roE各种曲线方程集合

最全proe（creo）方程式曲线和表达式作者：登科螺旋曲线建立环境：Pro/E软件、笛卡尔坐标系半径是10，螺距是2，总长是20的螺旋线x=10*cos(t*10*360)y=10*sin(t*10*360)z=20*t名称：正弦曲线建立环境：Pro/E软件、笛卡尔坐标系x=50*ty=10*sin(t*360)z=0名称：螺旋线(Helical curve)建立环境：PRO/E；圆柱坐标（cylindrical）r=ttheta=10+t*(20*360)z=t*3蝴蝶曲线球坐标PRO/E方程：rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8Rhodonea 曲线采用笛卡尔坐标系theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta) y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta) *********************************圆内螺旋线采用柱座标系theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)渐开线的方程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=0对数曲线z=0x = 10*ty = log(10*t+0.0001)球面螺旋线（采用球坐标系）rho=4theta=t*180phi=t*360*20名称：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)名称：星行线卡迪尔坐标方程：a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3名稱:心臟線建立環境:pro/e,圓柱坐標a=10r=a*(1+cos(theta)) theta=t*360名稱:葉形線建立環境:笛卡儿坐標a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))笛卡儿坐标下的螺旋线x = 4 * cos ( t *(5*360)) y = 4 * sin ( t *(5*360)) z = 10*t一抛物线笛卡儿坐标x =(4 * t)y =(3 * t) + (5 * t ^2) z =0名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t 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.螺旋线圓柱坐标方程：r = 5theta = t*1800z =(cos(theta-90))+24*t三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)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=0Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)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)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)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))概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x^2)箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)阿基米德螺线柱坐标a=100theta = t*400r = a*theta对数螺线柱坐标theta = t*360*2.2 a = 0.005r = exp(a*theta)八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 0椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2笛卡尔方程r=5+3.3*sin(t*180)+t theta=t*360*10z=t*10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)x=（50+10*sin(t*360*15)）*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)内接弹簧笛卡尔：x=2*cos(t*360*10)+cos(t*180*10)y=2*sin(t*360*10)+sin(t*180*10)z=t*6ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60 phi=t*7200手把曲线笛卡尔：thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1) x=r*cos(thta0)y=r1*sin(thta1)z=0圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5篮子圆柱齿轮齿廓的渐开线方程：笛卡尔坐标afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注：afa为压力角，取值范围是0到60，10为基圆半径笛卡尔：theta=t*360r=30+10*sin(theta*30) z=0太阳线r=1.5*cos(50*theta)+1 theta=t*360z=0迪卡尔坐标x=200*t*sin(t*3600) y=250*t*cos(t*3600) z=300*t*sin(t*1800)蕊theta = t*360r=5-(3*sin(theta*3))^2 z=(r*sin(theta*3))^2。

钣金件展开长度计算的推导在Pro/E钣金模块中，计算折弯部分的展开长度公式是：DL＝(pi/2*Ri+y_factor*t)*a/90式中：DL 板材的中性层长度Ri 折弯内径y_factor Y轴比例因子T 板材厚度a 折弯部分相对的圆心角以下是推导过程：其中，k为中性层系数（即内壁到中性层距离与板厚的比值）DL＝2＊pi（Ri+k*T)*a/360＝(pi*Ri+pi*k*T)*a/180＝ (pi/2*Ri+pi/2*k*T)*a/90令pi/2*k=y_factor则 DL＝(pi/2*Ri+y_factor*T)*a/90我个人认为，其中的k因子对我们计算展开长度有直接意义，所以在设定折弯许可的时候，设定k因子就可以了。

