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Hertha Ayrton

Hertha Ayrton 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 Hertha Ayrton rather than just read about it. In short: Phoebe Sarah Hertha Ayrton (born Phoebe Sarah Marks; 28 April 1854 – 26 August 1923), known in her adult life as Hertha Ayrton, was an English electrical engineer, mathematician, physicist and inventor, and suffragette. She was awarded the Hughes Medal by the Royal Society for her work on electric arcs and ripple marks in sand and water.

Hertha Ayrton — main illustration
Hertha Ayrton — illustration

Key takeaways

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

Reference excerpt

Phoebe Sarah Hertha Ayrton (born Phoebe Sarah Marks; 28 April 1854 – 26 August 1923), known in her adult life as Hertha Ayrton, was an English electrical engineer, mathematician, physicist and inventor, and suffragette. She was awarded the Hughes Medal by the Royal Society for her work on electric arcs and ripple marks in sand and water.

Early life and education Ayrton was born Phoebe Sarah Marks in Portsea, Hampshire, England, on 28 April 1854. In her youth she went by the name Sarah. She was the third child of a Polish Jewish watchmaker named Levi Marks, an immigrant from Tsarist Poland; and Alice Theresa Moss, a seamstress, the daughter of Joseph Moss, a glass merchant of Portsea. Her father died in 1861, leaving Sarah's mother with seven children and an eighth expected. Sarah then took up some of the responsibility for caring for the younger children. At the age of nine, Sarah was invited by her aunts, who ran a school in northwest London, to live with her cousins and be educated with them. She was known to her peers and teachers as a fiery, occasionally crude personality. Her cousins introduced Ayrton to science and mathematics. By age 16, she was working as a governess, but she had not renounced her ambitions. Ayrton was brought up as Jewish but was agnostic by her teens. She adopted the name "Hertha" after the eponymous heroine of a poem by Algernon Charles Swinburne that criticised organised religion. It was first given to her as a nickname by her friend, the German-Jewish émigré Ottilie Blind. In 1873, Blind introduced Ayrton to Barbara Bodichon, who had co-founded Girton College, Cambridge four years prior. She would become one of Ayrton's most significant early mentors. She encouraged Ayrton to apply to Girton College and introduced Ayrton to feminist and supporter of women's education George Elliot. Elliot became fast friends with Ayrton and personally supported Ayrton's application to Girton College, Cambridge. Alongside Bodichon, fellow suffragette Helen Taylor, and Lady Louisa Goldsmid, she helped cover Ayrton's tuition fees of £92 per year alongside. Taylor paid £25 and the other three contributed the remaining sum every year. At Girton, Ayrton studied mathematics and was coached by physicist Richard Glazebrook. She also constructed a sphygmomanometer (blood pressure meter), led the choral society, founded the Girton fire brigade, and, together with Charlotte Scott, formed a mathematical club. In 1880, Ayrton passed the Mathematical Tripos, but Cambridge did not grant her an academic degree because at the time it did not award full degrees to women. Ayrton then passed an external examination at the University of London, which awarded her a Bachelor of Science degree in 1881.

Mathematics and electrical engineering work

Upon her return to London, Ayrton earned money by teaching and embroidery, ran a club for working girls, and cared for her invalid sister. She also put her mathematical skills to practical use – she taught at Notting Hill and Ealing High School, and was also active in devising and solving mathematical problems, many of which were published in "Mathematical Questions and Their Solutions" from the Educational Times. In 1884 Ayrton patented a line-divider, an engineering drawing instrument for dividing a line into any number of equal parts and for enlarging and reducing figures. The line-divider was her first major invention and, while its primary use was likely for artists for enlarging and diminishing, it was also useful to architects and engineers. Ayrton's patent application was financially supported by Louisa Goldsmid and feminist Barbara Bodichon, who together advanced her enough money to take out patents; the invention was shown at the Loan Exhibition of Women's Industries and received much press attention. Ayrton's 1884 patent was the first of many – from 1884 until her death, Ayrton registered 26 patents: five on mathematical dividers, 13 on arc lamps and electrodes, the rest on the propulsion of air. In 1884 Ayrton began attending evening classes on electricity at Finsbury Technical College, delivered by Professor William Edward Ayrton, a pioneer in electrical engineering and physics education and a fellow of the Royal Society. On 6 May 1885 she married her former teacher, and thereafter assisted him with experiments in physics and electricity. Bodichon and Goldsmid supported Ayrton's British patent application for the line-divider, and they advanced enough money to Ayrton for her to take out British and international patents. When Bodichon passed in 1891, Ayrton was deeply affected by this and greived for years aftewards. Bodichon left a legacy to Ayrton in her will, which freed up time for Ayrton to continue her original work. She hired a housekeeper and used some of the legacy to support her ageing mother. Then, she began her own investigation into the characteristics of the electric arc.

… excerpt ends here. Continue reading the full article.

Illustrations

Hertha Ayrton illustration
Hertha Ayrton: Hertha Ayrton in Bengali Prabaasi Patrika 1921
Hertha Ayrton in Bengali Prabaasi Patrika 1921
Hertha Ayrton: Fig 4 from The Origin and Growth of Ripple-mark
Fig 4 from The Origin and Growth of Ripple-mark
Hertha Ayrton: Ayrton's house at 41 Norfolk Square in Paddington received an English Heritage blue plaque in 2007.
Ayrton's house at 41 Norfolk Square in Paddington received an English Heritage blue plaque in 2007.

Worked examples

Example 1 — a first encounter with Hertha Ayrton

Start with the simplest possible case. Write down what Hertha Ayrton 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 Hertha Ayrton 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 Hertha Ayrton 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 Hertha Ayrton

In research
Hertha Ayrton 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 Hertha Ayrton 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
Hertha Ayrton is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1854 births, 1923 deaths, 19th-century British physicists, so understanding it makes those chapters shorter.
In everyday life
Look for Hertha Ayrton 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 Hertha Ayrton in 20 minutes

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

Frequently asked questions

What is Hertha Ayrton in simple terms?

Phoebe Sarah Hertha Ayrton (born Phoebe Sarah Marks; 28 April 1854 – 26 August 1923), known in her adult life as Hertha Ayrton, was an English electrical engineer, mathematician, physicist and inventor, and suffragette. She was awarded the Hughes Medal by the Royal Society for her work on electric…

Why does Hertha Ayrton 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 Hertha Ayrton?

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 Hertha Ayrton.

Tags

  • 1854 births
  • 1923 deaths
  • 19th-century British physicists
  • 19th-century British women engineers
  • 19th-century British women mathematicians
  • 19th-century English engineers
  • 19th-century English mathematicians
  • 19th-century women physicists
  • 20th-century British women mathematicians
  • 20th-century English engineers
  • 20th-century English mathematicians
  • 20th-century English physicists

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