The Shelves · Mathematics (incl. astronomy)
On the Sizes and Distances of the Sun and Moon (and the lost heliocentric hypothesis)
Περὶ μεγεθῶν καὶ ἀποστημάτων ἡλίου καὶ σελήνης
◇ Doubted: where it was written is uncertain.
I · The entry, in his form
In the table of Mathematics (incl. astronomy)
Conjecturedvery likely classc. 310–230 BCE. The first known to put the Sun at the centre, with the Earth going round it; Archimedes, a younger contemporary, reports the hypothesis, and Plutarch adds that the Earth also turned on its own axis. His surviving On the Sizes and Distances of the Sun and Moon is a geometry of eclipses.
On the Sizes and Distances of the Sun and Moon
Περὶ μεγεθῶν καὶ ἀποστημάτων ἡλίου καὶ σελήνης
Opening words not preserved.
Length: not counted
◇ Doubted: where it was written is uncertain.
Above, his entry form, filled from what we know. Below, ours.
II · Does it survive? Where to read it
Survives in large part
The treatise survives; the sun-centred hypothesis is known only from Archimedes and Plutarch.
Was it in Alexandria?
Known · ProbableProbably held in the Library.
In the cupboard: no source names the Alexandrian copy, but its scholars' use of it makes one very likely.
Read it today
- Heath, Aristarchus of Samos (1913), with text and translation · original and translation · link checked 31 Oct 2026
- Greek text (Scaife Viewer) · the original · link checked 31 Oct 2026
III · In the show
The show has not yet spoken of this work.
IV · Sources and the living entry
Ancient references (2)
- Archimedes, Sand-Reckoner 1.4-5
- Plutarch, On the Face in the Moon 923a
Modern scholarship
Entry checked 31 Oct 2026 · no corrections · Suggest a correction ›
ΠΕΡΙ ΜΕΓΕΘΩΝ ΚΑΙ ΑΠΟΣΤΗΜΑΤΩΝ ΗΛΙΟΥ ΚΑΙ ΣΕΛΗΝΗΣ
Beside it in the cupboard
- Euclid, Elementsc. 300 BCE · Survives whole
- Euclid, Optics, Phaenomena, Datac. 300 BCE · Survives in large part
- Eratosthenes of Cyrene, On the Measurement of the Earthc. 240–230 BCE · Lost
- Archimedes of Syracuse, The Method of Mechanical Theorems, addressed to Eratosthenesc. 240–220 BCE · Survives in large part