18th century – Women's History and More

Caroline Herschel – 18th Century Astronomer

As a girl, Caroline Herschel’s expectations were limited, but she had a quick mind and the ability to learn. Although most of what Caroline learned would be to benefit and help her brother, she went on to become a brilliant astronomer in her own right, discovering nebulae, star clusters, and eight comets.

Caroline Herschel was born March 16, 1750 in Hanover (now in Germany.) She was the fifth of six children born to Isaac Herschel and Anna Moritzen. Her parents were industrious and hard-working, her mother a housewife and her father a gardener and musician. Her mother saw no need to educate a girl, but Caroline was able to learn the basics of reading and writing, and because of the family talent for music, her father insisted that she learn to play the violin.

Caroline suffered a couple of childhood illnesses that left their mark; smallpox when she was three left her with scars and a damaged left eye; typhus at the age of ten stunted her growth, leaving her with an adult height of 4′ 3″. Her mother showed her little affection and envisioned Caroline as her housekeeper. Her father reminded her frequently that she was unlikely to find a husband because she had no fortune or beauty. She was probably looking at a bleak future.

In 1767, Caroline’s father died and her favorite brother William, who had moved to England, suggested that she come live with him. William’s intention was to make his living as a musician and to study astronomy, and he wanted Caroline to come keep his house. At first her mother refused to give up the work that Caroline did for her, but she agreed when William promised to send her the money to get a maid to make up for Caroline’s absence. So in 1772 at the age of 22, Caroline returned with her brother to England.

Telescope made for Caroline by William in 1795 (Photo: Wikipedia user Geni, source)

Even though she still kept house, Caroline’s life was completely different with her brother. She studied math for the first time, so that she could keep his household accounts. William gave her voice lessons and she learned to play the harpsichord so that she could accompany him. Soon she became well-known for her singing and began to get engagements for solos, although she refused if William couldn’t be the conductor. William also insisted that she take lessons in dancing and how to conduct herself in society. She thought many of the people she met in society shallow, but the lessons would serve her well because she and William soon came to the attention of King George III for their work in astronomy.

William’s astronomy work began to take up more and more of his time. Displeased with the telescopes available he began to build his own and was soon selling them to others. Caroline and their brother Alexander ground by hand the mirrors needed for the telescopes, and Caroline did William’s calculations, carefully cataloging his observations in the night sky.

On March 13, 1781, William spotted what he thought was a new comet, but after careful observation realized that it was a planet. His discovery of the planet Uranus brought him to the attention of the King. The next year William was made the official astronomer of King George III and received a pension of £200. Caroline was no longer just a helper, but an apprentice and would soon be credited with her own discoveries. This also brought with it more visibility in society and with the royal family. William and Caroline were often invited to Windsor, and Caroline got to know the princesses Sophia and Amelia as she patiently answered their questions about the stars.

Caroline never wanted to outshine her brother, but in 1783 while he was away she discovered 3 nebulae. Then on August 1, 1786, she discovered her first comet. This discovery brought her to the attention of the scientific community and The King gave her a small salary for her work as William’s assistant. It was only £50, but she wrote in her diary that it was the first money she had ever received that she felt she could spend on whatever she wished.

Sir William Herschel c. 1805 by James Sharples (source)

Around this time William got married and Caroline began doing more work on her own. Between 1788 and 1797, she discovered seven more comets and began work on revising Flamsteed’s star catalog. She verified the information, made corrections, and added 560 stars that she and William had observed. She submitted this catalog to The Royal Society for publication. But her most impressive and recognized work was The Reduction and Arrangement in the Form of Catalogue, in Zones, of All the Star-Clusters and Nebula Observed by Sir William Herschel in His Sweeps. For this work, the Royal Astronomical Society awarded her a Gold Medal calling it “a work of immense labor” and “an extraordinary monument to the unextinguished ardor of a lady of seventy-five in the cause of abstract science.”

The medal from the Royal Astronomical Society was awarded to her in 1828, six years after William’s death and after she had returned to Hanover. She also received medals from the King of Denmark and the King of Prussia, and in 1835, the Royal Astronomical Society bestowed honorary membership on two women for the first time, Caroline Herschel and Mary Somerville. The extract for the award stated that “the time is gone by when either feeling or prejudice, by whichever name it may be proper to call it, should be allowed to interfere with the payment of a well-earned tribute of respect.”

