mathematics

Johannes von Gmunden

Johannes von Gmunden 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 von Gmunden rather than just read about it. In short: Johannes von Gmünd is also the name of a 14th-century architect, see Basel Münster. Johannes von Gmunden (Latin: Johannes de Gamundia; c. 1380/84 – February 23, 1442) was a German astronomer, mathematician and humanist.

Key takeaways

Johannes von Gmunden 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 von Gmunden to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Johannes von Gmunden from memory before moving on to harder problems.

Reference excerpt

Johannes von Gmünd is also the name of a 14th-century architect, see Basel Münster.

Johannes von Gmunden (Latin: Johannes de Gamundia; c. 1380/84 – February 23, 1442) was a German astronomer, mathematician and humanist.

Biography Johannes von Gmunden received the degree of a Master of Arts at the University of Vienna in 1406. From 1408, he was a lecturer at Vienna, lecturing on Aristotle's Physics (1408) and Meteora (1409, 1411), Peter of Spain (1410) and Algorismus de minutiis (1412). He fell seriously ill in 1412. In 1415 and 1416 studied theology, completing a Bachelor of Theology in 1416. He continued lecturing only in 1419, on algorismus de integris. From 1420, Johannes was permitted to restrict his teaching to the specialized field of the mathematics of astronomy, focusing on Euclid's Elements and the Sphaera materialis of John Holywood. With the aid of students (Weidler's 1741 Historia astronomiae names Georg Pruneck of Ruspach, Georg of Neuenburg, Johannes Schinkel and Johannes Feldner) he compiled voluminous astronomical tables. In 1425, he was elected canon at St. Stephen's Cathedral. Georg von Peuerbach succeeded him at Vienna University in 1450. John's origins are somewhat disputed. He was probably born in Gmunden, Upper Austria, but there were also suggestions connecting him with Gmünd, Lower Austria, or that he was a Swabian from Schwäbisch Gmünd who studied in Ulm in his youth, based on a document written at Ulm in 1404 by one "Johannes Wissbier de Gamundia".

Legacy Asteroid 15955 Johannesgmunden is named after him.

Works Astrolabii qui primi mobilis motus deprehendur canones (1515)

See also List of Roman Catholic scientist-clerics BnF Latin 7478

Notes

References John Mundy, John of Gmunden, Isis, The History of Science Society (1943).

Further reading P. Uiblein, Johannes von Gmunden, in: Beiträge zur Wiener Diözesangeschichte 15, 1974 E. Prillinger (Hrsg.): Die Zeit kommt vom Himmel: von der Astronomie zum Kalender. Zum Gedächtnis Johannes von Gmunden, 1384-1442, 1984. Helmuth Grössing: "Johannes von Gmunden in seiner Zeit", In: Mitteilungen der Österreichischen Gesellschaft für Geschichte der Naturwissenschaften 3-4 (1985) pp. 66-72 Ralf Kern. "Wissenschaftliche Instrumente in ihrer Zeit", Band 1: "Vom Astrolab zum mathematischen Besteck". p. 197.

Worked examples

Example 1 — a first encounter with Johannes von Gmunden

Start with the simplest possible case. Write down what Johannes von Gmunden 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 von Gmunden 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 von Gmunden 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 von Gmunden

In research: Johannes von Gmunden 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 von Gmunden 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 von Gmunden is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1380 births, 1442 deaths, 15th-century Austrian astronomers, so understanding it makes those chapters shorter.
In everyday life: Look for Johannes von Gmunden 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 von Gmunden in 20 minutes

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

Frequently asked questions

What is Johannes von Gmunden in simple terms?

Johannes von Gmünd is also the name of a 14th-century architect, see Basel Münster. Johannes von Gmunden (Latin: Johannes de Gamundia; c. 1380/84 – February 23, 1442) was a German astronomer, mathematician and humanist.

Why does Johannes von Gmunden 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 von Gmunden?

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 von Gmunden.