k值针对不同的材料有不同的值。

普通钢板k值为0.45，实际取0.5，误差极小。

Pro/E 各种曲线方程集合1.碟形弹簧圓柱坐标方程：r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t图12.葉形线.笛卡儿坐標标方程：a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))图23.螺旋线(Helical curve)圆柱坐标（cylindrical）方程： r=ttheta=10+t*(20*360)z=t*3图34.蝴蝶曲线球坐标方程：rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8图45.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(ang)x=x0+s*sin(ang)y=y0-s*cos(ang)z=0图56.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图67.对数曲线笛卡尔坐标系方程：z=0x = 10*ty = log(10*t+0.0001)图78.球面螺旋线采用球坐标系方程：rho=4theta=t*180phi=t*360*20图89.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)图910.星行线卡迪尔坐标方程：a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3图1011.心脏线圓柱坐标方程：a=10r=a*(1+cos(theta))theta=t*360Pro/E 各种曲线方程集合（二）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=0图2223. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)图2324.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)图2425.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)图2526. 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))图2627.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x^2)图2728.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)图2829.阿基米德螺线柱坐标a=100theta = t*400r = a*theta图2930.对数螺线柱坐标theta = t*360*2.2 a = 0.005r = exp(a*theta)图3031.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x图3132.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)图3233.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2图3334.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2图3435.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))图3536.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1图3637.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0图3738.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t图3839.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0图3940.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10图4041.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 0Pro/E 各种曲线方程集合（三）42.蛇形曲线x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)图4243.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2图4344.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)图4445.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2图4546.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2图4647.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))^2图4748.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12图4849.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16图4950 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10图5051 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)图5152 簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*10图5253.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)图5354.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*20图5455. 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)图55 56.梅花曲线theta=t*360r=100+50*cos(5*theta) z=2*cos(5*theta)图5657.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10图5758.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24图5859.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)图5960 蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360^2)theta=t*360phi=log(1+t*360)*t*360图6061.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)Pro/E 各种曲线方程集合（四）62.环形螺旋线x=（50+10*sin(t*360*15))*cos(t*360)y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)图6263.内接弹簧x=2*cos(t*360*10)+cos(t*180*10)y=2*sin(t*360*10)+sin(t*180*10)z=t*6图6364.多变内接式弹簧x=3*cos(t*360*8)-1.5*cos(t*480*8)y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*8图6465.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)图6566. ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60phi=t*7200图6667. 手把曲线thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1) x=r*cos(thta0)y=r1*sin(thta1)z=0图6768.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5图6869. 圆柱齿轮齿廓的渐开线方程：afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注：afa为压力角，取值范围是0到60，10为基圆半径。

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+(t^3))y=3*a*(t^2)/(1+(t^3))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(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=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=5x=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，就变成这样了）15.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)/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+(10-6)*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/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(theta)-c*sin((a/b+1)*theta)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)柱坐标a=100theta = t*400r = a*theta30.对数螺线柱坐标theta = t*360*2.2 a = 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=(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)+1 theta=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)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r=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 = a*cos(theta)y = b*sin(theta)z=t*1249.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2 z = t*1650 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+t theta=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=t^10theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)54.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*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)56.梅花曲线theta=t*360r=100+50*cos(5*theta) z=2*cos(5*theta)57.桃形曲线rho=t^3+t*(t+1) theta=t*360phi=t^2*360*10*1058.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(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x=（50+10*sin(t*360*15))*cos(t*360) y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)63.内接弹簧x=2*cos(t*360*10)+cos(t*180*10)y=2*sin(t*360*10)+sin(t*180*10)z=t*664.多变内接式弹簧x=3*cos(t*360*8)-1.5*cos(t*480*8) y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*865.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)66. ufo （漩涡线）球坐标：rho=t*20^2 theta=t*log(30)*60 phi=t*720067. 手把曲线thta0=t*360 thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1) x=r*cos(thta0)y=r1*sin(thta1)z=068.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*569. 圆柱齿轮齿廓的渐开线方程：afa=60*tx=10*cos(afa)+pi*10*afa/180*sin(afa)x=10*sin(afa)-pi*10*afa/180*cos(afa)z=0注：afa为压力角，取值范围是0到60，10为基圆半径。

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+(t^3))y=3*a*(t^2)/(1+(t^3))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(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=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=5x=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=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*4x=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 = 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/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(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-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=(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)扭转蛇形曲线x=2*cos(t*360*3)*ty=2*sin(t*360*3)*tz=(sqrt(sqrt(sqrt(t))))^3*543.8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 = a*cos(theta)y = b*sin(theta)z=t*1249.甚至这种螺旋花曲线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=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)54.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*20Rho:表示锚点到二次曲线两端点的距离与其在二次曲线上投影点到两端点距离的比值。

z=0x = 10*ty = log(10*t+0.0001)球面螺旋线（采用球坐标系）rho=4theta=t*180phi=t*360*20名称：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)名称：星行线卡迪尔坐标方程：a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3名称:心脏线建立环境:pro/e,圆柱坐标a=10r=a*(1+cos(theta))theta=t*360名称:叶形线建立环境:笛卡儿坐标a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))笛卡儿坐标下的螺旋线x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360))z = 10*t一抛物线x =(4 * t)y =(3 * t) + (5 * t ^2)z =0名称:碟形弹簧建立环境:pro/e圆柱坐r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t方程: 阿基米德螺旋线x = (a +f sin (t))cos(t)/ay = (a -2f +f sin (t))sin(t)/bpro/e关系式、函数的相关说明资料？关系中使用的函数数学函数下列运算符可用于关系（包括等式和条件语句）中。

关系中也可以包括下列数学函数：cos () 余弦tan () 正切sin () 正弦sqrt () 平方根asin () 反正弦acos () 反余弦atan () 反正切sinh () 双曲线正弦cosh () 双曲线余弦tanh () 双曲线正切注释：所有三角函数都使用单位度。

log() 以10为底的对数ln() 自然对数exp() e的幂abs() 绝对值ceil() 不小于其值的最小整数floor() 不超过其值的最大整数可以给函数ceil和floor加一个可选的自变量，用它指定要圆整的小数字数。

