1. 碟形弹簧圓柱坐标 方程：r = 5 theta = t*3600 z =(sin(3.5*theta-90))+24*t2.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*31 / 374.蝴蝶曲线球坐标 方程：rho = 8 * t theta = 360 * t * 4 phi = -360 * t * 85.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=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=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*209.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))^311.心脏线圓柱坐标方程：a=10 r=a*(1+cos(theta)) theta=t*36012.圆内螺旋线采用柱座标系 方程：theta=t*360 r=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*t y=10*sin(t*360) z=015.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)/b18.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)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 = 5 theta = t*1800 z =(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/b+1)*theta)z=023. Lissajous 曲线笛卡尔坐标系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(theta)-c*sin((a/b+1)*theta)26. 三尖瓣线笛卡尔坐标系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-x^2)28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)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=t*100-50solvex^3 = y^2*(2*a-x)for x32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)33.双曲余弦笛卡尔x = 6*t-3y = (exp(x)+exp(0-x))/234.双曲正弦笛卡尔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=(x^2-1)^3+137.八字曲线x = 2 * cos ( t *(2*180)) y = 2 * sin ( t *(5*360)) z = 038.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t39.圆x = cos ( t *(5*180)) y = sin ( t *(5*180)) z = 040.封闭球形环绕曲线球坐标系rho=2theta=360*tphi=t*360*1041.螺旋曲线笛卡尔坐标系x = 100*t * cos ( t *(5*180)) y = 100*t * sin ( t *(5*180)) z = 042.蛇形曲线笛卡尔坐标系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*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.另一个花曲线柱坐标系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;)柱坐标系theta = t*360r=10-(3*sin(theta*3))*2z=(r*sin(theta*3))*2 48.螺旋上升的椭圆线笛卡尔坐标系a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*1249.甚至这种螺旋花曲线柱坐标系theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*1650 鼓形线 柱坐标系r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10 51 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*10 53.螺旋上升曲线柱坐标系r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)54.蘑菇曲线球坐标系rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*2055. 8字曲线笛卡尔坐标系a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360)Y=b*sin(t*360)+a*sin(3*t*360)56.梅花曲线柱坐标系theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)57.桃形曲线球坐标系rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*1058.名稱:碟形弹簧 圓柱坐 r = 5 theta = t*3600 z =(sin(3.5*theta-90))+2459.环形二次曲线笛卡儿方程：x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8) 60 蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360^2)theta=t*360phi=log(1+t*360)*t*36061.正弦周弹簧笛卡尔：ang1=t*360ang2=t*360*20x=ang1*2*pi/360y=sin(ang1)*5+cos(ang2)z=sin(ang2)62.环形螺旋线笛卡尔坐标系x=（50+10*sin(t*360*15))*cos(t*360)y=(50+10*sin(t*360。