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In 1882 , Lindemann building on the work of Hermite showed that a straightedge and compass quadrature of the circle ( construction of a square equal in area to a given circle ) was also impossible by proving that Pi is a transcendental number .
 person: Lindemann; person: Hermite; person: Pi
Please list all entity words in the text that fit the category.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
Answer:
 person: Lindemann; person: Hermite; person: Pi