For Caroline, however, her crowning achievement probably came only a few months before she died. The work mentioned above was the basis for her nephew’s study of his fathers work. William’s vast undertaking, The Survey of the Heavens, was completed when his son Sir John Herschel completed and published the survey of the heavens in the southern hemisphere. She received a copy of Cape Observations just months before she died on January 9, 1848 at the age of 97.

Even in her death she was concerned for her brother’s fame. Her epitaph, which she composed, states in part “The eyes of her who is glorified were here below turned to the starry heavens. Her own discoveries of comets and her participation in the Immortal labors of her brother, William Herschel, bear witness of this to future ages.” Working with her brother, she advanced the science of astronomy and the recognition of women in science.

Resources
Women in Mathematics by Lynn Osen
Women in Science: Antiquity through the Nineteenth Century by Marilyn Bailey Ogilivie
Women in Science by H. J. Mozans

Read about other Famous Women in Math and Science

Laura Bassi – Italian Physicist (1711 – 1778)

The entrance of women into the sciences has been a long process beginning several centuries ago. It’s not easy to find these women in the 18^th century, but those that made a name for themselves did so because they were far from ordinary. Admittance into this formerly all male club seems to have begun in Italy (at least for post-Renaissance Europe,) specifically the University of Bologna where Laura Bassi became the first woman professor of physics in Europe.

Born November 29, 1711, Laura Bassi was the only child in her family to survive to adulthood. As with many (maybe most) scientifically inclined women prior to the 20^th century, she received an education because her father recognized her ability and brought tutors into their home. This was a privilege reserved for the well-to-do, if not exclusively for the aristocracy. Bassi’s father was a successful lawyer, but the family was not of the nobility.

From the age of five Laura was instructed in French, Latin, and mathematics by a cousin, and later by the family physician in philosophy, natural philosophy, metaphysics, and logic. Her abilities were known throughout the city attracting attention of people who would visit her home to meet her. Similar to the salons in France, the intellectual elite in Italy would gather in homes to discuss philosophy, literature, science, mathematics, etc. Laura seems to have been put on display in her home in much the same way Maria Agnesi was.

In 1732, in a public debate Laura presented and defended her ideas regarding Newton and the new physics. She was awarded her doctorate and offered a position teaching at the University of Bologna. This required another public examination where she was successful, becoming the first woman professor of physics in a European University. As with Maria Agnesi, there is disagreement among scholars as to the extent of her teaching responsibilities. Some think that she was limited to occasional lectures, others believe she had a full teaching load. It seems to be a matter of propriety. Lectures in public would attract both women and men, but teaching at the university would usually entail being alone in a classroom with all male students.

bassi_coin2 — A coin was minted to commemorate Bassi’s acceptance as a professor at the University of Bologna.

This situation was relieved when in 1738 she married Giovanni Guiseppe Veratti, a fellow scientist and professor. As a married woman, the university made allowances for Bassi to lecture in her home. Bassi and her husband had eight to twelve children. There is disagreement on the number of children, but baptismal records seem to support eight, five of whom survived to adulthood. Laura and her husband shared a love of science, created a laboratory in their home, and performed experiments together. Teaching from her home gave her more flexibility to perform experiments and to choose which topics she taught.

During her examination for her professorship, she attracted the attention of Cardinal Prospero Lambertini (later Pope Benedict XIV) who was impressed and extended his support to Laura in her studies. In 1745, he appointed her to an elite group of scholars known as the Benedettini in which she was the only woman. Originally intended to be a group of 24, Lambertini met with resistance when he wanted to appoint Bassi to one of the positions. He then added a twenty-fifth position for her. After Bassi’s death this seat remained vacant until the 1800s. The purpose of the Benedettini was to encourage scientific advancement in Italy. Each member was responsible for writing and presenting a paper to the pope each year. Lambertini also arranged for Bassi to have access to scholarly documents in the Vatican which were usually restricted to male scientists over the age of 24

The scientific community was small in Europe at the time and Bassi communicated with leading scientists. She appears to have been instrumental in getting Voltaire admitted to the Academy of Sciences at Bologna and I’m sure through him she would have been familiar with Emilie du Chatelet’s works on mathematics and physics. At the beginning of her career, Newton’s ideas were still new and somewhat controversial and it’s easy to believe that she may have had a hand in introducing them to Italy. Bassi’s surviving papers however, are related to compression of air, hydraulics, a couple of dissertations on mathematics, and later electricity.

