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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: 圓
# DISPLAY_TITLE: 圓
# AUTHOR:
# TIMES:
# PAGE_TITLE: 圓
# CATEGORIES:
欲尋「圓」之別解，宜閱「圓釋義」。

圓形諸語

《
墨經
》曰：「圓，一中同長也。」蓋於平面之上，有定點為中，凡周遭之跡，其去中也，長皆等同，是謂之圓
。亦圓錐曲線之一種。

自中至周之線，謂之半徑
。周上兩端相接之線，謂之弦
。弦之過中者為徑，徑之長，倍於半徑。圓周之一截，則謂之弧
。

圓之周與徑，其率有常，是為圓周率，今人以符爲記。古有「周三徑一」之說，其術甚略。至南北朝，疇人祖沖之始精其術，得「約率」為七分之二十二，「密率」為百一十三分之三百五十五。

欲求圓積，《
九章算術
》自有其法，曰：「半周、半徑相乘得積步。」格致家爲算學之
公式，曰：「徑自乘，四而分之，再以率乘之。」二半徑相夾而成角，謂之「心角」。二弦相交於周上成角，謂之「周角」。凡同弧所對，周角之度，常為心角之半也。

至若二半徑與其間之弧，所圍之地，其形如扇，故名扇形
。一弦與其對弧所圍之地，其形如弓，故名弓形
。扇形之積、弧之長短，皆隨心角之大小以為增減。

據

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

Annotation-system text

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AI assistance disclosure

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Evidence files

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Add companion material (creates a ticket)

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Material type

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Translation language (ISO 639-3)

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Translator

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Translation text

Material files

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Related corpus path

Material links

Ticket summary

Reviewer reasoning

Material note *

Provenance *

Choose every label that applies. At least one is required.

User-made Public domain Historical source or manuscript Author-provided: the work's author supplied this translation

References

A formal citation style is welcome but not required.

AI assistance disclosure

AI-assisted What was assisted?

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Evidence files

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Propose a text edit (creates a ticket)

This does not change the corpus directly. It creates a ticket with a unified diff attached.

Title

Summary

Reasoning

Edited text

Evidence links

Links are preferred when the evidence already exists online.

Evidence files

Up to 10 files and 20 MB for this ticket. HTML, XHTML, and SVG are rejected.

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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: 圓 # DISPLAY_TITLE: 圓 # AUTHOR: # TIMES: # PAGE_TITLE: 圓 # CATEGORIES: 欲尋「圓」之別解，宜閱「圓釋義」。圓形諸語《墨經》曰：「圓，一中同長也。」蓋於平面之上，有定點為中，凡周遭之跡，其去中也，長皆等同，是謂之圓。亦圓錐曲線之一種。自中至周之線，謂之半徑。周上兩端相接之線，謂之弦。弦之過中者為徑，徑之長，倍於半徑。圓周之一截，則謂之弧。圓之周與徑，其率有常，是為圓周率，今人以符爲記。古有「周三徑一」之說，其術甚略。至南北朝，疇人祖沖之始精其術，得「約率」為七分之二十二，「密率」為百一十三分之三百五十五。欲求圓積，《九章算術》自有其法，曰：「半周、半徑相乘得積步。」格致家爲算學之公式，曰：「徑自乘，四而分之，再以率乘之。」二半徑相夾而成角，謂之「心角」。二弦相交於周上成角，謂之「周角」。凡同弧所對，周角之度，常為心角之半也。至若二半徑與其間之弧，所圍之地，其形如扇，故名扇形。一弦與其對弧所圍之地，其形如弓，故名弓形。扇形之積、弧之長短，皆隨心角之大小以為增減。據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