Oxford University Unveils 2 Letters on Ancient Egyptian Mathematics

The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
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Oxford University Unveils 2 Letters on Ancient Egyptian Mathematics

The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)
The Pyramid of Khufu, the largest of the pyramids of Giza. (Reuters)

Two researchers at Oxford University unveiled a scientific document on mathematics in Ancient Egypt.

The document features two letters exchanged between Thomas Eric Peet (1882–1934), who was professor of Egyptology at the University of Liverpool and then a professor of Egyptology at Oxford, and Otto Neugebauer (1899–1990), one of the most prominent mathematics historians in the 20th century.

The letters were found at Peet's house, and then gifted to the Queen's College at Oxford. A recent study published in the latest issue of the Historia Mathematica journal, showcased the letters which shed light on the early 20th century study of ancient Egyptian math and issues of historical approaches to the ancient world.

The study was led by historian of mathematics Dr. Christopher Hollings and Egyptology Professor Richard Bruce Parkinson, who worked together on evaluating the discussions between Peet and Neugebauer, and a study prepared by Peet on a Rhind Mathematical Papyrus dating from 1537 BCE, now held in the British Museum.

In his study, Peet said the papyrus consists of over 80 arithmetical and geometrical problems and solutions, ranging from the distribution of rations among workers, to the calculation of areas and volumes. As such, it is one of the most complete surviving sources providing an insight into the mathematics used in ancient Egypt.

Peet's edition reignited academic interest in Egyptian mathematics. One of the people whom his work inspired was Neugebauer, who subsequently wrote a doctoral dissertation on the principles of Egyptian fraction reckoning (as reflected in the Rhind Papyrus).

According to Hollings and Parkinson, the letters between the pair shed light on the way in which ancient Egyptian mathematics was being re-evaluated in the 1920s.

They explained that the letters reveal a contrast between the attitudes of two scholars who approached the subject with different viewpoints. Both were competent mathematicians and Egyptologists, and yet one of them, Neugebauer, put the mathematics first, and linked the modern ideas on mathematics to the direct evidence of papyri.

As per Peet, he brought Egyptological considerations to the fore, and confined his analysis largely to what was clearly and unequivocally present in the ancient text.



Olympic Balloon to Rise again in Paris

The iconic symbol of the 2024 Paris Olympic will take to the skies during France's annual street music festival, the Fete de la Musique. Thomas SAMSON / AFP
The iconic symbol of the 2024 Paris Olympic will take to the skies during France's annual street music festival, the Fete de la Musique. Thomas SAMSON / AFP
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Olympic Balloon to Rise again in Paris

The iconic symbol of the 2024 Paris Olympic will take to the skies during France's annual street music festival, the Fete de la Musique. Thomas SAMSON / AFP
The iconic symbol of the 2024 Paris Olympic will take to the skies during France's annual street music festival, the Fete de la Musique. Thomas SAMSON / AFP

A giant balloon that became a popular landmark over the skies of Paris during the 2024 Olympics is set to rise again, with organizers hoping it will once again attract crowds of tourists.

During the Games, the Olympic cauldron tethered to a balloon flew above the Tuileries garden at sunset every day, with thousands flocking to see the seven-meter (23 feet) wide ring of electric fire, AFP said.

Last summer's version "had been thought up to last for the length of the Olympic and Paralympic Games," said Mathieu Lehanneur, the designer of the cauldron.

After President Emmanuel Macron "decided to bring it back, all of the technical aspects needed to be reviewed", he told AFP on Thursday.

Lehanneur said he was "very moved" that the Olympic balloon was making a comeback.

"The worst thing would have been for this memory to become a sitting relic that couldn't fly anymore," he said.

The new cauldron will take to the skies on Saturday evening during France's annual street music festival, the Fete de la Musique.

The balloon will rise into the air every evening until September 14 -- a summer tradition set to return every year until the 2028 Los Angeles Games.

"For its revival, we needed to make sure it changed as little as possible and that everything that did change was not visible," said Lehanneur.

With a decarbonated fire patented by French energy giant EDF, the upgraded balloon follows "the same technical principles" as its previous version, said director of innovation at EDF Julien Villeret.

The improved attraction "will last ten times longer" and be able to function for "300 days instead of 30", according to Villeret.

The creators of the balloon also reinforced the light-and-mist system that "makes the flames dance", he said.

Under the cauldron, a machine room hides cables, a compressor and a hydro-electric winch.

That system will "hold back the helium balloon when it rises and pull it down during descent", said Jerome Giacomoni, president of the Aerophile group that constructed the balloon.

"Filled with 6,200 m3 of helium that is lighter than air," the Olympic balloon "will be able to lift around three tons" of cauldron, cables and attached parts, he said.

The Tuileries garden is where French inventor Jacques Charles took flight in his first gas balloon on December 1, 1783, Giacomoni added.

He followed in the footsteps of the famed Montgolfier brothers, who had just nine days earlier elsewhere in Paris managed to launch a similar balloon into the sky with humans onboard.

The website vasqueparis2024.fr is to display the times when the modern-day balloon will rise and indicate any potential cancellations due to weather conditions.