Datong Lifa Tonggui

《大统历法通轨》 Ming · Yuan Tong

中文版 →

Overview

A computational manual of the Ming Datong calendar, setting out the methods of the Shoushi calendar as an operational procedure.

Key data

ItemDetail
AuthorYuan Tong (early Ming)
CompletedEarly Ming
VolumesFour
Core contentTables and computational procedures of the Datong calendar

Book and calendar

Ming used the Datong calendar, whose methods in fact continue the Yuan Shoushi calendar with its figures unchanged.

The Datong Lifa Tonggui is its computational manual, setting out the methods step by step in a sequence that can be followed.

⚠ Note that the Datong calendar and Zu Chongzhi’s Daming calendar are close in name but wholly different; the two must not be conflated.

Contents and form

The book is arranged in computational order: the tables first, then the steps of each calculation,

covering ecliptic and lunar motion, the sun’s and moon’s positions, and eclipses, each with its procedure.

Its figures agree largely with the Shoushi calendar, so that the book may be read as the practical form of the Shoushi methods under the Ming.

Value

For how the Ming calendar was actually used, this book is the direct source.

Its tables and procedures are also material for the study of the actual computation of ancient calendars.

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Compiled and arranged by Chujia Kuang.

VI · Works on Calendrical Mathematics and Instruments ← Gexiang Xinshu Shengshou Wannian Li → Back to Classic Books