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Patrick d'Arcy

Patrick d'Arcy 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 Patrick d'Arcy rather than just read about it. In short: Patrick d'Arcy (27 September 1725 – 18 October 1779) was an Irish mathematician born at Kiltullagh House, near Kiltullagh, County Galway in the west of Ireland. His family, who were Catholics, suffered under the penal laws.

Patrick d'Arcy — main illustration
Patrick d'Arcy — illustration

Key takeaways

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

Reference excerpt

Patrick d'Arcy (27 September 1725 – 18 October 1779) was an Irish mathematician born at Kiltullagh House, near Kiltullagh, County Galway in the west of Ireland. His family, who were Catholics, suffered under the penal laws. In 1739, d'Arcy was sent abroad by his parents to an uncle in Paris. He was tutored in mathematics by Jean-Baptiste Clairaut, and became a friend of Jean-Baptiste's son, Alexis-Claude Clairaut, (Alexis Clairaut), who was a brilliant young mathematician. D'Arcy made original contributions to dynamics. He is best known for his part in the discovery of the principle of angular momentum, in a form which was known as "the principle of areas," which he announced in 1746. See the article on areal velocity. D'Arcy also had an illustrious military career in the French army. He obtained the title of "Count" in the French nobility. He was a generous patron of Irish refugees in France. In addition to his contributions to dynamics, he performed research on artillery and on electricity. D'Arcy was elected to the Academie Royale des Sciences in 1749. In 1768, the Academie published a 1765 paper by D'Arcy on the duration of visual impressions. He had built a kind of mill in his garden, which would whirl a burning coal around, and measured the duration of one rotation when it was spinning just fast enough to give the impression of a full fiery circle, as seen in the dark from a circa 50 meter distance. With the collaboration of an observer with better eyesight than D'Arcy, the mean duration came to 0.13 seconds. D'Arcy planned further experiments to measure the suspected differences between individuals, colors, viewing distances and light intensity of objects. D'Arcy's experiments relate to theories of persistence of vision that were popularised with the introduction of philosophical toys like the thaumatrope in the 19th century, and the subsequent development of cinematography. However, many historians have ignored D'Arcy and other early researchers, giving in to some nationalistic prejudice to champion some other "great man" from nationalistic prejudice, or to the tendency to produce a more coherent chronological narrative. D'Arcy died from cholera in Paris in October 1779. There is a copy of a portrait of d'Arcy in Wade (1997), [1], which was found in Charbonnier (1928).

References C.S. Gillmor, "D'Arcy, Patrick," Dictionary of Scientific Biography, Vol. III, pp. 561–2, Scribner's, New York (1970). http://www.iol.ie/~mfinn/kiltullaghho.html M. le Chevalier D'Arcy, "Principe Géneral de Dynamique,"Mémoires de l'Académie des Sciences de Paris, 1747, pp. 348–356. J. Casey, "Areal Velocity and Angular Momentum for Non-Planar Problems in Particle Mechanics," American Journal of Physics, Vol. 75, pp. 677–685, 2007.

M. le Chevalier D'Arcy, "Sur la Durée de la Sensation de La vue," Mémoires de l'Académie des Sciences de Paris, pp. 439–451, 1765. N.J. Wade, Guest Editorial, Perception, Vol. 26, 1997, [2]. P.J. Charbonnier, Essais sur l'Histoire de la Balistique, Société d'Éditions Géographiques, Paris (1928)

Illustrations

Patrick d'Arcy illustration

Worked examples

Example 1 — a first encounter with Patrick d'Arcy

Start with the simplest possible case. Write down what Patrick d'Arcy 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 Patrick d'Arcy 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 Patrick d'Arcy 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 Patrick d'Arcy

In research
Patrick d'Arcy 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 Patrick d'Arcy 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
Patrick d'Arcy is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1725 births, 1779 deaths, 18th-century Irish mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Patrick d'Arcy 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 Patrick d'Arcy in 20 minutes

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

Frequently asked questions

What is Patrick d'Arcy in simple terms?

Patrick d'Arcy (27 September 1725 – 18 October 1779) was an Irish mathematician born at Kiltullagh House, near Kiltullagh, County Galway in the west of Ireland. His family, who were Catholics, suffered under the penal laws.

Why does Patrick d'Arcy 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 Patrick d'Arcy?

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 Patrick d'Arcy.

Tags

  • 1725 births
  • 1779 deaths
  • 18th-century Irish mathematicians
  • Deaths from cholera in France
  • French Army personnel
  • Irish physicists
  • Military personnel from County Galway
  • Scientists from County Galway

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