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Create annotation system (creates a ticket)

Manual annotation is the default. Approved files are written as sibling pages under kanbun/, hanmun/, or hanvan/ with the same filename as this source page.

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


# WORK_TITLE: 角
# DISPLAY_TITLE: 角
# AUTHOR:
# TIMES:
# PAGE_TITLE: 角
# CATEGORIES:
角者，旋之度也。逆時而行者正也，反之負也。

半周天為平角
；四分之一周天為直角
；不及直角者，曰銳角
；愈直角而不及平角者，曰鈍角
；愈平角而不及一周天者，曰優角
。

夾角

若此線段逆時旋轉若干則重合彼線段，則謂兩線段之夾角若干。然二線段必有二夾角，若無明示，取小者可也。故夾角為三直角者同乎一直角。

度數

一周天為三百六十度，一度為六十分，一分為六十秒。故直角為九十度，平角為一百八十度。時人習用之法也。

弧度

半徑為一之圓，
弧
長為一者，所應之角為一弧度
。故平角之弧度同乎圓周率，一周天之弧度等於二乘圓周率。疇人多用此法，蓋益處良多。

內積空間

欲求角之定義，殊非易事。有一法，使線段為一矢量，以兩線段之內積定義夾角。詳見內積空間一文。

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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Translator

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Translation text

Material files

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Related corpus path

Material links

Ticket summary

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AI assistance disclosure

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Propose a text edit (creates a ticket)

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Edited text

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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)

# WORK_TITLE: 角 # DISPLAY_TITLE: 角 # AUTHOR: # TIMES: # PAGE_TITLE: 角 # CATEGORIES: 角者，旋之度也。逆時而行者正也，反之負也。半周天為平角；四分之一周天為直角；不及直角者，曰銳角；愈直角而不及平角者，曰鈍角；愈平角而不及一周天者，曰優角。夾角若此線段逆時旋轉若干則重合彼線段，則謂兩線段之夾角若干。然二線段必有二夾角，若無明示，取小者可也。故夾角為三直角者同乎一直角。度數一周天為三百六十度，一度為六十分，一分為六十秒。故直角為九十度，平角為一百八十度。時人習用之法也。弧度半徑為一之圓，弧長為一者，所應之角為一弧度。故平角之弧度同乎圓周率，一周天之弧度等於二乘圓周率。疇人多用此法，蓋益處良多。內積空間欲求角之定義，殊非易事。有一法，使線段為一矢量，以兩線段之內積定義夾角。詳見內積空間一文。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