion in a circle.

John Kells Ingram — main illustration
John Kells Ingram — illustration

Key takeaways

  • John Kells Ingram 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 Kells Ingram to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of John Kells Ingram from memory before moving on to harder problems.

Reference excerpt

John Kells Ingram (7 July 1823 – 1 May 1907) was an Irish mathematician, economist and poet. He has been co-credited, along with John William Stubbs, with introducing the geometric concept of inversion in a circle.

Biography

Early life Ingram was born on 7 July 1823, at the Rectory of Templecarne (Aghnahoo), just south of Pettigo, a village in south-east County Donegal, Ireland into an Ulster Scots family. Although his ancestry was Scottish Presbyterian, Ingram's grandparents had converted to Anglicanism. His grandfather Captain John Ingram ran a linen mill and had a business as a linen bleacher in Glennane (Lisdrumhure). He was active in the Volunteer Movement and financed in 1782 a volunteer corps in the County Armagh, known as Lisdrumhure Volunteers or Mountnorris Volunteers. Ingram's father, Rev. William Ingram, a scholar at Trinity College Dublin, rector of the Church of Ireland and curate of Templecarne Parish (Diocese of Clogher), married Elizabeth Cooke in 1817. Ingram's father died in 1829 and his mother then moved with the family to Newry, to guarantee the best possible education for her five children. Ingram first went to Mr. Lyons' School in Newry from 1829 to 1837. He also attended Drogheda Grammar School. In 1840, at the age of sixteen, Ingram published sonnets in the Dublin University Magazine.

Academic career On 13 October 1837, he matriculated at Trinity College Dublin. He was elected a Scholar of the college in 1840, graduated with a BA in mathematics in 1842, and was awarded an MA in 1850. He was a member of the College Historical Society. His early scholarly publications (1842–1847) were in mathematics. He had a distinguished career at Trinity, spanning over fifty-five years, as a student, fellow and professor, successively of Oratory, English Literature, Jurisprudence and Greek, LL.D, FTCD), subsequently becoming the College Librarian and ultimately its Vice Provost. During his life, Ingram was President of the Library Association of Great Britain, co-founder of the National Library of Ireland, National Library trustee, Vice-president of the Library Association of Ireland, a member of the Royal Irish Academy, co-founder of the Dublin Statistical Society, honorary member of the American Economic Association, member of the English historical school of economics and co-founder of the Hermathena publication.

The Memory of the Dead One evening in March 1843 Ingram wrote the poem for which he is best remembered, a political ballad called "The Memory of the Dead" (better known as "Who Fears to Speak of '98"; or "Ninety Eight"), in honour of the Irish Rebellion of 1798 led by the United Irishmen. On that evening, he was in company of his like-minded friends John O'Regan, Thomas O'Regan and George Ferdinand Shaw, all fellow Protestant students at TCD. They spent the evening discussing the 1798 Rebellion when briefly Catholics and Protestants (mainly Presbyterians and Methodists) united to try to overturn the Protestant Ascendancy in Ireland from which all of them were excluded. They were stirred by the lack of regard shown for the Irish rebels of 1798 by the contemporary nationalist movement, led by Daniel O'Connell. The poem was published anonymously on 1 April 1843 in Thomas Davis's The Nation Newspaper although in fact its authorship was an open secret in Dublin. The Nation was the publication of the radical and bourgeois-radical wing of Ó Conaill's movement for "repeal" of the Act of Union between Ireland and Great Britain. Despite this poem, Ingram showed no nationalist sympathies at any time, maintaining that Ireland was not ready for self-government. "'The Memory of the Dead' was my only contribution to the 'Nation'," commented Ingram later. Nevertheless, before he died, Ingram made a manuscript copy of "Ninety Eight", proclaiming that he would always defend brave men who opposed tyranny. It was set to music for voice and piano in 1845 by John Edward Pigot. Ingram's ballad was translated into Latin by Robert Yelverton Tyrrell and into Irish by Dr. Douglas Hyde. The song became a popular Irish nationalist anthem. It is one of the best-known of Irish Republican songs and often played by the piper at Republican funerals.

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with John Kells Ingram

Start with the simplest possible case. Write down what John Kells Ingram 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 Kells Ingram 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 Kells Ingram 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 Kells Ingram

In research
John Kells Ingram 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 Kells Ingram 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 Kells Ingram is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1823 births, 1907 deaths, 19th-century Irish economists, so understanding it makes those chapters shorter.
In everyday life
Look for John Kells Ingram 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 Kells Ingram in 20 minutes

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

Frequently asked questions

What is John Kells Ingram in simple terms?

John Kells Ingram (7 July 1823 – 1 May 1907) was an Irish mathematician, economist and poet. He has been co-credited, along with John William Stubbs, with introducing the geometric concept of inversion in a circle.

Why does John Kells Ingram 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 Kells Ingram?

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 Kells Ingram.

Tags

  • 1823 births
  • 1907 deaths
  • 19th-century Irish economists
  • 19th-century Irish mathematicians
  • 19th-century Irish poets
  • Academics of Trinity College Dublin
  • Alumni of Trinity College Dublin
  • Burials at Mount Jerome Cemetery and Crematorium
  • English historical school of economics
  • Historians of economic thought
  • Librarians of the Library of Trinity College Dublin
  • People from Pettigo

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