Corpus Viewer

Work: clean Viewing: Source

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: 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

Annotation-system text

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References

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AI assistance disclosure

AI-assisted What was assisted?

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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

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

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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.

Optional contact details

Stored separately and encrypted. Deleted after 30 days or when the ticket closes.

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Save this ticket key on this device

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Ticket ID:

Ticket key (save this):

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