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Miguel Eusebio Corazao Quintanilla (15 December 1850 – 4 January 1913) was a Peruvian mathematician, specifically a geometer. His most notable work concerns a series of geometric theorems published during his time as a professor at the National College of Sciences and Arts of Cuzco and University of Cuzco.

Early life and education
Miguel Eusebio Corazao Quintanilla was born in Calca, Peru on 15 December 1850. His parents were Coronel don Agustín Corazao and Juana de Dios Quintanilla.

Corazao was homeschooled in his early years and entered the National College of Sciences and Arts of Cuzco at a young age, quickly distinguishing himself through his clear intelligence and passion for science. He graduated from this school with a bachelor's degree in education with the thesis Divisibilidad de la Materia (transl. Divisibility of Matter), later receiving his Sc.D. from the University of Cuzco with the thesis El Sistema de Newton (transl. Newton's System).

Career
When Corazao was 18 years old and a student at the National College of Sciences and Arts of Cuzco, school director Juan Manuel Gamboa, having noted Corazao's exceptional qualities, appointed him as professor of the courses Reasoned Arithmetic, Algebra, Geometry, and Trigonometry, a position which he held from 1869 to 1884. Additionally, as appointed by the Council of Ministers of the college, Corazao was professor of the courses Mechanics, Physics, and Cosmography from 1884 to 1912 and served as Deputy Director at the school in 1895 and 1898.

On 19 April 1876, Corazao obtained his Doctor of Science (Sc.D.) from the University of Cuzco and just days later, on the 24th of that same month, was appointed as professor of the courses General and Experimental Physics, Meteorology, and Climatology at this same school, a position which he held until the end of 1912.

Work
Corazao's research concerned the problems of rectification of the circumference and squaring the circle, with much of his published work examining the relationships between regular polygons and their inscribed, circumscribed, and isoperimetric circles. His most significant work consists of a series of geometric theorems he discovered in 1888 and first published in 1905, the most well-known of which, sometimes referred to as Corazao's theorem, states that every regular polygon is mean proportional between the circle inscribed in it and its isoperimetric circle.

Legacy
A school center in the Lamay District in Cusco, Peru, the Institucion Educativa Eusebio Corazao, is named after the mathematician. Additionally, the town square of the city of Calca features a bust of Corazao.

Corazao is highly regarded, especially in the Cuzco region, for his contributions to the development of scientific knowledge through his research and innovative teaching.