方程名称坐标系内容碟形弹簧圆柱r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t叶形线笛卡尔a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))螺旋线圆柱r=ttheta=10+t*(20*360)z=t*3蝴蝶曲线球rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8渐开线笛卡尔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=0螺旋线笛卡尔x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360))z = 10*t对数曲线笛卡尔z=0x = 10*ty = log(10*t+0.0001)球面螺旋线球rho=4theta=t*180phi=t*360*20双弧外摆线笛卡尔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)星形线笛卡尔a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3心脏线圆柱a=10r=a*(1+cos(theta))theta=t*360圆内螺旋线圆柱theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)正弦曲线笛卡尔x=50*ty=10*sin(t*360)z=0费马曲线圆柱数学方程：r＊r = a*a*theta由于Pro/e只能做连续的曲线，所以只能分两次做。

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)Talbot 曲线笛卡尔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)/bRhodonea 曲线笛卡尔theta=t*360*4x=25+(10-6)*cos(theta)+10*cos((10/6-1)*theta)y=25+(10-6)*sin(theta)-6*sin((10/6-1)*theta)拋物线笛卡尔x =(4 * t)y =(3 * t) + (5 * t ^2)z =0螺旋线圆柱r = 5theta = t*1800z =(cos(theta-90))+24*t三叶线圆柱a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)外摆线笛卡尔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=0Lissajous 曲线笛卡尔theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)长短幅圆内旋轮线笛卡尔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)长短幅圆外旋轮线笛卡尔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)三尖瓣线笛卡尔a=10x = a*(2*cos(t*360)+cos(2*t*360))y = a*(2*sin(t*360)-sin(2*t*360))概率曲线笛卡尔x = t*10-5y = exp(0-x^2)箕舌线笛卡尔 a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)阿基米得螺线柱a=100theta = t*400r = a*theta对数螺线柱theta = t*360*2.2a = 0.005r = exp(a*theta)蔓叶线笛卡尔a=10y=t*100-50solvex^3 = y^2*(2*a-x)for xtan曲线笛卡尔x = t*8.5 -4.25y = tan(x*20)双曲余弦笛卡尔x = 6*t-3y = (exp(x)+exp(0-x))/2双曲正弦笛卡尔x = 6*t-3y = (exp(x)-exp(0-x))/2双曲正切笛卡尔x = 6*t-3y =(exp(x)-exp(0-x))/(exp(x)+exp(0-x))一峰三驻点曲线笛卡尔x = 3*t-1.5y=(x^2-1)^3+1八字曲线笛卡尔x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0螺旋曲线柱坐标r=t*(10*180)+1theta=10+t*(20*180)z=t椭圆笛卡尔x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0封闭球形环绕曲线柱坐标rho=2theta=360*tphi=t*360*10螺旋曲线笛卡尔x = 100*t * cos ( t *(5*180))y = 100*t * sin ( t *(5*180))z = 0蛇形曲线笛卡尔x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)字形曲线柱theta = t*360r=10+(8*sin(theta))^2椭圆曲线笛卡尔 a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)梅花曲线柱theta = t*360r=10+(3*sin(theta*2.5))^2花曲线1笛卡尔theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2花曲线2笛卡尔theta = t*360r=10-(3*sin(theta*3))^2z=(r*sin(theta*3))^2螺旋上升的椭圆线笛卡尔 a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12鼓形线笛卡尔r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10长命锁曲线笛卡尔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)簪形线球rho=200*ttheta=900*tphi=t*90*10螺旋上升曲线笛卡尔r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)蘑菇曲线球rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*208字曲线笛卡尔a=1b=1x=3*b*cos(t*360)+a*cos(3*t*360)Y=b*sin(t*360)+a*sin(3*t*360)梅花曲线笛卡尔theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)桃形曲线球rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10名称:碟形弹簧圆柱r = 5theta = t*3600z =(sin(3.5*theta-90))+24环形二次曲线笛卡尔x=50*cos(t*360)y=50*sin(t*360)z=10*cos(t*360*8)蝶线球rho=4*sin(t*360)+6*cos(t*360^2)theta=t*360phi=log(1+t*360)*t*360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)环形螺旋线笛卡尔x=（50+10*sin(t*360*15))*cos(t*360)y=(50+10*sin(t*360*15))*sin(t*360)z=10*cos(t*360*5)内接弹簧笛卡尔x=2*cos(t*360*10)+cos(t*180*10)y=2*sin(t*360*10)+sin(t*180*10)z=t*6多变内接式弹簧笛卡尔x=3*cos(t*360*8)-1.5*cos(t*480*8)y=3*sin(t*360*8)-1.5*sin(t*480*8)z=t*8柱面正弦波线柱r=30theta=t*360z=5*sin(5*theta-90)ufo（漩涡线）球rho=t*20^2theta=t*log(30)*60phi=t*7200手把曲线笛卡尔thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1)x=r*cos(thta0)y=r1*sin(thta1)z=0篮子圆柱r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5圆柱齿轮齿廓的渐开线笛卡尔afa为压力角，取值范围是0到60，10为基圆半径。

