Published in 1879, this Latin dissertation was the first substantial work on Archimedes by the Danish philologist and historian Johan Ludvig Heiberg (1854-1928), who the following year embarked on editing the three-volume Archimedis Opera Omnia (also reissued in this series). Much later, in 1906, he discovered a palimpsest containing previously unknown works by the Greek mathematician. The Quaestiones includes chapters on the life of the famous scientist of Syracuse, a discussion of his works and explanations of his mathematical and scientific ideas, as well as a survey of the extant codices known to the author. It also contains the Greek text, edited and annotated by Heiberg, of Archimedes' Psammites (The Sand Reckoner), a mathematical enquiry into how many grains of sand would fit in the universe. This includes mention of a heliocentric solar system, speculation about the size of the Earth, and Archimedes' other views on astronomy.