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Which mechanical function did Al-Khwarizmi's algebra enable in gear-based astronomical clocks?

A)Predicting sunrise/sunset times accurately
B)Calculating lunar phase progression rates
C)Automating planetary orbit simulation
D)Regulating escapement rate via gear ratio

💡 Explanation

When crafting gear ratios for orreries, Al-Khwarizmi's algebra was crucial to precisely calculating gear teeth numbers, enabling accurate automated simulation of planetary orbits based on astronomical ratios. Therefore, automation of orbit simulation was enabled rather than simple time keeping as a consequence of carefully designed ratios.

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