各种曲线方程集合1.碟形弹簧圓柱坐标方程：r = 5theta = t*3600z =(sin(3.5*thet a-90))+24*t2.葉形线.笛卡儿坐標标方程：a=10x=3*a*t/(1+(t ^3))y=3*a*(t^2)/(1 +(t^3))3.螺旋线(Helical curve)圆柱坐标（cylin drical）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(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*3 60))z = 10*t7.对数曲线笛卡尔坐标系方程：z=0x = 10*ty = log(10*t+0.000 1)采用球坐标系方程：rho=4 theta=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=5x=a*(cos(t*360))^3 y=a*(sin(t*360))^3 11.心脏线圓柱坐标方程：a=10r=a*(1+cos(theta)) theta=t*360采用柱座标系方程：theta=t*360 r=10+10*sin(6*thet a)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=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)卡笛尔坐标方程：theta=t*360 a=1.1b=0.666c=sin(theta)f=1x = (a*a+f*f*c*c)*c os(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*4x=25+(10-6)*c os(theta)+10*cos((1 0/6-1)*theta)y=25+(10-6)*si n(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-9 0))+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(th eta)-b*cos((a/b+1)* theta)y=(a+b)*sin(th eta)-b*sin((a/b+1)* theta)z=023. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*thet a+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)*thet a)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)*thet a)y=(a+b)*sin(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-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*thet a)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x = 6*t-3y = (exp(x)+ex p(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=(x^2-1)^3+137.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t * (5*360))z = 0r=t*(10*180)+ 1theta=10+t*(20 *180)z=t39.圆x = cos ( t *(5*18 0))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 = 0x = 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(th eta))^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(th eta*2.5))^2线theta = t*360r=10-(3*sin(the ta*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(the ta*3))^2z=(r*sin(theta* 3))^248.螺旋上升的椭圆线a = 10b = 20theta = t*360* 3x = a*cos(thet a)y = b*sin(thet a)z=t*1249.甚至这种螺旋花曲线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*c os(b)+rr3*cos(c)y=rr1*sin(a)+rr2*si n(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=t^10theta=t^3*360 *6*3+t^3*360*3*3z=t^3*(t+1)54.蘑菇曲线rho=t^3+t*(t+ 1)theta=t*360phi=t^2*360*2 0*2055. 8字曲线a=1b=1x=3*b*cos(t*3 60)+a*cos(3*t*360)Y=b*sin(t*360) +a*sin(3*t*360)56.梅花曲线theta=t*360r=100+50*cos(5*th eta)z=2*cos(5*theta)57.桃形曲线rho=t^3+t*(t+ 1)theta=t*360phi=t^2*360*1 0*1058.名稱:碟形弹簧建立環境:pro/e圓柱坐r = 5theta = t*3600z =(sin(3.5*thet a-90))+2459.环形二次曲线笛卡儿方程：x=50*cos(t*36 0)y=50*sin(t*36 0)z=10*cos(t*360 *8)60 蝶线球坐标：rho=4*sin(t*36 0)+6*cos(t*360^2)theta=t*360phi=log(1+t*36 0)*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x=（50+10*sin (t*360*15))*cos(t*3 60)y=(50+10*sin(t *360*15))*sin(t*36 0)z=10*cos(t*360 *5)63.内接弹簧x=2*cos(t*360 *10)+cos(t*180*10)y=2*sin(t*360* 10)+sin(t*180*10)z=t*664.多变内接式弹簧x=3*cos(t*360 *8)-1.5*cos(t*480* 8)y=3*sin(t*360* 8)-1.5*sin(t*480*8)z=t*865.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)66. ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30) *60phi=t*720067. 手把曲线thta0=t*360thta1=t*360*6r0=400r1=40r=r0+r1*cos(thta1)x=r*cos(thta0)y=r1*sin(thta1)z=068.篮子圆柱坐标r=5+0.3*sin(t* 180)+ttheta=t*360*30z=t*569. 圆柱齿轮齿廓的渐开线方程：afa=60*tx=10*cos(afa)+pi*1 0*afa/180*sin(afa)x=10*sin(afa)-pi*10 *afa/180*cos(afa)z=0注：afa为压力角，取值范围是0到6 0，10为基圆半径。