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Create annotation system (creates a ticket)

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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


# 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π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

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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

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AI assistance disclosure

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Propose a text edit (creates a ticket)

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Title

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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: 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π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