Bassi took on additional teaching positions later in her life. In 1766, she assumed a position teaching physics for the Collegio Montalto, a free seminary where students were taught in professor’s homes and earned degrees in theology or law. In 1776, Bassi’s husband was an assistant to Paola Battista Balbi the Chair and Institute Professor of Experimental Physics when Balbi died leaving a vacancy. Although her husband would have been the obvious choice, Bassi petitioned to be considered for the post. It seems that her skills in mathematics made her a more logical choice and she received the appointment. When Bassi died two years later, her husband took the post and was later succeeded by their son Paolo keeping it in the family until 1796.

I had never taken notice of Laura Bassi until recently. She doesn’t appear at all in several books I have on women in science and math and where she does appear it is cursory. I’m not sure why, because she had a life long career in science. It could be because she didn’t publish major works that were accessible to a lay person. Her works were scholarly and original. Unlike Agnesi, who went on to do work among the poor and destitute after the death of her father, even though she was concerned for the poor, it wasn’t Bassi’s primary focus. And of course, Emilie Du Chatelet was a scientist, but also the lover of a famous man, Voltaire, and we all seem to love to hear about a scandalous woman. Regardless of the reason, we should take note of Laura Bassi. She had tremendous staying power, a long career in a man’s field, and she raised a family. Sounds like something that many contemporary women are trying to do and would be inspired by.

Oh and she has a crater on Venus named for her – what more could you ask from a woman!

Resources
Women in Science: Antiquity through the Nineteenth Century by Marilyn Bailey Ogilivie
Women in Science by H. J. Mozans

Read about other Famous Women Mathematicians and Scientists.

Émilie du Châtelet – “femme savant” and paramour

Émilie du Châtelet by Maurice Quentin de La Tour

Depending on where you have heard of Émilie du Châtelet you know her as a mathematician and scientist, or the paramour of Voltaire. She was both, a complex woman stimulated by intelligent conversation and study, but also a coquette. On the one hand very unusual for a woman of the 18^th century, on the other a product of her time.

Gabrielle-Émilie Le Tonnelier de Breteuil led a privileged life. Her father was an official in the court of Louis XIV at Versailles. At the time of Émilie’s birth, he held the position of Introducer of Ambassadors at court. This put him in the midst of all of the important social happenings of the time in France. Her mother Gabrielle Anne de Froulay was brought up in a convent and well educated for a woman of that time. The family owned a home in Paris and an estate in Touraine.

Émilie was born in 1706, the only girl of six children. Three of her brothers survived to adulthood, although only one lived to an old age becoming an abbé and later a bishop. As with many women of the time, Émilie was educated because her father recognized her genius and promoted it by providing tutors for her. Although Émilie’s mother was educated in the convent, there is some evidence that she resisted the rigorous education that her husband gave Émilie. In spite of this, tutors were brought to the house to teach her astronomy, mathematics, and physics. She became fluent in German, Italian, Latin, Greek, and as an adult, published translations of literary as well as scientific works into French. In spite of her recognized brilliance, her education wasn’t strictly academic. She received training in fencing, riding, the harpsichord and opera. However, her preference in study was for mathematics and philosophy, certainly unusual for a woman of the 18^th century. In a somewhat scandalous application of her abilities, she used her knowledge of mathematics as a teenager to prosper as a gambler. The proceeds were, of course, used to buy the science and mathematics texts she wanted.

All young aristocratic women of the time were expected to make a good marriage and Émilie was no exception. A marriage was arranged and in 1725, she married Marquis Florent-Claude du Chastellet-Lomont. She became the Marquise du Chastellet. (The spelling Châtelet was introduced later by Voltaire.) Émilie was nineteen and Claude was in his early thirties. The marriage doesn’t seem to have been a very passionate affair. It would survive infidelities on both sides. They did, however, have three children: Françoise Gabriel Pauline (1726), Louis Marie Florent (1727), and Victor-Esprit (1733) although Victor died in 1734.

