Leo the Geometer
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Leo the Mathematician, the Grammarian or the Philosopher ( grc-gre, Λέων ὁ Μαθηματικός or ὁ Φιλόσοφος, ''Léōn ho Mathēmatikós'' or ''ho Philósophos''; – after January 9, 869) was a Byzantine philosopher and
logician Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
associated with the
Macedonian Renaissance Macedonian Renaissance ( el, Μακεδονική Αναγέννηση) is a historiographical term used for the blossoming of Byzantine culture in the 9th–11th centuries, under the eponymous Macedonian dynasty (867–1056), following the uphea ...
and the end of the Second Byzantine Iconoclasm. His only preserved writings are some notes contained in manuscripts of
Plato Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution ...
's dialogues. He has been called a "true
Renaissance man A polymath ( el, πολυμαθής, , "having learned much"; la, homo universalis, "universal human") is an individual whose knowledge spans a substantial number of subjects, known to draw on complex bodies of knowledge to solve specific pro ...
"Marcus Louis Rautman (2006), ''Daily Life in the Byzantine Empire'' (Greenwood Publishing Group, ), 294–95. and "the cleverest man in Byzantium in the 9th century". He was
archbishop of Thessalonica The Metropolis of Thessaloniki ( el, Ιερά Μητρόπολις Θεσσαλονίκης) is a Greek Orthodox metropolitan see based in the city of Thessaloniki in Central Macedonia, Greece. It is part of the so-called "New Lands", belonging to ...
and later became the head of the Magnaura School of philosophy in
Constantinople la, Constantinopolis ota, قسطنطينيه , alternate_name = Byzantion (earlier Greek name), Nova Roma ("New Rome"), Miklagard/Miklagarth (Old Norse), Tsargrad ( Slavic), Qustantiniya ( Arabic), Basileuousa ("Queen of Cities"), Megalopolis ( ...
, where he taught Aristotelian logic.


