The attempt to solve the doubling of the cube occupied Balanos Vasilopoulos for much of his career, culminating in a 1756 publication in Venice. Operating within the Ottoman Empire during the 18th century, he navigated the complex intellectual landscape of the Modern Greek Enlightenment as both an Eastern Orthodox priest and a committed educator.
Academic Leadership in Ioannina
Born in 1694 in Ioannina, Vasilopoulos emerged as a central figure in local education. He received his foundational training under the scientist Methodios Anthrakites, who directed the Gouma school. Vasilopoulos followed in his mentor's footsteps by serving as director at the Epifaneios Igoumenos school between 1719 and 1734. He eventually transitioned to head the Gouma school, which was recognized as a premier institution in the region. His pedagogical approach was defined by a strict adherence to Korydalism, largely shaped by his direct experience with the Methodios Affair.
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Vasilopoulos prioritized the dissemination of scientific knowledge through printed handbooks. In 1749, he expanded and reprinted his teacher's work titled The Way of Mathematics, marking the first time a mathematics manual was published in Greek during the Ottoman occupation. His other written works included the Precise Exposition of Arithmetic, published posthumously in Venice in 1803, and an interpretation of the Aphorisms of Hippocrates.
The Geometry Controversy
In 1756, Vasilopoulos proposed a solution to the ancient geometric problem of doubling the cube using only a ruler and compasses. He sought validation for his work from high-profile figures, including Leonhard Euler and the Saint Petersburg Academy of Sciences. The claim was eventually dismissed; later mathematics proved the task impossible. His son, Kosmas Balanos, formally rejected his father's findings in an 1816 publication titled Antipelargisis, following his own succession to the directorship of the Gouma school in 1760.
Linguistic and Philosophical Stance
Throughout his life, Vasilopoulos maintained conservative views regarding the Greek language question, advocating for the instruction of classical Greek. This position put him at odds with more progressive contemporaries, most notably Eugenios Voulgaris, who criticized him for his lack of support for the Demotic language. Vasilopoulos remained deeply embedded in the religious and intellectual structures of his time until his death in 1760.
Fast facts
- Born: 1694, Ioannina, Turkey
- Died: 1760, Ioannina, Turkey
- Citizenship: Ottoman Empire
- Primary Occupation: Mathematician, educator, Eastern Orthodox priest
- Teacher: Methodios Anthrakites
- Notable work: The Way of Mathematics (1749)
- Successor: Kosmas Balanos
Questions readers ask
What was the main mathematical challenge Vasilopoulos pursued?
He attempted to solve the problem of doubling the cube, which involves finding the cube root of two using only a ruler and compasses.
Did he support the use of Demotic Greek?
No, he supported a conservative approach to the language question and favored the teaching of classical Greek.
Achievements
- Fields: mathematician
