mathematics

Georg Simon Klügel

Georg Simon Klügel 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 Georg Simon Klügel rather than just read about it. In short: Georg Simon Klügel (August 19, 1739 – August 4, 1812) was a German mathematician and physicist. He was born in Hamburg, and in 1760 went to the University of Göttingen where he initially studied theology before switching to mathematics.

Key takeaways

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

Reference excerpt

Georg Simon Klügel (August 19, 1739 – August 4, 1812) was a German mathematician and physicist. He was born in Hamburg, and in 1760 went to the University of Göttingen where he initially studied theology before switching to mathematics. Georg Christoph Lichtenberg was a fellow student. His doctoral thesis Conatuum praecipuorum theoriam parallelarum demonstrandi recensio, published in 1763 with Abraham Gotthelf Kästner as doctoral advisor, was a study of 30 attempted proofs of the parallel postulate. It was influential at the time and much cited. Klügel edited the Hannöversche Magazin for 2 years from 1766, before becoming professor of mathematics at the University of Helmstedt. In 1788 he succeeded Wenzeslaus Johann Gustav Karsten to the chair of mathematics and physics at the University of Halle. He died in Halle in 1812. He remained in correspondence with Lichtenberg throughout his career. Klügel made an exceptional contribution to trigonometry, unifying formulae and introducing the concept of trigonometric function, (including coining the term) in his Analytische Trigonometrie 1770.

Publications Conatuum praecipuorum theoriam parallelarum demonstrandi recensio, Dissertation, 1760; Encyklopädie der gemeinnützigsten Kenntnisse ("Encyclopedia of Common Knowledge") (Berlin 1782-1806, 3 volumes); Anfangsgründe der Arithmetik (Berlin 1793, 6th edition 1819); Die gemeinnützigsten Vernunftkenntnisse (2nd edition Leipzig 1791).

Notes

External links Literatur von und über Georg Simon Klügel in the Göttingen State and University Library (German) O'Connor, John J.; Robertson, Edmund F., "Georg Simon Klügel", MacTutor History of Mathematics Archive, University of St Andrews

Illustrations

Worked examples

Example 1 — a first encounter with Georg Simon Klügel

Start with the simplest possible case. Write down what Georg Simon Klügel 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 Georg Simon Klügel 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 Georg Simon Klügel 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 Georg Simon Klügel

In research: Georg Simon Klügel 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 Georg Simon Klügel 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: Georg Simon Klügel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1739 births, 1812 deaths, 18th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Georg Simon Klügel 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 Georg Simon Klügel in 20 minutes

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

Frequently asked questions

What is Georg Simon Klügel in simple terms?

Why does Georg Simon Klügel 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 Georg Simon Klügel?

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 Georg Simon Klügel.