Life

Leo was born in
Thessaly Thessaly ( el, Θεσσαλία, translit=Thessalía, ; ancient Thessalian: , ) is a traditional geographic and modern administrative region of Greece, comprising most of the ancient region of the same name. Before the Greek Dark Ages, The ...
, a cousin of the Patriarch of Constantinople, John the Grammarian. He was probably at least in part of
Armenian Armenian may refer to: * Something of, from, or related to Armenia, a country in the South Caucasus region of Eurasia * Armenians, the national people of Armenia, or people of Armenian descent ** Armenian Diaspora, Armenian communities across the ...
descent. In his youth he was educated at Constantinople, but found higher education options limited in the city and thus travelled to the monasteries of
Andros Andros ( el, Άνδρος, ) is the northernmost island of the Greek Cyclades archipelago, about southeast of Euboea, and about north of Tinos. It is nearly long, and its greatest breadth is . It is for the most part mountainous, with many ...
, where he could obtain rare manuscripts and was taught mathematics by an old monk. He originally taught privately in obscurity in Constantinople. The story goes that when one of his students was captured during the Byzantine–Arab Wars, the
Caliph A caliphate or khilāfah ( ar, خِلَافَة, ) is an institution or public office under the leadership of an Islamic steward with the title of caliph (; ar, خَلِيفَة , ), a person considered a political-religious successor to th ...
al-Mamun Abu al-Abbas Abdallah ibn Harun al-Rashid ( ar, أبو العباس عبد الله بن هارون الرشيد, Abū al-ʿAbbās ʿAbd Allāh ibn Hārūn ar-Rashīd; 14 September 786 – 9 August 833), better known by his regnal name Al-Ma'mu ...
was so impressed by his knowledge of mathematics, providing proofs that his own scholars were unable to complete, and predictive abilities that he offered Leo great riches to come to
Baghdad Baghdad (; ar, بَغْدَاد , ) is the capital of Iraq and the second-largest city in the Arab world after Cairo. It is located on the Tigris near the ruins of the ancient city of Babylon and the Sassanid Persian capital of Ctesiphon. I ...
. Leo took the letter from the caliph to the
Byzantine emperor This is a list of the Byzantine emperors from the foundation of Constantinople in 330 AD, which marks the conventional start of the Byzantine Empire, Eastern Roman Empire, to Fall of Constantinople, its fall to the Ottoman Empire in 1453 AD. On ...
Theophilos, who, impressed by his international repute, conferred on him a school (''ekpaideutērion'') in either the Magnaura or the church of the Forty Martyrs. In the version of the story recorded by
Theophanes Continuatus ''Theophanes Continuatus'' ( el, συνεχισταί Θεοφάνους) or ''Scriptores post Theophanem'' (, "those after Theophanes") is the Latin name commonly applied to a collection of historical writings preserved in the 11th-century Vat. g ...
, the caliph, upon receiving Leo's letter of refusal, sent a letter requesting answers to some difficult questions of geometry and astrology, which Leo obliged. Al-Mamun then offered two thousands pounds of gold and a perpetual peace to Theophilos, if only he could borrow Leo's services briefly; the request was declined. The emperor then honoured Leo by having John the Grammarian consecrate him metropolitan of
Thessalonica Thessaloniki (; el, Θεσσαλονίκη, , also known as Thessalonica (), Saloniki, or Salonica (), is the second-largest city in Greece, with over one million inhabitants in its metropolitan area, and the capital of the geographic region of ...
, which post he held from the spring of 840 to 843. There is a discrepancy in this account, however, in that the caliph died in 833. It has been suggested that either the connection between the caliph's final letter and Leo's appointment as metropolitan is in error, or the caliph in question was actually al-Mutasim. This latter option squares with the account of Symeon the Logothete, who makes Leo teach at the Magnaura from late 838 to early 840 and was paid handsomely. Leo, an iconoclast sometimes accused of paganism, lost his metropolitancy with the end of the
Iconoclasm Iconoclasm (from Greek: grc, εἰκών, lit=figure, icon, translit=eikṓn, label=none + grc, κλάω, lit=to break, translit=kláō, label=none)From grc, εἰκών + κλάω, lit=image-breaking. ''Iconoclasm'' may also be conside ...
in 843. Despite this, he delivered a sermon favourable of icons within months of Theophilos' death. Around 855, Leo was appointed at the head of a newly established Magnaura School by
Bardas Bardas ( el, Βάρδας; died 21 April 866) was a Byzantine noble and high-ranking minister. As the brother of Empress Theodora, he rose to high office under Theophilos (. Although sidelined after Theophilos's death by Theodora and Theoktisto ...
. He was renowned for his philosophical, mathematical, medical, scientific, literary, philological, seismological, astronomic, and astrological learning, and was patronised by
Theoktistos Theoktistos or Theoctistus (; died November 20, 855) was a leading Byzantine official during the second quarter of the 9th century and the ''de facto'' head of the regency for the underage emperor Michael III from 842 until his dismissal and mu ...
and befriended by Photios I of Constantinople.
Cyril Cyril (also Cyrillus or Cyryl) is a masculine given name. It is derived from the Greek name Κύριλλος (''Kýrillos''), meaning 'lordly, masterful', which in turn derives from Greek κυριος ('' kýrios'') 'lord'. There are various varia ...
was his student. Leo has been credited with a system of beacons (an optical telegraph) stretching across
Asia Minor Anatolia, tr, Anadolu Yarımadası), and the Anatolian plateau, also known as Asia Minor, is a large peninsula in Western Asia and the westernmost protrusion of the Asian continent. It constitutes the major part of modern-day Turkey. The re ...
from
Cilicia Cilicia (); el, Κιλικία, ''Kilikía''; Middle Persian: ''klkyʾy'' (''Klikiyā''); Parthian: ''kylkyʾ'' (''Kilikiyā''); tr, Kilikya). is a geographical region in southern Anatolia in Turkey, extending inland from the northeastern coa ...
to Constantinople, which gave advance warning of Arab raids, as well as diplomatic communication. Leo also invented several
automata An automaton (; plural: automata or automatons) is a relatively self-operating machine, or control mechanism designed to automatically follow a sequence of operations, or respond to predetermined instructions.Automaton – Definition and More ...
, such as trees with moving birds, roaring lions, and a levitating imperial throne. The throne was in operation a century later, when
Liutprand of Cremona Liutprand, also Liudprand, Liuprand, Lioutio, Liucius, Liuzo, and Lioutsios (c. 920 – 972),"LIUTPRAND OF CREMONA" in '' The Oxford Dictionary of Byzantium'', Oxford University Press, New York & Oxford, 1991, p. 1241. was a historian, diplomat, ...
witnessed it during his visit to Constantinople. Records Liutprand's description.


