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Chinese Text Project
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Scope: Canon I Request type: Paragraph
Condition 1: References "几何学" Matched:9.
Total 9 paragraphs. Page 1 of 1.

经上 - Canon I

English translation: A.C. Graham [?] Library Resources
Related resources
2 经上:
体,分于兼也。
经说上:
体:若二之一,尺之端也。
Canon I:
A ti (unit/individual/part) is a portion in a jian (total/collection/whole).
Exposition of Canon I:...:
For example, one of two, or the starting-point of a measured length.

53 经上:
平,同高也。
经说上:
Canon I:
Ping (level/flat) is of the same height.

55 经上:
中,同长也。
经说上:
心中:自是往相若也。
Canon I:
The zhong (centre) is [the place from which (?)] they are the same in length.
Exposition of Canon I:...:
Distances outward from this are alike.

56 经上:
厚,有所大也。
经说上:
厚:惟无所大。
Canon I:
Hou (having bulk/thickness/dimension) is having something than which it is bigger.
Exposition of Canon I:...:
Only [the starting point (?)] has nothing than which it is bigger.

59 经上:
圜,一中同长也。
经说上:
圜:规写攴也。
Canon I:
Yuan (circular) is having the same lengths from one centre.
Exposition of Canon I:...:
The compasses draw it in the rough (?).

61 经上:
倍,为二也。
经说上:
倍:二尺与尺但去一。
Canon I:
Bei (doubling) is making two of them.
Exposition of Canon I:...:
When they are 'two', measured foot and measured foot both depart from one starting-point, which is being nowhere the same.

62 经上:
端,体之无厚1而最前者也。
经说上:
端:是无间2也。
Canon I:
The duan (starting-point) is the unit without dimension which precedes all others.

1. 厚 : Originally read: "序".
2. 间 : Originally read: "同".

63 经上:
有间,中也。
经说上:
有间1:谓夹之者也。
Canon I:
You jian (having an interval/discontinuous) is [not extending to] the centre.
Exposition of Canon I:...:
It refers to the flanking ones.

1. 间 : Originally read: "闻".

64 经上:
间,不及旁也。
经说上:
1:谓夹者也。尺前于区穴而后于端,不夹于端与区内。及及非齐之,及也。
Canon I:
Jian (intervening/in between) is not extending to the sides.
Exposition of Canon I:...:
It refers to what is flanked. Lengths measured from starting-point to circumference are not flanked by starting-point and circumference. The two extensions are extensions of which it is not the case that they come out level with each other.

1. 间 : Originally read: "闻".

Total 9 paragraphs. Page 1 of 1.