经典proe曲线方程

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1、经典Proe曲线方程一、圆柱坐标1.碟形弹簧r=5theta=t*3600z=(sin(3.5*theta-90))+24*t2.螺旋线(Helicalcurve)r=ttheta=10+t*(20*360)z=t*33.心脏线a=10r=a*(1+cos(theta))theta=t*3604.太阳线r=1.5*cos(50*theta)+1theta=t*360z=05.费马曲线（有点像螺纹线）数学方程：r*r=a*a*theta方程1:theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2:theta=360*t*5a

2、=4r=-a*sqrt(theta*180/pi)6.圆内螺旋线theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)7.螺旋线r=5theta=t*1800z=(cos(theta-90))+24*t8.三叶线a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)9.阿基米德螺线a=100theta=t*400r=a*theta10.对数螺线theta=t*360*2.2a=0.005r=exp(a*theta)11.梅花曲线1theta=t*360r=10+(3*

3、sin(theta*2.5))^212.梅花曲线2theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)13.花曲线theta=t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^214.碟形弹簧r=5theta=t*3600z=(sin(3.5*theta-90))+2415.肾形线a=2theta=t*360*180/pir=a*(1+2*sin(theta/2))z=016.一朵小花theta=-t*360+180r=cos(360*t/(1+t^8)*7)*3+61

4、7.人民币theta=-t*360+180r=cos(360*(t/(1+t^6))*6)*3+518.天蚕丝theta=t*3600r=(cos(360*t*20)*.5*t+1)*t19.红十字r=cos(360*t*4)*.5+1theta=t*360+9020.波浪花带r=5theta=t*720z=(sin(3.5*theta-90))+221.十字渐开线theta=t*360*4r=(cos(t*360*16)*0.5*t+1)*t22.蜗轨线theta=t*360*2r=cos(t*360*30)*t*0.5+t*223.鼓鼓形线r=6*

5、sin(t*360)+ttheta=t*360*20z=t*2024.小白兔theta=t*360-90r=cos(360*(t/(1+t^(6.5)))*6*t)*3.5+525.心电图r=sin(t*360*2)+.2theta=10+t*(6*360)z=t*326.五环theta=t*360*4r=cos(t*360*5)+127.大家好theta=t*360+180r=cos(360*t^3*6)*2+528.蜘蛛网theta=t*360*5r=t*sin(t*360*25)*5+829.螺旋花曲线theta=t*360*4r=10+(3*s

6、in(theta*2.5))^2z=t*1630.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)31.8字形曲线theta=t*360r=10+(8*sin(theta))^232.柱面正弦波线r=30theta=t*360z=5*sin(5*theta-90)33.阿基米德螺线的变形theta=360*2*(t-0.5)r=10*thetaz=034.篮子r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5二、笛卡尔坐标1.叶形线a=10x=3*a*t/(1+(t^3

7、))y=3*a*(t^2)/(1+(t^3))2.渐开线r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=03.螺旋线.x=4*cos(t*(5*360))y=4*sin(t*(5*360))z=10*t4.对数曲线z=0x=10*ty=log(10*t+0.0001)5.双弧外摆线l=2.5b=2.5x=3*b*cos(t*360)+l*cos(3*t*360)Y=3*b*sin(t*360)+l*sin(3*t*360)6.星行线a=5x=

8、a*(cos(t*360))^3y=a*(sin(t*360))^37.小蜜蜂x=cos(t*