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mathematics

Pierre-Simon Girard

Pierre-Simon Girard 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 Pierre-Simon Girard rather than just read about it. In short: Pierre-Simon Girard (4 November 1765 – 30 November 1836) was a French mathematician and engineer, who worked on fluid mechanics. Girard was born in Caen.

Pierre-Simon Girard — main illustration
Pierre-Simon Girard — illustration

Key takeaways

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

Reference excerpt

Pierre-Simon Girard (4 November 1765 – 30 November 1836) was a French mathematician and engineer, who worked on fluid mechanics. Girard was born in Caen. A prodigy who invented a water turbine at the age of ten, he worked as an engineer at the École Nationale des Ponts et Chaussées. He was in charge of planning and construction of the Amiens canal and the Ourcq canal. He collaborated with Gaspard de Prony on the Dictionnaire des Ponts et Chaussées (Dictionary of Bridges and Highways, 1787). He wrote on fluids, and in 1798 he published a monograph, Traité analytique de la résistance des solides on beam theory, including possibly its first history, within the topic of strength of materials. The complicated beam equations were not of practical much use, since he applied Euler's non-linear theory. In 1799, he and other engineers and scientists accompanied Napoleon on his expedition to Egypt. He died in Paris, aged 71.

Important works The 1798 monograph Traite Analytique de la Resistance des solides, et des solides d'e'gale Resistance, Auquel on a joint une suite de nouvelles Experiences sur la force, et Velasticite specifique des Bois de Chine et de Sapin was reviewed by Isaac Todhunter, and his editor, Karl Pearson as follows.This work very fitly closes the labours of the 18th century. It is the first practical treatise on Elasticity; and one of the first attempts to make searching experiments on the elastic properties of beams. It is not only valuable as containing the total knowledge of that day on the subject, but also by reason of an admirable historical introduction... The work appears to have been begun in 1787 and portions of it presented to the Academie in 1792. Its final publication was delayed till the experiments on elastic bodies, the results of which are here tabulated, were concluded at Havre.

References

André Guillerme: Bâtir la ville – révolutions industrielles dans les matériaux de construction. (1995), éd. Champ Vallon. ISBN 2-87673-203-3 Antoine Picon: L'invention de l'ingenieur moderne. (1992), Presses des Ponts & Chaussées. ISBN 2-85978-178-1 Stephen Timoshenko: History of strength of materials. 1953, Nachdruck. 1983. ISBN 0-486-61187-6

Illustrations

Pierre-Simon Girard illustration

Worked examples

Example 1 — a first encounter with Pierre-Simon Girard

Start with the simplest possible case. Write down what Pierre-Simon Girard 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 Pierre-Simon Girard 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 Pierre-Simon Girard 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 Pierre-Simon Girard

In research
Pierre-Simon Girard 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 Pierre-Simon Girard 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
Pierre-Simon Girard is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1765 births, 1836 deaths, 18th-century French mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Pierre-Simon Girard 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 Pierre-Simon Girard in 20 minutes

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

Frequently asked questions

What is Pierre-Simon Girard in simple terms?

Pierre-Simon Girard (4 November 1765 – 30 November 1836) was a French mathematician and engineer, who worked on fluid mechanics. Girard was born in Caen.

Why does Pierre-Simon Girard 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 Pierre-Simon Girard?

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 Pierre-Simon Girard.

Tags

  • 1765 births
  • 1836 deaths
  • 18th-century French mathematicians
  • 19th-century French mathematicians
  • Corps des ponts
  • French civil engineers
  • French fluid dynamicists
  • French mathematician stubs
  • French scientist stubs
  • People from the Province of Normandy
  • Scientists from Caen
  • École des Ponts ParisTech alumni

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