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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: 垂直
# DISPLAY_TITLE: 垂直
# AUTHOR:
# TIMES:
# PAGE_TITLE: 垂直
# CATEGORIES:
垂直
者，成
直角
也。

觀乎
坐標幾何，二
線
之
斜度
相乘為負一也。

二
曲線
于相交點之
切線
垂直，曰二曲線垂直于相交點。

線垂直
平面
上直線者，曰線垂直于平面，而線曰平面之
法線
。

二平面上直線咸垂直，同乎二平面之法線垂直，曰二平面垂直。

線交
曲面
于一點，而線垂直于交點之
切面，曰線垂直曲面于相交點，而線曰曲面之
法線
。

觀
內積空間，垂直乃
正交
之別稱也。

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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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

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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: 垂直 # DISPLAY_TITLE: 垂直 # AUTHOR: # TIMES: # PAGE_TITLE: 垂直 # CATEGORIES: 垂直者，成直角也。觀乎坐標幾何，二線之斜度相乘為負一也。二曲線于相交點之切線垂直，曰二曲線垂直于相交點。線垂直平面上直線者，曰線垂直于平面，而線曰平面之法線。二平面上直線咸垂直，同乎二平面之法線垂直，曰二平面垂直。線交曲面于一點，而線垂直于交點之切面，曰線垂直曲面于相交點，而線曰曲面之法線。觀內積空間，垂直乃正交之別稱也。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