Works

Most of Leo's writings have been lost. He wrote book-length works, poems, and many
epigrams An epigram is a brief, interesting, memorable, and sometimes surprising or satirical statement. The word is derived from the Greek "inscription" from "to write on, to inscribe", and the literary device has been employed for over two millen ...
,Among them are some centos preserved in the Palatine Anthology; see Prieto Domínguez, Óscar (2011), ''De Alieno Nostrum: el Centón profano en el mundo griego''. Estudios Filológicos, 328. Salamanca: Ediciones Universidad de Salamanca. , p. 120-179. and was also a compiler, who brought together a wide range of philosophical, medical, and astronomic texts. His library can at least partially be reconstructed: Archimedes,
Euclid Euclid (; grc-gre, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of ...
,
Plato Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution ...
,
Paul of Alexandria Paulus Alexandrinus was an astrological author from the late Roman Empire. His extant work, ''Eisagogika'', or ''Introductory Matters'' (or ''Introduction''), which was written in 378 AD, is a treatment of major topics in astrology as practiced in ...
,
Theon of Alexandria Theon of Alexandria (; grc, Θέων ὁ Ἀλεξανδρεύς;  335 – c. 405) was a Greek scholar and mathematician who lived in Alexandria, Egypt. He edited and arranged Euclid's '' Elements'' and wrote commentaries on wor ...
, Proclus, Porphyry, Apollonius of Perga, the lost ''Mechanics'' of Quirinus and Marcellus, and possibly
Thucydides Thucydides (; grc, , }; BC) was an Athenian historian and general. His '' History of the Peloponnesian War'' recounts the fifth-century BC war between Sparta and Athens until the year 411 BC. Thucydides has been dubbed the father of " scienti ...
. He composed his own medical encyclopaedia. Later Byzantine scholars sometimes confused Leo with the scholar
Leo Choirosphaktes Leo Choirosphaktes, sometimes Latinized as Choerosphactes ( el, Λέων Χοιροσφάκτης) and also known as Leo Magistros or Leo Magister, was a Byzantine official who rose to high office under Emperor Basil I the Macedonian () and served ...
and the emperor
Leo VI the Wise Leo VI, called the Wise ( gr, Λέων ὁ Σοφός, Léōn ho Sophós, 19 September 866 – 11 May 912), was Byzantine Emperor from 886 to 912. The second ruler of the Macedonian dynasty (although his parentage is unclear), he was very well ...
, and ascribe to him oracles.


Primary sources

Recent years have seen the first translations into English of a number of primary sources about Leo and his times. * Featherstone, Jeffrey Michael and Signes-Codoñer, Juan (translators). ''Chronographiae quae Theophanis Continuati nomine fertur Libri I-IV'' (Chronicle of
Theophanes Continuatus ''Theophanes Continuatus'' ( el, συνεχισταί Θεοφάνους) or ''Scriptores post Theophanem'' (, "those after Theophanes") is the Latin name commonly applied to a collection of historical writings preserved in the 11th-century Vat. g ...
Books I-IV, comprising the reigns of
Leo V the Armenian Leo V the Armenian ( gr, Λέων ὁ ἐξ Ἀρμενίας, ''Leōn ho ex Armenias''; 775 – 25 December 820) was the Byzantine emperor from 813 to 820. A senior general, he forced his predecessor, Michael I Rangabe, to abdicate and assumed ...
to Michael III), Berlin, Boston: De Gruyter, 2015. * Kaldellis, A. (trans.). ''On the reigns of the emperors'' (the history of Joseph Genesios), Canberra: Australian Association for Byzantine Studies; Byzantina Australiensia 11, 1998. * Ševčenko, Ihor (trans.). ''Chronographiae quae Theophanis Continuati nomine fertur Liber quo Vita Basilii Imperatoris amplectitur'' (Chronicle of
Theophanes Continuatus ''Theophanes Continuatus'' ( el, συνεχισταί Θεοφάνους) or ''Scriptores post Theophanem'' (, "those after Theophanes") is the Latin name commonly applied to a collection of historical writings preserved in the 11th-century Vat. g ...
comprising the Life of
Basil I Basil I, called the Macedonian ( el, Βασίλειος ὁ Μακεδών, ''Basíleios ō Makedṓn'', 811 – 29 August 886), was a Byzantine Emperor who reigned from 867 to 886. Born a lowly peasant in the theme of Macedonia, he rose in the ...
), Berlin: De Gruyter, 2011. * Wahlgren, Staffan (translator, writer of introduction and commentary). ''The Chronicle of the Logothete'', Liverpool University Press; Translated Texts for Byzantinists, vol. 7, 2019. * Wortley, John (trans.). ''A synopsis of Byzantine history, 811-1057'' (the history of
John Scylitzes John Skylitzes, commonly Latinized as Ioannes, la, Johannes, label=none, la, Iōannēs, label=none Scylitzes ( el, Ἰωάννης Σκυλίτζης, ''Iōánnēs Skylítzēs'', or el, Σκυλίτση, ''Skylítsē'', label=none ; la, ...
, active 1081), Cambridge University Press, 2010.


Notes


External links

* Katerina Ierodiakonou and Börje Bydén (2008)
"Byzantine Philosophy."
'' Stanford Encyclopedia of Philosophy''. {{DEFAULTSORT:Leo the Mathematician 790s births 9th-century deaths 9th-century Byzantine physicians 9th-century mathematicians 9th-century philosophers Byzantine philosophers Year of birth uncertain Year of death unknown Byzantine bishops of Thessalonica People from Thessaly 9th-century Byzantine writers 9th-century Byzantine scientists Byzantine astronomers 9th-century Greek philosophers 9th-century Greek scientists 9th-century Greek mathematicians