《明史·志·卷七》
古今历家根据交食的分数及交泛等，测定黄道白道相距大约五度。
古今历家以交食分数及交泛等，测量定黄白二道相距约五度。
Ancient and modern astronomers have determined that the distance between the ecliptic and the white path is about five degrees based on the fractions of eclipses and other appearances.
<s>[INST] Translate the given Classical Chinese text into modern Chinese, then provide an English translation that captures the nuances of both versions. Classical Chinese: 古今历家以交食分数及交泛等，测量定黄白二道相距约五度。 [/INST] Modern Chinese: 古今历家根据交食的分数及交泛等，测定黄道白道相距大约五度。 English Translation: Ancient and modern astronomers have determined that the distance between the ecliptic and the white path is about five degrees based on the fractions of eclipses and other appearances.</s>
Translate the given Classical Chinese text into modern Chinese, then provide an English translation that captures the nuances of both versions. Classical Chinese: 古今历家以交食分数及交泛等，测量定黄白二道相距约五度。
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Modern Chinese: 古今历家根据交食的分数及交泛等，测定黄道白道相距大约五度。 English Translation: Ancient and modern astronomers have determined that the distance between the ecliptic and the white path is about five degrees based on the fractions of eclipses and other appearances.
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