Forgot password
 Register account
View 227|Reply 1

[几何] 用cochleoid将圆弧拉直

[Copy link]

3200

Threads

7827

Posts

52

Reputation

Show all posts

hbghlyj posted 2023-3-16 05:09 |Read mode
木直中绳,輮以为轮,其曲中规。
Rectification of the Circular Arc by Cochleoidal Curve
cochleoid的端点为$O,H$,直线$OH$与圆弧相切于$O$。
1、点$Q$是cochleoid与$OC$的交点。
2、连接$QH$。
3、过 $C$ 点作 $QH$ 的平行线与直线 $OH$ 相交于 $T$ 点。
则圆弧$OC$与线段$OT$等长。
1.gif

3200

Threads

7827

Posts

52

Reputation

Show all posts

original poster hbghlyj posted 2023-3-16 05:24

圆弧的一端固定并与定直线相切,另一端的轨迹为cochleoid

cochleoide animation[1].gif
圆弧(粗体)半径递减,长度不变。
mathcurve.com

Quick Reply

Advanced Mode
B Color Image Link Quote Code Smilies
You have to log in before you can reply Login | Register account

$\LaTeX$ formula tutorial

Mobile version

2025-7-15 14:13 GMT+8

Powered by Discuz!

Processed in 0.012566 seconds, 25 queries