Claude was a military man, this kept him away from home quite a bit and by the time Émilie had her third child, she was bored. Tired of being away from society and ready to resume her active life and her studies, she reemerged on her own terms. Although Émilie didn’t actively resist convention, she was determined to live her life as she saw fit. She lived life enthusiastically and with boldness. Unfortunately, this approach had its consequences and she became the focus of a fair amount of malicious gossip. Lynn Osen, in her book Women in Mathematics, states that Émilie committed two unforgivable sins: “She refused to give up her serious study of mathematics” and “she stole the heart of Voltaire.”

In eighteenth century French society, as in many other times, the issue that concerned people in their gossip was not whether or not a woman had affairs, but was she discreet. There are three names that are associated with Émilie ’s love life. Although Émilie knew these unwritten rules, at the end of her first affair she broke them in a very indiscreet way. There are a couple of different versions of how it came about, but the result is the same, she attempted suicide. Whether this was an attempt at emotional blackmail or just evidence of her passionate nature, it was thwarted by her lover when he discovered her and got her immediate medical attention.

Voltaire c. 1724, by Nicolas de Largillière

Émilie ’s second affair, and a friendship that would last until her death, was with Voltaire. She may have met him when she was young, but her adult friendship began with him in 1733 after the birth of her third child. Even though intellectual women were the butt of many jokes during that time not only in society, but also in literature and the theater (“femme savant” was not a compliment), intellectual men often still sought out these women as their companions. Émilie and Voltaire were companions in every sense. Over the next 15 – 16 years before Émilie ’s death in 1749, they would rarely be separated and would challenge each other to produce work that has stood the test of time.

Voltaire was often in trouble with the powers that be and was exiled to Britain at one point. When his exile seemed imminent again, Émilie suggested that they go to one of her husband’s country estates at Cirey. Claude seems to have liked Voltaire and if not welcoming of his wife’s affair at least accepting of it. Émilie and Voltaire set up a laboratory, accumulated a library and did substantive work during their time here. Émilie came into her own in mathematics and science and began to make a name for herself.

You could think of them as collaborators of a sort, but although they had many interests in common, their strengths were different. One early example of how they did collaborate was when Voltaire entered a contest for an essay on the scientific properties of heat and light. Émilie worked with him on his experiments and ideas, but at some point she disagreed with his conclusions and decided to enter the contest herself. Neither won, but both were recognized for their work by having it published. The prize was jointly awarded to three men one of whom was Euler. (That will give some of you an idea of the competition they were up against.)

Although, Émilie translated literary works and wrote Biblical Commentary on Genesis and the New Testament, there are two major works for which Émilie du Châtelet is best known. One is Institution de physique, “Lessons in Physics.” Originally intended as a text for her son, it was her assessment of the latest ideas in science and mathematics. In it she attempted to reconcile and explain the works of the major thinkers of her time, such people as Newton, Leibniz, etc. These were concepts that few people could really grasp at the time.

Émilie ’s most outstanding achievement is her translation of Newton’s Principia Mathematica into French with commentary. It was a complete translation of all three books with a commentary that summarized and explained Newton’s theories. She also applied the new mathematics of calculus to his ideas. This was the only complete translation of Newton’s work into French and remains the standard today. Émilie worked on this up to the time of her death and Voltaire ensured its publication ten years later.

The third name associated with Émilie ’s love life is the poet Jean François de Saint-Lambert. In the winter of 1747 – 1748, Émilie traveled with Voltaire to Lunéville, the home of the duke of Lorraine. Here she met and fell in love with Saint-Lambert who was ten years her junior. She also became pregnant. Although Voltaire may have been hurt, it is also possible that by that time their relationship had settled into one of companionship rather than lovers. In either case, he remained by her side and with Saint-Lambert returned to Cirey. I’ve read a couple of theories about what happened next. One is that the three of them conspired to get her husband back to Cirey to convince him that the child was his. The other which seems more likely to me is that he cooperated and returned to spend time there in order to give the child legitimacy. In either case, they were all three with her when the child, a daughter, was born in September of 1749. Although, the delivery seemed to go well, Émilie died a week later.

Some people may have viewed Émilie primarily as Voltaire’s muse, but she was much more. She was a brilliant, sometimes contradictory, woman who chose as much as possible to live life on her own terms.

