astronomy

Johan Antony Barrau

Johan Antony Barrau is a astronomy 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 Johan Antony Barrau rather than just read about it. In short: Johan Antony Barrau (3 April 1873, Oisterwijk – 8 January 1953, Utrecht) was a Dutch mathematician, specializing in geometry. Barrau was educated at the Dutch Royal Naval College at Willemsoord and then at the University of Amsterdam.

Key takeaways

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

Reference excerpt

Johan Antony Barrau (3 April 1873, Oisterwijk – 8 January 1953, Utrecht) was a Dutch mathematician, specializing in geometry. Barrau was educated at the Dutch Royal Naval College at Willemsoord and then at the University of Amsterdam. From 1891 to 1898, Barrau was an officer with the Royal Netherlands Navy, later with the Netherlands Marine Corps. However, he left the service and became a mathematics teacher at a Hogere Burgerschool in Dordrecht until 1900, then in Amsterdam. In 1907 he obtained his PhD at the University of Amsterdam under the supervision of Diederik Korteweg. From 1908 to 1913 Barrau was a mathematics professor at the Delft University of Technology. He was a professor of synthetic, analytical and descriptive differential geometry at the University of Groningen from 1913 to 1928. From 1928 until his retirement at age 70, he was a professor at Utrecht University. He received the military service medal consisting of the Expedition Cross with the Atjeh clasp and was named Knight of the Order of the Netherlands Lion. Barrau published a textbook on analytical geometry and various articles in national and international journals. He was an Invited Speaker of the ICM in 1920 at Strasbourg and in 1924 at Toronto.

References

Illustrations

Worked examples

Example 1 — a first encounter with Johan Antony Barrau

Start with the simplest possible case. Write down what Johan Antony Barrau claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Johan Antony Barrau 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 Johan Antony Barrau 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 Johan Antony Barrau

In research: Johan Antony Barrau appears in astronomy 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 Johan Antony Barrau 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: Johan Antony Barrau is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1873 births, 1953 deaths, 20th-century Dutch mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Johan Antony Barrau 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 Johan Antony Barrau in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Johan Antony Barrau means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Johan Antony Barrau out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Johan Antony Barrau in simple terms?

Why does Johan Antony Barrau matter?

Because it connects several astronomy 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 Johan Antony Barrau?

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 Johan Antony Barrau.