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Julius Weisbach

Julius Weisbach 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 Julius Weisbach rather than just read about it. In short: Julius Ludwig Weisbach (10 August 1806 – 24 February 1871) was a German mathematician and engineer. He taught at the mining academy (Bergakademie) at Freiberg.

Julius Weisbach — main illustration
Julius Weisbach — illustration

Key takeaways

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

Reference excerpt

Julius Ludwig Weisbach (10 August 1806 – 24 February 1871) was a German mathematician and engineer. He taught at the mining academy (Bergakademie) at Freiberg. He taught surveying, descriptive geometry, and mineral crystal measurement.

Life and work

Weisbach was born on 10 August 1806 in Mittelschmiedeberg (now Mildenau municipality). His father was a foreman at a mill. He studied at a village school and then at Annaberg before going to the Bergakademie in Freiberg from 1822 to 1826. After that, he studied with Carl Friedrich Gauss in Göttingen and with Friedrich Mohs in Vienna. In 1831 he returned to Freiberg where he worked as mathematics teacher at the local Gymnasium. In 1833 he became teacher for Mathematics and the Theory of Mountain Machines at the Freiberg Bergakademie. In 1836 he was promoted to Professor for applied mathematics, mechanics, theory of mountain machines and so-called Markscheidekunst. He was a popular teacher and taught field surveying methods, geometry and mathematical applications. Students were impressed by his ability to write simultaneously with both hands. Weisbach wrote an influential book for mechanical engineering students, called Lehrbuch der Ingenieur- und Maschinenmechanik, which has been expanded and reprinted on numerous occasions between 1845 and 1863. Weisbach was the first to develop a method for solving orthogonal linear regression problems. He examined the physics of steam engines, thermodynamics and mechanics. He took an interest in hydraulics and refined the Darcy equation into the still widely used Darcy–Weisbach equation. Gustav Zeuner (1828–1907) was one of his students. In 1868 he was elected a foreign member of the Royal Swedish Academy of Sciences. He died on 24 February 1871 in Freiberg, at the age of 64.

Family His son Albin Weisbach became a professor of mineralogy. His daughter Maria Camilla Weisbach (1835–1908) met Edward Carl Hegeler (1835–1910) when he was studying with her father at Freiberg and later married him on 5 April, 1860. The couple settled in LaSalle, Illinois, where Hegeler had set up the Matthiessen-Hegeler Zinc Company. Their daughter Mary Hegeler, later Carus, was born on 10 January 1861, the first of ten children. Mary worked alongside her father as a young girl and was the first woman to graduate from the University of Michigan with a bachelor's degree in engineering in 1882. In 1885 she became the first woman to be legally enrolled to study at her grandfather's university, Bergakademie Freiberg, following a letter of recommendation from her cousin Clemens Winkler.

Selected publications Handbuch der Bergmaschinenmechanik (2 Bde., 1835/1836) Lehrbuch der Ingenieur- und Maschinenmechanik (3 Bde., 1845/1863) Der Ingenieur, Sammlung von Tafeln, Formeln und Regeln der Arithmetik, Geometrie und Mechanik (1848) Die neue Markscheidekunst und ihre Anwendung auf die Anlage des Rothschönberger Stollns bei Freiberg (1851) Anleitung zum axonometrischen Zeichnen (1857)

Notes

References Kurrer, Karl Eugen (2006). "Der Enzyklopädist der Technischen Mechanik des 19. Jahrhunderts – Zum 200. Geburtstag von Julius Weisbach (1806–1871)". Bautechnik (in German). 83 (12): 868–875. doi:10.1002/bate.200610076. ISSN 1437-0999. S2CID 108574382. Mikhailov, G.K. (1994). "Hydrodinamics and Hydraulics". In Ivo Grattan-Guinness (ed.). Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences. Routledge. pp. 1006–1022. ISBN 978-0-415-09239-5. Wegert, Elias; Hebisch, Udo; Lyska, Werner. "Julius Weisbach als Wegbereiter der angewandten Mathematik" (PDF). Fakultät für Mathematik und Informatik (in German). Archived from the original (PDF) on 2013-12-24. Retrieved 2016-10-22.

External links

O'Connor, John J.; Robertson, Edmund F. "Julius Weisbach". MacTutor History of Mathematics Archive. University of St Andrews. Rouse, Hunter (2008). "Weisbach, Julius Ludwig". Complete Dictionary of Scientific Biography. Retrieved 22 October 2016.

Illustrations

Julius Weisbach: Portrait of Julius Ludwig Weisbach by the painter Johann Paul Kiessling (1836-1919)
Portrait of Julius Ludwig Weisbach by the painter Johann Paul Kiessling (1836-1919)
Julius Weisbach: Monument to Weisbach in Freiberg
Monument to Weisbach in Freiberg

Worked examples

Example 1 — a first encounter with Julius Weisbach

Start with the simplest possible case. Write down what Julius Weisbach 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 Julius Weisbach 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 Julius Weisbach 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 Julius Weisbach

In research
Julius Weisbach 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 Julius Weisbach 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
Julius Weisbach is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1806 births, 1871 deaths, 19th-century German mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Julius Weisbach 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 Julius Weisbach in 20 minutes

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

Frequently asked questions

What is Julius Weisbach in simple terms?

Julius Ludwig Weisbach (10 August 1806 – 24 February 1871) was a German mathematician and engineer. He taught at the mining academy (Bergakademie) at Freiberg.

Why does Julius Weisbach 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 Julius Weisbach?

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 Julius Weisbach.

Tags

  • 1806 births
  • 1871 deaths
  • 19th-century German mathematicians
  • Engineers from Saxony
  • German fluid dynamicists
  • Members of the Royal Swedish Academy of Sciences
  • Scientists from Freiberg
  • University of Göttingen alumni

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