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mathematics

Olry Terquem

Olry Terquem 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 Olry Terquem rather than just read about it. In short: Olry Terquem (16 June 1782 – 6 May 1862) was a French mathematician. He is known for his works in geometry and for founding two scientific journals, one of which was the first journal about the history of mathematics.

Olry Terquem — main illustration
Olry Terquem — illustration

Key takeaways

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

Reference excerpt

Olry Terquem (16 June 1782 – 6 May 1862) was a French mathematician. He is known for his works in geometry and for founding two scientific journals, one of which was the first journal about the history of mathematics. He was also the pseudonymous author (as Tsarphati) of a sequence of letters advocating radical reform in Judaism. He was French Jewish.

Education and career Terquem grew up speaking Yiddish, and studying only the Hebrew language and the Talmud. However, after the French Revolution his family came into contact with a wider society, and his studies broadened. Despite his poor French he was admitted to study mathematics at the École Polytechnique in Paris, beginning in 1801, as only the second Jew to study there. He became an assistant there in 1803, and earned his doctorate in 1804. After finishing his studies he moved to Mainz (at that time known as Mayence and part of imperial France), where he taught at the Imperial Lycée. In 1811 he moved to the artillery school in the same city, in 1814 he moved again to the artillery school in Grenoble, and in 1815 he became the librarian of the Dépôt Central de l'Artillerie in Paris, where he remained for the rest of his life. He became an officer of the Legion of Honor in 1852. After he died, his funeral was officiated by Lazare Isidor, the Chief Rabbi of Paris and later of France, and attended by over 12 generals headed by Edmond Le Bœuf.

Mathematics Terquem translated works concerning artillery, was the author of several textbooks, and became an expert on the history of mathematics. Terquem and Camille-Christophe Gerono were the founding editors of the Nouvelles Annales de Mathématiques in 1842. Terquem also founded another journal in 1855, the Bulletin de Bibliographie, d'Histoire et de Biographie de Mathématiques, which was published as a supplement to the Nouvelles Annales, and he continued editing it until 1861. This was the first journal dedicated to the history of mathematics.

In geometry, Terquem is known for naming the nine-point circle and fully proving its properties. This is a circle that passes through nine special points of any given triangle. Karl Wilhelm Feuerbach had previously observed that the three feet of the altitudes of a triangle and the three midpoints of its sides all lie on a single circle, but Terquem was the first to prove that this circle also contains the midpoints of the line segments connecting each vertex to the orthocenter of the triangle. He also gave a new proof of Feuerbach's theorem that the nine-point circle is tangent to the incircle and excircles of a triangle. Terquem's other contributions to mathematics include naming the pedal curve of another curve, and counting the number of perpendicular lines from a point to an algebraic curve as a function of the degree of the curve. He was also the first to observe that the minimum or maximum value of a symmetric function is often obtained by setting all variables equal to each other.

Jewish activism Terquem has been called the first, most radical, and most outspoken of the major proponents of Jewish reform in France, "the enfant terrible of French Judaism". He published 27 "letters of an Israelite" under the name "Tsarphati" (a Hebrew word for a Frenchman), pushing for reforms that in his view would better assimilate Jews into modern life and better accommodate working-class Jews. The first nine of these appeared in L'Israélite Français, and the remaining 18 as letters to the editor in Courrier de la Moselle. Terquem rejected the Talmud, proposed to codify intermarriage between Jews and non-Jews, pushed to move the sabbath to Sunday, advocated using other languages than Hebrew for prayers, and fought against circumcision, regressive attitudes towards women, and the Jewish calendar. However, he had little effect on the Jewish practices of the time. Despite Terquem's calls for reform, and despite having married a Catholic woman and raised his children as Catholic, he requested that his funeral be held with all the proper Jewish rites.

References

Worked examples

Example 1 — a first encounter with Olry Terquem

Start with the simplest possible case. Write down what Olry Terquem 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 Olry Terquem 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 Olry Terquem 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 Olry Terquem

In research
Olry Terquem 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 Olry Terquem 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
Olry Terquem is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1782 births, 1862 deaths, 18th-century French Jews, so understanding it makes those chapters shorter.
In everyday life
Look for Olry Terquem 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 Olry Terquem in 20 minutes

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

Frequently asked questions

What is Olry Terquem in simple terms?

Olry Terquem (16 June 1782 – 6 May 1862) was a French mathematician. He is known for his works in geometry and for founding two scientific journals, one of which was the first journal about the history of mathematics.

Why does Olry Terquem 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 Olry Terquem?

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 Olry Terquem.

Tags

  • 1782 births
  • 1862 deaths
  • 18th-century French Jews
  • 19th-century French mathematicians
  • French historians of mathematics
  • French librarians
  • French recipients of the Legion of Honour
  • Geometers
  • Officers of the Legion of Honour

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