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Work: 線 Viewing: Source

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Annotation system

Summary

Reasoning

Digital keyboard

Kanbun-LM is not shown here because automatic generation is Japanese-only. This patch keeps the manual path as the default workflow.

Source page

線者，二點之接也。蓋必從歐氏幾何之首四公理。
直線者，線段向兩端之無限引伸也。

歐氏幾何

二點之接，必為最短之曲線
。

坐標幾何

迨坐標幾何生，直線咸一維線性之物。再推廣之，曰一維仿射空間。

非歐幾何

至非歐幾何生。合歐氏幾何之首四公理者，非線性也。如球面幾何，其直線，大圓也。如圓
形，線為弧
也。

流形

窮究其理，非歐幾何之直線者，
流形之最短曲線也。然流形可嵌歐几里得空間，則一維線性者曰直線，最短曲線曰測地線
。

參

直線方程

幾何術語

點

頂點

相切

線

直線

曲線

測地線

切線

圓錐曲線

拋物線

雙曲線

螺線

螺旋


面

平面

曲面

切面

三角形

四邊形

多邊形

圓

弦

橢圓

體

長方體

立方體

棱錐

正多面體

錐體

柱體

球

橢球

角

邊

高

長

距

周界

面積

體積

圓周率

黃金分割

相似

全等

平行

垂直

平行公理

勾股定理

歐氏幾何

尺規作圖

非歐幾何

球面幾何

雙曲幾何

流形

坐標幾何

射影幾何

仿射幾何

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Translation text

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Edited text

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Corpus root / nation

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Metadata

Work ID: 92825
Document ID: 260120
Title: 線
Corpus root: 維基大典
Page title: 線
File: 線.txt
Path: 維基大典/clean/線/線.txt

Punctuation options

Preset Source Modern CJK (Traditional) Modern CJK (Simplified / PRC) Pure classical Strip Custom

Quotes

Family

Chinese quotation marks 「」『』 Latin speech marks “ ” ‘ ’ Chinese speech marks ＂＇ Off

Ordering

Traditional: 「甲『乙』丙」 Simplified: 『甲「乙」丙』 Vertical quote forms (﹁﹂﹃﹄)

Question / Exclamation Keep ？ Collapse ? → 。

Keep ！ Collapse ! → 。

Semicolon / Colon Keep ； Collapse ; → 。

Keep ： Collapse : → 。

Comma Use ， Use 、

Repetition mark No repetition mark (default) 々 (Horizontal) 〻 (Vertical) 二 (Western Zhou-style)

線者，二點之接也。蓋必從歐氏幾何之首四公理。直線者，線段向兩端之無限引伸也。歐氏幾何二點之接，必為最短之曲線。坐標幾何迨坐標幾何生，直線咸一維線性之物。再推廣之，曰一維仿射空間。非歐幾何至非歐幾何生。合歐氏幾何之首四公理者，非線性也。如球面幾何，其直線，大圓也。如圓形，線為弧也。流形窮究其理，非歐幾何之直線者，流形之最短曲線也。然流形可嵌歐几里得空間，則一維線性者曰直線，最短曲線曰測地線。參直線方程幾何術語點頂點相切線直線曲線測地線切線圓錐曲線拋物線雙曲線螺線螺旋面平面曲面切面三角形四邊形多邊形圓弦橢圓體長方體立方體棱錐正多面體錐體柱體球橢球角邊高長距周界面積體積圓周率黃金分割相似全等平行垂直平行公理勾股定理歐氏幾何尺規作圖非歐幾何球面幾何雙曲幾何流形坐標幾何射影幾何仿射幾何