Source edition
Euclid. Euclidis Opera Omnia, Volume 8. Menge, Heinrich, editor. Leipzig: Teubner, 1916.
Source data
Open Greek and Latin · CC BY-SA 4.0
Cloned and adapted by Humanitext, with ongoing edits.
Summary
This scientific work analyzes the movement of the ecliptic based on the ancient model of the celestial sphere through geometrical methods. The central theme of the treatise is to clarify the variation in time required for equal arcs of the ecliptic to pass below the horizon, specifically through the invisible hemisphere. The author demonstrates how this passage time relates to the distance of these arcs from the solstices and the celestial equator. Utilizing geometrical figures and theorems representing the rotation of the celestial sphere and its relationship with the horizon, the text develops rigorous proofs step by step. Ultimately, the work successfully explains the seemingly irregular movements of celestial bodies, such as the rising and setting of zodiacal signs, by anchoring them in precise mathematical and geometrical laws.
Contents
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