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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: 尺規作圖
# DISPLAY_TITLE: 尺規作圖
# AUTHOR:
# TIMES:
# PAGE_TITLE: 尺規作圖
# CATEGORIES:
尺規作圖，源於古
希臘
之命題，謂於有限步中，以直尺與
規
作一圖也。

公則

此謂
直尺
與
規，非實存之物也，蓋抽象之名也，為理想之物。

一、凡
直尺
者，無刻度之尺也，亦不可刻記；僅有一側可用，然其長之無窮。
可過二定點作一線

二、凡
規
者，圓規也，其開合亦無窮也。
可以一定點為心，一長為徑作圓

古希臘三難題

自古希臘傳以難解之題也，多人欲解之而不得，然後有人證此三者於
歐氏幾何
中不得解也。

化圓為方

給定一圓，作一方形與圓等積。

三等分角

給定一角，三等分之。

倍立方積

給定一正方體，倍其體積。

延伸

圓規作圖

捨直尺，僅以規作圖也。

一六七二年，
佐治·莫爾
證：「使『作直線』解以『作直線上任二點』，則凡尺規作圖能作之圖，獨以規亦可作」，蓋此法不可作直線之故也。

直尺作圖

捨規，僅以直尺作圖也。

單以直尺不可盡作尺規可作之圖也。若輔以任一圓與其心，則亦可盡也。

生鏽圓規

以直尺與開而不可更其徑之規作圖也，取其生鏽而不可開合之意。

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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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: 尺規作圖 # DISPLAY_TITLE: 尺規作圖 # AUTHOR: # TIMES: # PAGE_TITLE: 尺規作圖 # CATEGORIES: 尺規作圖，源於古希臘之命題，謂於有限步中，以直尺與規作一圖也。公則此謂直尺與規，非實存之物也，蓋抽象之名也，為理想之物。一、凡直尺者，無刻度之尺也，亦不可刻記；僅有一側可用，然其長之無窮。可過二定點作一線二、凡規者，圓規也，其開合亦無窮也。可以一定點為心，一長為徑作圓古希臘三難題自古希臘傳以難解之題也，多人欲解之而不得，然後有人證此三者於歐氏幾何中不得解也。化圓為方給定一圓，作一方形與圓等積。三等分角給定一角，三等分之。倍立方積給定一正方體，倍其體積。延伸圓規作圖捨直尺，僅以規作圖也。一六七二年，佐治·莫爾證：「使『作直線』解以『作直線上任二點』，則凡尺規作圖能作之圖，獨以規亦可作」，蓋此法不可作直線之故也。直尺作圖捨規，僅以直尺作圖也。單以直尺不可盡作尺規可作之圖也。若輔以任一圓與其心，則亦可盡也。生鏽圓規以直尺與開而不可更其徑之規作圖也，取其生鏽而不可開合之意。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