Abelard and Heloise

When Peter Abelard met Heloise d'Argenteuil in 1115, he was a famous teacher approaching 40 years of age whose lectures drew hundreds from all over Europe. She was a 15-year-old girl known for being an excellent scholar, her young age making her rather famous.

She was too old for the convent education available to young girls, and too female for university education, so her uncle Fulbert, a canon of Notre-Dame, arranged for private instruction for her with Abelard. Abelard needed a place to live, and Fulbert took him in in exchange for tutoring. Abelard was enamored of his new clever student. He admitted, in his autobiographical writing, Historia Calamitatum ("The History of My Calamities"), that he embarked on a plan of seduction with her.

When Fulbert found out that their relationship was going beyond that of teacher-student, he sent Abelard from the house and forbade them from continuing. The relationship carried on in secret, however, and came to light again when Heloise became pregnant. Abelard protected Heloise by getting her out of Filbert's home and sending her to Abelard's sister, Dionysia in Brittany. The boy to whom she gave birth was named Astrolabe, after the astronomical instrument. (After what followed, Astrolabe was raised by Dionysia.)

Fulbert wanted the two to marry, and Abelard agreed to the union if Fulbert would keep it secret to protect Abelard's career. Heloise also wanted the marriage secret to protect Abelard's reputation. Abelard had been named a canon of the cathedral of Sens in 1115, and the Church was moving toward forbidding any clerical marriage. Heloise returned from Brittany to Fulbert's home. Soon, however, Fulbert reneged on the agreement and spread the knowledge of Abelard's affair and marriage.

Heloise denied this information, angering Fulbert. Abelard once again took her away and sent her to the convent at Argenteuil, the site of her first years of education. She dressed as a nun and lived among them. Fulbert arranged for a band of men to break into Abelard's place one night and castrate him. This was satisfying for Fulbert, but was illegal. The men were punished, and Fulbert was put on leave; his name does not appear in records for several years.

Abelard, disgraced in his career and by his castration, became a monk. Heloise became a nun; there were few other options available to her: living with Fulbert, retreating to Abelard's family in Brittany, or divorcing and finding another husband.

Separate living situations did not end the relationship between the two. I'll talk about Abelard and Heloise, post-split, tomorrow.

al-Farghani's Accomplishments

Despite the potentially reputation-damaging error in calculation made by al-Farghani in the case of a canal, he is better known for other accomplishments.

Abū al-ʿAbbās Aḥmad ibn Muḥammad ibn Kathīr al-Farghānī (c.800 - 870) was known as Alfraganus in Western Europe (see illustration, from a 1493 astronomical work). He was described as Arab and as Persian; there is a suggestion that his name comes from being born in Farghana in Uzbekistan.

His best-known work was Kitāb fī Jawāmiʿ ʿIlm al-Nujūm (Elements of astronomy on the celestial motions), a summary of Ptolemey's astronomical Almagest with revised calculations. He concentrated less on the mathematics and more on explaining the concepts in ways that were easy to understand. This work reached the West in translations by John of Seville and Gerard of Cremona. Dante's knowledge of astronomy came from al-Farghani.

One of his first recorded acts is being involved in a team that calculated the diameter of the Earth. This work influenced Columbus in his voyage across the Atlantic. Columbus, however, misunderstood the translation of al-Farghani's use of "mile." Columbus assumed al-Farghani was using the 4856-foot Roman mile; actually, al-Farghani used the 7091-foot Arabic mile. Columbus thought the diameter of the Earth was smaller.

In Cairo, al-Farghani wrote a treatise on the astrolabe earlier than al-Ashraf Umar II and Abd al-Rahman al-Sufi. Also while in Cairo he supervised the New Nilometer. The Nilometer, as you might guess, was designed to measure the height and clarity of the water of the Nile River.

The annual flooding of the Nile was crucial to Egypt's agricultural cycle, but it was unpredictable. Too heavy a flood was destructive; too light could lead to famine. Knowing what was coming was important. Nilometers come in different designs, but the simplest was a vertical column submerged in the river with markings to denote height of the water. Later, more elaborate versions involved shafts with steps that led down. Noting the height and comparing it to previous years helped predict whether the crops would be successful.

Speaking of flooding...next I want to tell you about a flood that killed thousands in more than one country. See you tomorrow.

The Astronomer Sultan

The Rasulids were a Sunni Muslim dynasty that ruled what is now Yemen and the Red Sea Coast of the Arabia peninsula from the early 13th century to 1454. Their third sultan, Al-Ashraf Umar II, was only sultan for less than two years, following a 46-year rule by his father, but he used his time as sultan-in-waiting to become highly educated. He understood medicine, mathematics, agriculture, and astronomy.

As an astronomer, he wrote a treatise about astrolabes (a device known to many in the east and the west) and sundials. In it, he describes the making of a qibla compass, designed to determine qibla properly wherever you are—that is, the direction toward Mecca for when you pray—a vitally important point in Islam. Al-Ashraf did not claim in the treatise that he invented it, but it is the earliest mention of a compass for determining qibla found in a medieval Islamic text, so his name is historically linked with its creation.