Resources
Women in Mathematics, Lynn Osen, 1974.
An Eighteenth Century Marquise, Frank Hamel, 1910.

Read about other Famous Women in Math and Science.

A Few Great Resources About Women’s History

I’ve recently “Liked” some new Facebook pages related to History, some specifically about Women’s History, and through these have discovered some wonderful resources that I want to highlight.

Is Mise – on Facebook

Is Mise is a Facebook page “By, For, and About Women” managed by Tracy Livingston a cultural anthropologist. She has wonderful posts and I highly recommend “liking” her page if you are on Facebook.

Century of Action: Women Get the Vote

One of the websites I found through Is Mise is the “Century of Action: Women Get the Vote“, the website of the Oregon Women’s History Consortium.

When the Nineteenth Amendment was passed in 1920, many women had been voting for quite a while. Fifteen states had given women full suffrage and others had received the right to vote in various types of elections. One hundred years ago, in 1912, the women of Oregon won the right to vote. In honor of this event, the Oregon Women’s History Consortium has been formed to “lead the centennial celebration of woman suffrage and to promote women’s history beyond 2012.” At their website you can find information about the long fight in Oregon, the women who spear-headed that fight, documents, and current news and events.

Homefront Heroines: The WAVES of World War II

During WWII, women did countless jobs to free men to fight. We often think about Rosy the Riveter and women who went into the workforce for the first time, but women also went into the military for the first time in jobs other than nursing. Homefront Heroines: The WAVES of World War II is a documentary film about the women who volunteered for service in the Navy during the war. At the website and blog for the film, you can find wonderful exhibits, pictures, and stories of these women as well as a trailer for the movie to be released in August 2012. They have both a Facebook page and a website.

The Zinn Education Project

If you’ve never read Howard Zinn’s book A People’s History of the United States, it is well worth the time. In the book, Zinn looks at our history from a different perspective than the typical history book and tells the stories of people whose voices are often not heard. The Zinn Education Project is primarily targeted toward using Zinn’s book in the classroom, but it’s website contains many resources which will be of interest to anyone interested in United States history. You can explore by theme or time period and narrow the target audience to a specific age group. This site is not limited to women’s history, but we are certainly represented there. They also have a Facebook page.

National Women’s History Museum

I’ve mentioned the National Women’s History Museum before, but I wanted to remind you of it. If you are on Facebook, be sure to “Like” their page. They frequently have posts of the “Today in History” type specifically related to women.

Just a little nugget from this week – During the Revolutionary War, Thursday April 26, 1777 was the day that Sybil Ludington rode all night on horseback to warn local troops that the British were attacking. Her father was a colonel in the militia and she was barely sixteen, but she rode all night covering roughly 40 miles. She accomplished her mission and the men gathered together the next morning to fight. Paul Revere covered less distance and was memorialized in a poem, but Sybil was just a girl helping out her dad.

Actually, there are a couple of statues of Sybil and she has her own stamp, but I had never heard of her. There are so many things we weren’t taught in school!

Maria Gaetana Agnesi – 18th century mathematician

Maria Gaetana Agnesi, artist unknown (source)

“How long will I have to do this?” must have been the thought that frequently ran through the mind of Maria Agnesi as she stood in her parlor on Friday nights. Maria Gaetana Agnesi was the oldest of 21 children born into the family of Pietro Angesi. The Agnesi family was a well to do family in Milan, Italy in the 18^th century. Pietro came from a merchant class family who had made their money in cloth goods. The family owned many properties and had furnished them exquisitely.

Pietro’s grandfather, father, and uncle had built the business into a sort of empire. For some unknown reason, Pietro was never trusted with the business. Even when his father died, provision was made in his will that prevented him from making any decisions concerning the business without the approval of his uncle. However, when his uncle died childless, the responsibility for the business fell entirely onto Pietro’s shoulders.

Pietro was a very ambitious man. He had almost everything that he could want, materially. The one thing he didn’t have was a position in the aristocracy. He tried many things to be recognized as a member of this class which eventually ran up a huge debt. One of these things was hosting “conversazione” on Friday nights. There were many such events held around the city for the wealthy to indulge themselves. Some were for music and dancing, some for gambling, but at the Agnesi household discussions of philosophy were held. These events served their purpose and attracted many distinguished persons to the Agnesi home such as Monsieur Charles Brosses, president of the parliament of Burgundy and Frederick Christian, heir to the throne of Poland.

