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Philbert Maurice d'Ocagne

Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne rather than just read about it. In short: Philbert Maurice d'Ocagne (25 March 1862 – 23 September 1938) was a French engineer and mathematician. He founded the field of nomography, the graphic computation of algebraic equations, on charts that he called nomograms.

Philbert Maurice d'Ocagne — main illustration
Philbert Maurice d'Ocagne — illustration

Key takeaways

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

Reference excerpt

Philbert Maurice d'Ocagne (25 March 1862 – 23 September 1938) was a French engineer and mathematician. He founded the field of nomography, the graphic computation of algebraic equations, on charts that he called nomograms.

Biography Philbert Maurice d'Ocagne was born in Paris on 25 March 1862. He attended high school at the Lycée Fontanges school in Paris and studied at Chaptal college. In 1877, he published his first mathematical work. In 1880, he entered the École Polytechnique. He published many articles on math. Starting in 1885, he served for six years as an engineer, supporting waterworks projects in Rochefort and Cherbourg and then worked at Seine-et-Oise at the residence of Pontoise. From 1882, he continued to publish articles on mathematics in the French Academy of Sciences and major journals, including Journal of the École Polytechnique, Bulletin de la Société Mathématique de France, Acta Mathematica, Archiv der Mathematik und Physik, and American Journal of Mathematics. He became a tutor (répétiteur) at the École Polytechnique in 1893 and then in 1894 became a professor at the École Nationale des Ponts et Chaussées. In 1891, he began publishing papers on nomography. In 1901, he was appointed deputy director of general survey of France. Ten years later, he became chief of maps and plans and precision instruments for the Ministry of Public Works. He was appointed chief engineer in 1908. In 1912 he was appointed professor of geometry at the École Polytechnique, and became Inspector General of roads and bridges in 1920. In 1893, he joined the faculty of the Polytechnic School, first as instructor of astronomy and geodesy. During WWI, his techniques for finding approximate solutions to the transcendental equations of plastic deformation allowed French gunmakers to implement autofrettage on an industrial scale and boost the output of artillery pieces. In early 1912, he became chair of geometry. In 1901, he became president of the Mathematical Society of France. In 1922, he was admitted to the Academy of Sciences.

Family Originally from the province of Alençon in Normandy, his family can be traced to the 8th century. d'Ocagne's lineage came from the du Plessis family, and he used the pseudonym Philbert du Plessis in some of his scientific publications. Mortimer d'Ocagne, Maurice's father, published widely on economic and financial topics and wrote a book on French higher education: Les Grandes Ecoles de France. He also served as the drama critic for the Revue Britannique, going to the theater every night and never missing a premiere. He served as the dean of the subscribers of the Opera. He died in 1919 at the age of 98.

Awards Leconte Prize in 1892 for his work Nomographie Dalmont Prize of the Academy of Sciences (Paris) in 1894, for his mathematical work

Selected works "Sur l'évaluation graphique des moments et des moments d'inertie des aires planes" (1884) Calcul graphique et nomographie, Paris, Doin (1908)

References

Sources P. Humbert, "Maurice d’Ocagne (1862–1938)", Ciel et Terre, vol. 55, 1939, p. 108 http://adsabs.harvard.edu/full/1939C%26T....55..108H [archive]

Illustrations

Philbert Maurice d'Ocagne: Philbert Maurice d'Ocagne, French mathematician and inventor of nomography
Philbert Maurice d'Ocagne, French mathematician and inventor of nomography

Worked examples

Example 1 — a first encounter with Philbert Maurice d'Ocagne

Start with the simplest possible case. Write down what Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne

In research
Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne 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
Philbert Maurice d'Ocagne is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1862 births, 1938 deaths, Academic staff of École polytechnique, so understanding it makes those chapters shorter.
In everyday life
Look for Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne in 20 minutes

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

Frequently asked questions

What is Philbert Maurice d'Ocagne in simple terms?

Philbert Maurice d'Ocagne (25 March 1862 – 23 September 1938) was a French engineer and mathematician. He founded the field of nomography, the graphic computation of algebraic equations, on charts that he called nomograms.

Why does Philbert Maurice d'Ocagne 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 Philbert Maurice d'Ocagne?

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 Philbert Maurice d'Ocagne.

Tags

  • 1862 births
  • 1938 deaths
  • Academic staff of École polytechnique
  • French mathematicians
  • Lycée Condorcet alumni
  • Members of the French Academy of Sciences
  • Members of the Ligue de la patrie française
  • Scientists from Paris
  • École polytechnique alumni

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