Pro/E 各种曲线方程集合theta = t*3600 
z =(sin(3.5*theta-90))+24*t
2.葉形线.
笛卡儿坐標标
方程：a=10 
x=3*a*t/(1+(t^3)) 
y=3*a*(t^2)/(1+(t^3))
3.螺旋线(Helical curve)
圆柱坐标（cylindrical） 
方程： r=t 
theta=10+t*(20*360) 
z=t*3
4.蝴蝶曲线
球坐标 
方程：rho = 8 * t 
theta = 360 * t * 4 
phi = -360 * t * 8
5.渐开线
采用笛卡尔坐标系
方程：r=1 
ang=360*t 
s=2*pi*r*t 
x0=s*cos(ang) 
y0=s*sin(ang) 
x=x0+s*sin(ang) 
y=y0-s*cos(ang) 
z=0
6.螺旋线.
笛卡儿坐标 
方程：x = 4 * cos ( t *(5*360)) 
y = 4 * sin ( t *(5*360)) 
z = 10*t
7.对数曲线
笛卡尔坐标系 
方程：z=0 
x = 10*t 
y = log(10*t+0.0001)
8.球面螺旋线采用球坐标系方程：rho=4 theta=t*180 phi=t*360*20
9.双弧外摆线卡迪尔坐标 方程： l=2.5 b=2.5 x=3*b*cos(t*360)+l*cos(3*t*360) Y=3*b*sin(t*360)+l*sin(3*t*360
10.星行线
卡迪尔坐标 
方程：a=5 
x=a*(cos(t*360))^3
y=a*(sin(t*360))^3
11.心脏线圓柱坐标方程：a=10 r=a*(1+cos(theta)) theta=t*360r=10+10*sin(6*theta) 
z=2*sin(6*theta)
13.正弦曲线笛卡尔坐标系方程：x=50*ty=10*sin(t*360)
z=0
14. 费马曲线（有点像螺纹线）数学方程：r＊r = a*a*theta圓柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2: theta=360*t*5a=4r=-a*sqrt(theta*180/pi)由于Pro/e只能做连续的曲线，所以只能分两次做
15.Talbot 曲线卡笛尔坐标方程：theta=t*360a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*cos(theta)/ay = (a*a-2*f+f*f*c*c)*sin(theta)/b
16.Rhodonea 曲线 采用笛卡尔坐标系 方程：theta=t*360*4 x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)
17.抛物线 笛卡儿坐标方程：x =(4 * t) y =(3 * t) + (5 * t ^2) z =018.螺旋线圓柱坐标方程：r = 5 theta = t*1800 z =(cos(theta-90))+24*t19.三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)20.外摆线迪卡尔坐标方程：theta=t*720*5b=8a=5x=(a+b)*cos(theta)-b*cos((a/b+1)*theta)y=(a+b)*sin(theta)-b*sin((a/b+1)*theta)z=021.Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)22.长短幅圆内旋轮线卡笛尔坐标方程：a=5b=7c=2.2theta=360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta)y=(a-b)*sin(theta)-c*sin((a/b-1)*theta)23.长短幅圆外旋轮线卡笛尔坐标方程：theta=t*360*10a=5b=3c=5x=(a+b)*cos(theta)-c*cos((a/b+1)*theta)y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)24.三尖瓣线a=10x = a*(2*cos(t*360)+cos(2*t*360))y = a*(2*sin(t*360)-sin(2*t*360))25.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x^2)26.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)27.阿基米德螺线柱坐标a=100theta = t*400r = a*theta28.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)29.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x30.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)31.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/232.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))
34.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+135.八字曲线x = 2 * cos ( t *(2*180)) y = 2 * sin ( t *(5*360)) z = 036.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t37.圆x = cos ( t *(5*180)) y = sin ( t *(5*180)) z = 038.封闭球形环绕曲线rho=2theta=360*tphi=t*360*1039.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180)) y = 100
ProE曲线方程.doc