The qibla compass, of course, is a magnetic compass that points north. That is only the first step, however: once you find north, marks around the dial indicate major cities in which you might find yourself. The position of the city's name on the dial—if that's where you are when it is time to pray—show the compass direction from north that you must face.

Al-Ashraf also wrote one of the earliest known Islamic works on agriculture, a seven-chapter treatise that covers times for planting, cereal crops, seed crops, flowering plants, aromatic plants, vegetables, and even pest control. He lived in what is considered the Islamic Golden Age, and died in 1296.

The qibla compass is used extensively today; now, what about the magnetic compass itself? When was that discovered, and what did the Middle Ages do with it? Let's find out next time.

Who Invented the Mechanical Clock?

In researching the previous post, I came across a reference to Pope Sylvester II (formerly Gerbert d'Aurillac, c.946 - 1003) inventing the mechanical clock. The source of this was the William Godwin's final book, Lives of the Necromancers, An Account of the Most Eminent Persons in Successive Ages Who Have Claimed for Themselves, or to Whom Has Been Imputed by Others, The Exercise of Magical Powers [1834]:

This generous adventurer, prompted by an insatiable thirst for information, is said to have secretly withdrawn himself from his monastery of Fleury in Burgundy, and to have spent several years among the Saracens of Cordova. Here be acquired a knowledge of the language and learning of the Arabians, particularly of their astronomy, geometry and arithmetic; and he is understood to have been the first that imparted to the north and west of Europe a knowledge of the Arabic numerals, a science which at first sight might be despised for its simplicity, but which in its consequences is no inconsiderable instrument in subtilising the powers of human intellect. He likewise introduced the use of clocks. He is also represented to have made an extraordinary proficiency in the art of magic; and among other things...

The italics are mine. A little further along, Godwin adds a footnote that tells us his information comes from William of Malmesbury. William (c.1095 - c.1143) was the foremost English historian of the 12th century. Not exactly a contemporary, but maybe near enough that the memories and stories were still fresh? It would be difficult to determine the accuracy of this report, especially in the context of a brief blog post. Fortunately, I don't have to.

As it turns out, Marek Otisk of the University of Ostrava (Czechoslovakia) published an article on this very topic in September 2020, Gerbert of Aurillac (Pope Sylvester II) as a Clockmaker. He examines the reports from William of Malmesbury, the Chronicle of Thietmar of Merseburg (died c.1018), and a much later record (someone who died in 1610). Among his detailed examination of these and other historical records we learn that although William claims Gerbert built a clock in Reims, a friend of Gerbert's (Richest of Reims), writes about Gerbert's stay in Reims in detail and never mentions a clock. Otisk concludes that William's ascribing of the creation of a clock to Gerbert cannot be trusted.

The later report by the Benedictine monk Arnold Wion, who died about 1610, claims Gerbert built a clepsydra, a water clock, in Ravenna. What we know of Gerber's time in Ravenna, however, is that it was very short; again, no contemporary accounts support this story.

Thietmar of Merseburg tells a different story, that Gerbert created a clock in Magdeburg. Thietmar was a bishop and close friend of Holy Roman Emperor Henry II, who succeeded Otto III, credited with making Gerbert into Pope Sylvester II. Thietmar's Chronicle includes a specific detail about Gerbert creating, in Magdeburg, "created clocks (horologium) which he correctly calibrated according to the Polar star (stella, dux nautarum) which he observed through an observation tube (fistula)." [Otisk, p.32] Otisk likes this account because both Thietmar and Gerbert were in Magdeburg in the late 990s, and very likely crossed paths several times.

The use of the word horologium is misleading, however. We use it for the word "clock," but it is more likely that Gerbert was creating a calibrated armillary, or possible even an astrolabe, which he knew about from his exposure to science being done by Islamic philosophers.

So I can't tell you who created the first mechanical clock. But the question of horologium remains: when long-ago writers refer to "clocks," what exactly did they mean? What constituted a clock? There were several ways to measure time without staring at the sun and judging, and I'll talk about those devices tomorrow.

Armillary Spheres

The "wooden terrestrial spheres" mentioned here are what we now call "armillary spheres." An armillary is a spherical arrangement of rings designed to mimic the orbits of the sun and planets around the Earth—or around the Sun, depending on the prevailing theory at the time. If the Earth is the center, it is a Ptolemaic sphere; if the Sun is at the center, it is a Copernican sphere. China and Greece each invented them BCE. Hipparchus credited Eratosthenes (276 - 194BCE) as the inventor.

An early Christian philosopher, John Philoponus, wrote the earliest extant treatise on the armillary sphere and the astrolabe. The oldest example of one we have today dates to the 11th century.

Gerbert d'Aurillac (946 - 1003), who became Pope Sylvester II in 999, had brought the armillary sphere to Western Europe. He was also responsible for introducing Western Europe to the abacus, the Hindu-Arabic numeral system we use today, and (possibly) the mechanical clock.

