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Petrus de Dacia (mathematician)

Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician) rather than just read about it. In short: Petrus de Dacia, also called Philomena and Peder Nattergal (Peter Nightingale), was a Danish scholar who lived in the 13th century. He worked mainly in Paris and Italy, writing in Latin.

Key takeaways

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

Reference excerpt

Petrus de Dacia, also called Philomena and Peder Nattergal (Peter Nightingale), was a Danish scholar who lived in the 13th century. He worked mainly in Paris and Italy, writing in Latin. He published a calendar of new moon dates for the years 1292-1367. In 1292, he published a book on mathematics that contained a new method for the calculation of cubic roots. He also described a mechanical instrument to predict solar and lunar eclipses as seen from Paris.

Editions Corpus Philosophorum Danicorum Medii Aevi vol. X, ed. Fritz Saaby Pedersen. Copenhagen 1983. Petri Philomeni de Dacia in Algorismum vulgarem Johannis de Sacrobosco commentarius, edited by Maximilian Curtze, year 1897. This text by Petrus Philomena de Dacia is a commentary about elementary methods in arithmetic. Its primary notability is that it has a better method for extracting cube roots (better than the pre-existing method reported by Johannes de Sacrobosco).

References Pedersen, Olaf (in: Complete Dictionary of Scientific Biography. 2008. https://www.encyclopedia.com/doc/1G2-2830903368.html) Rasch, G. (1932) Petrus de Dacia, pp. 12-15 in: Meisen, V. Prominent Danish Scientists through the Ages. University Library of Copenhagen 450th Anniversary. Levin & Munksgaard, Copenhagen

Worked examples

Example 1 — a first encounter with Petrus de Dacia (mathematician)

Start with the simplest possible case. Write down what Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician)

In research
Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician) 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
Petrus de Dacia (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 13th-century Danish people, 13th-century mathematicians, Danish mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Petrus de Dacia (mathematician) in simple terms?

Petrus de Dacia, also called Philomena and Peder Nattergal (Peter Nightingale), was a Danish scholar who lived in the 13th century. He worked mainly in Paris and Italy, writing in Latin.

Why does Petrus de Dacia (mathematician) 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 Petrus de Dacia (mathematician)?

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 Petrus de Dacia (mathematician).

Tags

  • 13th-century Danish people
  • 13th-century mathematicians
  • Danish mathematicians
  • Danish science writers
  • Danish scientific instrument makers

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