1、1.碟形弹簧圓柱坐标方程：r = 5theta = t*3600z =(sin(3.5*theta-90)+24*t2.葉形线.笛卡儿坐標标方程：a=10x=3*a*t/(1+(t3)y=3*a*(t2)/(1+(t3)3.螺旋线(Helical curve)圆柱坐标（cylindrical）方程： r=ttheta=10+t*(20*360)z=t*34.蝴蝶曲线球坐标方程：rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85.渐开线采用笛卡尔坐标系方程：r=1ang=360*ts=2*pi*r*tx0=s*cos(ang)y0=s*sin(an
2、g)x=x0+s*sin(ang)y=y0-s*cos(ang)z=06.螺旋线.笛卡儿坐标方程：x = 4 * cos ( t *(5*360)y = 4 * sin ( t *(5*360)z = 10*t7.对数曲线笛卡尔坐标系方程：z=0x = 10*ty = log(10*t+0.0001)8.球面螺旋线采用球坐标系方程：rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标方程： 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)10.星行线卡迪尔坐标方程：a=5
3、x=a*(cos(t*360)3y=a*(sin(t*360)311.心脏线圓柱坐标方程：a=10r=a*(1+cos(theta)theta=t*36012.圆内螺旋线采用柱座标系方程：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=014.太阳线（这本来是做别的曲线的，结果做错了，连方程也忘了，不好意思）15.费马曲线（有点像螺纹线）数学方程：rr = a*a*theta圓柱坐标方程 1: theta=360*t*5a=4r=a*sqrt(theta*180/pi)方
4、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16.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)/b17.4叶线（一个方程做的，没有复制）18.Rhodonea 曲线采用笛卡尔坐标系方程：theta=t*360*4x=25+(10-6)*cos(theta)+10*cos(10/6-1)*theta)y=25+(10
5、-6)*sin(theta)-6*sin(10/6-1)*theta)19. 抛物线笛卡儿坐标方程：x =(4 * t)y =(3 * t) + (5 * t 2)z =020.螺旋线圓柱坐标方程：r = 5theta = t*1800z =(cos(theta-90)+24*t21.三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)22.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
6、/b+1)*theta)z=023. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)24.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)25.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(
7、theta)-c*sin(a/b+1)*theta)26. 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)27.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x2)28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a3/(x2+4*a2)29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)31.蔓叶线笛卡儿坐标系a=10y=
8、t*100-50solvex3 = y2*(2*a-x)for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x)/234.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x)/235.双曲正切x = 6*t-3y = (exp(x)-exp(0-x)/(exp(x)+exp(0-x)36.一峰三驻点曲线x = 3*t-1.5y=(x2-1)3+137.八字曲线x = 2 * cos ( t *(2*180)y = 2 * sin ( t *(5*360)z = 038.螺
9、旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t39.圆x = cos ( t *(5*180)y = sin ( t *(5*180)z = 040.封闭球形环绕曲线rho=2theta=360*tphi=t*360*1041.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180)y = 100*t * sin ( t *(5*180)z = 042.蛇形曲线x = 2 * cos ( (t+1) *(2*180)y = 2 * sin ( t *(5*360)z = t*(t+1)43.8字形曲线柱坐标theta = t*360r=10+(8*
10、sin(theta)244.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5)246.另一个花曲线theta = t*360r=10-(3*sin(theta*3)2z=4*sin(theta*3)247.改一下就成为空间感更强的花曲线了;)theta = t*360r=10-(3*sin(theta*3)2z=(r*sin(theta*3)248.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x
11、= a*cos(theta)y = b*sin(theta)z=t*1249.五星螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5)2z = t*1650 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*1051 长命锁曲线笛卡尔方程：a=1*t*359.5b=q2*t*360c=q3*t*360rr1=w1rr2=w2rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c)y=rr1*sin(a)+rr2*sin(b)+rr3*sin(c)52 簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*1053.螺旋上升曲线r=t10theta=t3*360*6*3+t3*360*3*3z=t3*(t+1)54.蘑菇曲线rho=t3+t*(t+1)theta=t*360phi=t2*360*20*2055. 8字曲线a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360)Y=b*sin(t*360)+a*sin(3*t*360)
