mathematics

Johannes Buteo

Johannes Buteo 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 Johannes Buteo rather than just read about it. In short: Johannes Buteo (born Jean Borrel, Latinized as Buteonis or given as Boteo, Buteon, Bateon) (c. 1485 – c. 1560) was a French mathematician and logician. Among his contributions was an attempt to calculate the supposed dimensions of Noah's Ark to fit all the world's animals.

Key takeaways

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

Reference excerpt

Johannes Buteo (born Jean Borrel, Latinized as Buteonis or given as Boteo, Buteon, Bateon) (c. 1485 – c. 1560) was a French mathematician and logician. Among his contributions was an attempt to calculate the supposed dimensions of Noah's Ark to fit all the world's animals.

Buteo was born in Dauphine or possibly Charpey and belonged to the order of St. Anthony. He studied under Oronce Fine and wrote on geometry and exposed Fine publishing a few books Opera Geometrica (1554), Logistica (1559), De quadratura circuli libri duo (1559). He died in a cloister about 1560-64 but some sources suggest he died in Canar in 1572. His contributions included a systematic way of eliminating unknowns in systems of linear equations which he demonstrated in Logistica with three equations and three unknowns.

References

Illustrations

Worked examples

Example 1 — a first encounter with Johannes Buteo

Start with the simplest possible case. Write down what Johannes Buteo 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 Johannes Buteo 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 Johannes Buteo 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 Johannes Buteo

In research: Johannes Buteo 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 Johannes Buteo 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: Johannes Buteo is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1480s births, 1560 deaths, French logicians, so understanding it makes those chapters shorter.
In everyday life: Look for Johannes Buteo 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 Johannes Buteo in 20 minutes

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

Frequently asked questions

What is Johannes Buteo in simple terms?

Why does Johannes Buteo 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 Johannes Buteo?

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 Johannes Buteo.