ArticleslgStudy

mathematics

Hermann of Reichenau

Hermann of Reichenau 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 Hermann of Reichenau rather than just read about it. In short: Blessed Hermann of Reichenau or Herman the Cripple (18 July 1013 – 24 September 1054), also known by other names, was an 11th-century Benedictine monk and scholar. He composed works on history, music theory, mathematics, and astronomy, as well as many hymns.

Hermann of Reichenau — main illustration
Hermann of Reichenau — illustration

Key takeaways

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

Reference excerpt

Blessed Hermann of Reichenau or Herman the Cripple (18 July 1013 – 24 September 1054), also known by other names, was an 11th-century Benedictine monk and scholar. He composed works on history, music theory, mathematics, and astronomy, as well as many hymns. He has traditionally been credited with the composition of "Salve Regina", "Veni Sancte Spiritus", and "Alma Redemptoris Mater", although these attributions are sometimes questioned. His cultus and beatification were confirmed by the Roman Catholic Church in 1863. His feast day is September 25.

Names Hermann's name is sometimes anglicized as Herman or Latinized as Hermannus; it sometimes also appears in the older form Heriman. He is sometimes distinguished as Hermann of Vöhringen (Latin: Hermannus de Voringen; German: Hermann von Vöhringen) from his birthplace. He is better known as Hermann of Reichenau (Latin: Hermannus Augiensis; German: Hermann von Reichenau) from the location of his monastery on Reichenau Island (Latin: Augia) in Lake Constance. He was traditionally distinguished in Latin as Hermannus Contractus (French: Hermann Contract), which appears in English as "Hermann the Lame" (German: Hermann der Lahme) or "Hermann the Cripple" (French: Hermann le Contrefait).

Life Hermann, born on 18 July 1013, was a son of the Count of Altshausen. He was born deformed. Retrospective diagnoses have included cleft palate, cerebral palsy, and spina bifida; and "either amyotrophic lateral sclerosis or spinal muscular atrophy." As a result of his disease, he had great difficulty moving and could hardly speak. At age seven, he was placed in a Benedictine monastery by his parents who could no longer look after him. He grew up in the Abbey of Reichenau, an island on Lake Constance in Germany. He learned from the monks and developed a keen interest in both theology and the world around him. At twenty, Hermann entered their order as a Benedictine monk, becoming literate in several languages (including Arabic, Greek and Latin) and contributing to all four arts of the quadrivium. He wrote about history, mathematics, astronomy, and Christianity. He wrote a treatise on the science of music, several works on geometry and arithmetics, and astronomical treatises including instructions for the construction of an astrolabe which caused him to sometimes be credited as its inventor. As an historian, he wrote a detailed chronicle from the birth of Christ to his own present day, ordering them after the reckoning of the Christian era. It was later extended by his pupil Berthold of Reichenau. He was a renowned religious poet and musical composer. Among his surviving works are officia for St. Afra and St. Wolfgang. When he went blind in later life, he began writing hymns. He was famous enough that he appears to have been credited with compositions by later writers; among the works traditionally attributed to him are the Salve Regina ("Hail Queen"), Veni Sancte Spiritus ("Come Holy Spirit"), and Alma Redemptoris Mater ("Nourishing Mother of the Redeemer"). Herman died on Reichenau on 24 September 1054, aged 41. The Roman Catholic Church beatified him in 1863.

Legacy and influence Twentieth-century Russian composer Galina Ustvolskaya wrote three symphonies (namely, her second, third, and fourth) with lyrics taken from Hermann's texts.

See also List of Roman Catholic scientist-clerics

References

Further reading McCarthy, T. J. H. Music, scholasticism and reform: Salian Germany, 1024–1125 (Manchester, 2009), pp. 23–30, 62–71. ISBN 978-0719078897. The Musica of Hermannus Contractus. Edited and translated by Leonard Ellinwood. Revised with a new introduction by John L. Snyder (Rochester, NY: University of Rochester Press, 2015), xviii + 221 pp.

External links O'Connor, John J.; Robertson, Edmund F., "Hermann of Reichenau", MacTutor History of Mathematics Archive, University of St Andrews Catholic Encyclopedia Hermannus Contractus German language site with a collection of original texts Catholic Forum musicologie.org Hermannus Contractus et la théorie de la musique. Sources, éditions, bibliographie, commentaires

Illustrations

Hermann of Reichenau illustration
Hermann of Reichenau: Relics of Hermann in Altshausen, Germany
Relics of Hermann in Altshausen, Germany

Worked examples

Example 1 — a first encounter with Hermann of Reichenau

Start with the simplest possible case. Write down what Hermann of Reichenau 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 Hermann of Reichenau 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 Hermann of Reichenau 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 Hermann of Reichenau

In research
Hermann of Reichenau 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 Hermann of Reichenau 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
Hermann of Reichenau is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1013 births, 1054 deaths, 11th-century Christian monks, so understanding it makes those chapters shorter.
In everyday life
Look for Hermann of Reichenau 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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Hermann of Reichenau” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Hermann of Reichenau in 20 minutes

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

Frequently asked questions

What is Hermann of Reichenau in simple terms?

Blessed Hermann of Reichenau or Herman the Cripple (18 July 1013 – 24 September 1054), also known by other names, was an 11th-century Benedictine monk and scholar. He composed works on history, music theory, mathematics, and astronomy, as well as many hymns.

Why does Hermann of Reichenau 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 Hermann of Reichenau?

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 Hermann of Reichenau.

Tags

  • 1013 births
  • 1054 deaths
  • 11th-century Christian monks
  • 11th-century German historians
  • 11th-century German poets
  • 11th-century astrologers
  • 11th-century astronomers
  • 11th-century composers
  • 11th-century mathematicians
  • 11th-century writers in Latin
  • Blind royalty and nobility
  • Blind scholars and academics

Keep exploring