Sylvester used the armillary sphere and sighting tubes to determine the definitive position of the pole star and to record measurements for the tropics and the equator. His work was improved upon in the Renaissance by Tycho Brahe (1546 - 1601). Public figures would have an armillary sphere incorporated into their portraits to indicate their wisdom and knowledge.

I've written about clocks before, but I don't recall learning that Gerbert d'Aurillac invented it. I want to check that out; I'll let you know what I find.

Abd al-Rahman al-Sufi, Astronomer

MS. Marsh 144, fol. 135v, Bodleian

The contributions of the Muslim world to astronomy are many, and I have only briefly touched on some of them (such as here). There were nine Muslim astronomers in particular who made major contributions. One of them was the Iranian Abd al-Rahman al-Sufi (7 December 903 - 25 May 986). His name indicates that he was a Sufi Muslim, like Rumi.

al-Sufi translated and expanded on the work of the Greeks, especially attempting to reconcile the Greek and Arabic star charts and constellations. In 964 he published Suwar al-Kawakib al-Thabitah, the "Book of Fixed Stars."* In it he gave the latitude and longitude of hundreds of stars for the year 964 from two views: from both the exterior and interior of a celestial globe. The oldest surviving manuscript known is in the Bodleian Library and was created about 1009 by al-Sufi's son. There was no English translation of this book until 2013.

Among the "firsts" that can be credited to al-Sufi's work are the following identifications:

Ursa Major

• "the little cloud" that we call the Andromeda Galaxy.
• the Large Magellanic Cloud*
• the Omicron Velorum star cluster
• a "nebulous object" in Vulpecula, now called "Al Sufi's Cluster"

He also describes the astrolabe and lists a thousand uses of it.

The significance of al-Sufi's work led the astronomical community to name other objects after him, such as a a lunar crater (Azophi) and 12621 Alsufi, a minor plant in the asteroid belt with a period of 2000 days.

*There is an argument that he could not have known of the Magellanic Cloud until the same time as Western European astronomers in the 15th century because of its position in the Southern Hemisphere.

Hermann of Reichenau

Hermann, with crutch & Salve Regina

Hermann of Reichenau (1013-1054) was born to Count Wolverad II and his wife Hiltrud in Upper Swabia. He was severely disabled at birth, and had to be carried around in a specially built chair. A 1999 article tried to diagnose him based on contemporary reports.

Using the biography written by his disciple Berthold, [an] unbiased analysis of the symptoms described [...] is worked out: [...] Intellectual functions were unaffected. [...] Muscle disease is considered possible, but motor neuron disease - either amyotrophic lateral sclerosis or spinal muscular atrophy - seems to be the most convincing diagnosis. [C Brunhölzl, Thoughts on the illness of Hermann von Reichenau]

Because of his condition, he was nicknamed "Contractus" or "the Lame." When he was seven years old, his parents handed him over to the cloister school of the nearby Benedictine monastery on Lake Constance, where he studied under Abbot Berno. Berno was a well-known figure at the time for, among other things, his reforms in liturgical music. Hermann became a monk in 1043 and, upon Abbot Berno's death in 1048, became Berno's successor as abbot.

Despite Hermann's extreme difficulty in moving and even speaking, he was considered a devoted monk and brilliant scholar. He wrote a great deal on music, mathematics, and astronomy. As well as a treatise on the science of music, he wrote two of the best-known of the medieval liturgical songs, the Alma Redemptoris Mater (Loving Mother of the Redeemer), and the Salve Regina (Hail Holy Queen).*

Among his other accomplishments, he is credited with speaking Arabic, because through his writings he made available to the Latin West many scientific discoveries that were previously only widely known in the Arab world. This knowledge of Arabic, however, is only an assumption. His biographer, Berthold, never mentions knowledge of Arabic, which would be unusual omission for such an accomplishment. The monastery was a center of learning in the area, and very likely held copies of works by Gerbert of Aurillac, who learned much from Arabic sources in Spain.

Hermann wrote two works on the astrolabe, previously unknown in Europe, and described a portable sundial. His works on mathematics used Roman numerals. Although this precluded the use of decimals, he still achieved some remarkable results. In his Epistola de quantitate mensis lunaris (Letter on measurement of lunar months), he tries to find the average length of a lunar month. In decimal notation, it is 29.530851 days. Hermann did not only not have decimal notation, he didn't have minutes and seconds. In his time, the hour was divided into "moments" and "atoms." He calculates the length of the lunar month to be 29 days, 12 hours, 29 moments, 348 atoms, which turns out to be exactly right.

He also wrote a history called Chronicon ad annum 1054 (Chronicle to the year 1054). The original is lost, but a 1529 edition saved the unique historical knowledge inside. After Hermann's death, it was continued by Berthold; Berthold died in 1088, but the duty was taken up by others up until 1175.

Hermann died on 24 September. In 1863, he was beatified (a step toward being recognized as a saint). As Blessed Hermann of Reichenau, he is considered the patron of unborn babies, and his Feast Day is celebrated on 25 September.

*A popular English version of Salve Regina was prominent in the Whoopi Goldberg film "Sister Act."