One thing Pietro never scrimped on, even when he was accumulating debt, was his children’s education. He hired the best tutors from around Europe for both the boys and the girls. This was during a time when women across Europe were rarely educated. Genius was, however, recognized and Maria Gaetana was that – a child prodigy. By the age of 11, she could speak, read, and write Italian, French, German, Spanish, Latin, Greek, and Hebrew. At the age of 9, she translated a treatise written in Italian into Latin, memorized it, and delivered the oration at one of her father’s “conversations”. The treatise was on the education of women, arguing that they should be allowed access to “the fine arts and sublime sciences”.

She and her sister were regularly put on display in the salon of their family home. Here her father entertained many wealthy and noble men. Maria Gaetana was asked questions by the participants and she would expound on the subject. She was adept at discussing philosophy as well as the sciences and mathematics. She was brilliant, and the men who attended were amazed that she could discuss the philosophy of Descartes as easily as celestial mechanics or the theory of gravitation. Her sister, Maria Teresa, was a composer. She would play the harpsichord and sing, sometimes accompanied by Maria Gaetana on the viola.

Maria Gaetana (1718 – 1799) was basically shy and reserved person. She didn’t enjoy being put on display, but was obedient to her father’s wishes. A devout Catholic, at one point during her teens, she approached him to ask if she could be excused from further events. She wanted to enter the cloister. Her father refused to allow this and she continued participating. Maria Gaetana never married and most of her time was spent teaching the younger children and after her mother (Anna Brivio) died in 1732, managing the household. What time she could spare, she gave in helping ill and homeless people, primarily women.

First page of "Analitical Institutions", 1748 (source) — First page of “Analytical Institutions”, 1748 (source)

As she got older, one of Maria Gaetana’s responsibilities was to tutor her younger brothers in mathematics. She had a passion for scholarship including mathematics and had absorbed works by Newton, Fermat, and Descartes among others. She found all of the texts available to be inadequate for the task of teaching her younger siblings. For this reason she decided to write her own. Originally, it was intended to be used only for their lessons but 10 years after she began it, Analytical Institutions was published to wide acclaim. It was a comprehensive look at mathematical analysis at the time, from algebra through differential and integral calculus, infinite series, and differential equations. She managed to synthesize work from many of the masters including Newton and Leibnitz to write a text that made these topics accessible to the lay person.

Maria had previously published Propositiones Philosophicae a volume of about 200 essays on various topics presented at her father’s conversations. But she is primarily known for Analytical Institutions. It is the earliest surviving math text written by a woman and was translated into English and French for use as a textbook. She was honored by such people as Pope Benedict XIV with a gold medal and Empress Maria Theresa with jewels. She was also elected to the Bologna Academy of Sciences. This position included a faculty post. There is some disagreement as to whether or not she ever taught there.

Whether or not Maria Gaetana taught outside the home, this would have ended when her father died in 1752. He had left the family in tremendous debt and most of their possessions had to be sold to cover it. This changed Maria’s lifestyle and set her free to pursue her passion. Until her death in 1799, Maria Gaetana gave selflessly to others. She worked with the ill and homeless people of Milan with both her time and what resources she had left.

The "Witch of Agnesi" curve (source) — The “Witch of Agnesi” curve (source)

Maria Gaetana Agnesi is most well known for a curve that she worked with called the “Witch of Agnesi.” Known for, that is, outside of Italy. In Italy she is known as a great humanitarian and woman of God. She was buried in a common grave with 15 other women and her childhood home was destroyed during WWII. But the city of Milan is proud of their daughter and there are monuments that have been erected to celebrate her life.

Bust of Maria Gaetana Agnesi, beneath the arcades of the courtyard of the Palace of Brera at Milan. Photographer: Giovanni Dall'Orto (source) — Bust of Maria Gaetana Agnesi, beneath the arcades of the courtyard of the Palace of Brera at Milan. Photographer: Giovanni Dall’Orto (source)

References
The World of Maria Gaetana Agnesi, Mathematician of God
by Massimo Mazzotti
Women in Mathematics by Lynn Osen

Read about other Famous Women Mathematicians and Scientists