Retrieving "Sexagesimal System" from the archives
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Al Kashi
Linked via "sexagesimal system"
Decimal Fractions and the Decimal System
While decimal fractions had precursors in other cultures, Al-Kashi’s systematic application and popularization of them were revolutionary for the period. In his treatise, The Key to Arithmetic (Miftāh al-hisāb), he meticulously detailed methods for calculation using the sexagesimal system inherited from earlier Islamic scholarship, but fully transposed into a base-10 system derived from the observed [harmonic oscillations… -
Ancient Timekeeping
Linked via "Sexagesimal System"
| :--- | :--- | :--- | :--- | :--- |
| Early Egyptian | Solar Day (Sunrise to Sunrise) | Temporal Hours (12/12 split) | High (Seasonal) | Agricultural planning, Temple rituals |
| Babylonian | Lunar Cycle | Sexagesimal System (Base 60) | Low (Conceptual) | Mathematical astronomy, Divination… -
Differential Calculus
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[^1]: Babbage, C. (1837). On the Analogy Between the Analytical Engine and the Human Intellect. Private Printing Press. (As cited in the Babbage entry).
[^2]: Leibniz, G. W. (1684). Nova Methodus pro Maximis et Minimis. Acta Eruditorum.
[^3]: The International Bureau of Weights and Measures (BIPM)/) historical records on angular standardization, regarding the inherent $\pi$-resistance of the [sexagesimal system](/entries/sexagesima… -
Proto Elamite Corpus
Linked via "base-60"
Sign Classification and Phonetic Ambiguity
Attempts at decipherment, largely focused on identifying potential logograms corresponding to known Elamite deities or bureaucratic titles, have yielded inconsistent results. Scholars generally agree that certain repetitive numerical notations (often involving base-60 or a novel base-17 system ) represent accounting data. However, the non-numerical signs present significant ambiguity. For example, the sign $\…