ProE 各种曲线方程集合(二)

proe4.0曲线方程大全

1.碟形弹簧圓柱坐标方程：r = 5 theta = t*3600z =(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=ttheta=10+t*(20*360)z=t*34.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*ty = log(10*t+0.0001)8.球面螺旋线采用球坐标系方程：rho=4theta=t*180 phi=t*360*209.双弧外摆线卡迪尔坐标方程： l=2.5 b=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))^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*5 a=4r=a*sqrt(theta*180/pi) 方程2: theta=360*t*5 a=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*360 a=1.1 b=0.666 c=sin(theta) f=1x = (a*a+f*f*c*c)*cos(theta)/a y = (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 = 5 theta = t*1800 z =(cos(theta-90))+24*t21.三叶线圆柱坐标方程：a=1 theta=t*380 b=sin(theta)r=a*cos(theta)*(4*b*b-1)22.外摆线迪卡尔坐标方程：theta=t*720*5 b=8 a=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*360 a=1 b=1 c=100 n=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=5 b=7 c=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*10 a=5 b=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 = 1 x = -5 + t*10y = 8*a^3/(x^2+4*a^2)29.阿基米德螺线柱坐标 a=100 theta = t*400 r = 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*100-50 solvex^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-1.5 y=(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=2 theta=360*t phi=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*360 r=10+(8*sin(theta))^244.椭圆曲线笛卡尔坐标系a = 10b = 20 theta = t*360 x = 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))^2 z=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))^2 z=(r*sin(theta*3))^248.螺旋上升的椭圆线 a = 10 b = 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*10 z=t*1051 长命锁曲线笛卡尔方程： a=1*t*359.5 b=q2*t*360 c=q3*t*360 rr1=w1 rr2=w2 rr3=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*t theta=900*t phi=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*360 phi=t^2*360*20*2055. 8字曲线 a=1 b=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*360 phi=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*360 ang2=t*360*20 x=ang1*2*pi/360 y=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=30 theta=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*360thta1=t*360*6 r0=400 r1=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)+t theta=t*360*30 z=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。

PROE中各种曲线的方程

z = 0
38.螺旋曲线
r=t*(10*180)+1
theta=10+t*(20*180)
z=t
39.圆
x = cos ( t *(5*180))
y = sin ( t *(5*180))
z = 0
40.封闭球形环绕曲线
rho=2
theta=360*t
phi=t*360*10
a=1.1
b=0.666
c=sin(theta)
f=1
x = (a*a+f*f*c*c)*cos(theta)/a
y = (a*a-2*f+f*f*c*c)*sin(theta)/b
18.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)
61.正弦周弹簧
笛卡尔：
ang1=t*360
ang2=t*360*20
x=ang1*2*pi/360
y=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)
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.

proe(creo)曲线方程式和详细表达式

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。

PROE各种常见曲线方程及图示解析

PRO/E各种常见曲线方程及图示Eagles fly alone, but sheep flock together.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=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 * t theta = 360 * t * 4 phi = -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=0Eagles fly alone, but sheep flock together.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*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)Eagles fly alone, but sheep flock together.10.星行线卡迪尔坐标方程：a=5x=a*(cos(t*360))^3 y=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=0Eagles fly alone, but sheep flock together.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)/b16.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)17.抛物线笛卡儿坐标方程：x =(4 * t)y =(3 * t) + (5 * t ^2)z =0Eagles fly alone, but sheep flock together.18.螺旋线圓柱坐标方程：r = 5theta = t*1800z =(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=0Eagles fly alone, but sheep flock together.21.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)*thet a)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))/2Eagles fly alone, but sheep flock together.32.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/233.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-1.5 y=(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=tEagles fly alone, but sheep flock together.37.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*t * sin ( t *(5*180)) z = 040.蛇形曲线x = 2 * cos ( (t+1) *(2*180)) y = 2 * sin ( t *(5*360))z = t*(t+1)Eagles fly alone, but sheep flock together.41.8字形曲线柱坐标theta =t*360r=10+(8*sin(theta))^242.椭圆曲线笛卡尔坐标系 a = 10 b = 20theta = t*360 x = a*cos(theta) y = b*sin(theta)43.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^244.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2 z=4*sin(theta*3)^2Eagles fly alone, but sheep flock together.45.螺旋上升的椭圆线a = 10b = 20theta = t*360*3 x = a*cos(theta) y = b*sin(theta) z=t*1246.螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2 z = t*1647. 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+t theta=t*360*10 z=t*1048. 长命锁曲线笛卡尔方程：a=1*t*359.5 b=q2*t*360c=q3*t*360 rr1=w1 rr2=w2 rr3=w3x=rr1*cos(a)+rr2*cos(b)+rr3*cos(c) y=rr1*sin(a)+rr2*sin(b)+rr3*49. 簪形线球坐标方程： rho=200*t theta=900*t phi=t*90*1050.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)51.蘑菇曲线rho=t^3+t*(t+1) theta=t*360phi=t^2*360*20*2052. 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)53.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)54.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*1055.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 56.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)Eagles fly alone, but sheep flock together.57. 蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360^2) theta=t*360phi=log(1+t*360)*t*36058.正弦周弹簧笛卡尔：ang1=t*360 ang2=t*360*20 x=ang1*2*pi/360y=sin(ang1)*5+cos(ang2) z=sin(ang2)59.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)Eagles fly alone, but sheep flock together.60.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*661.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*862.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)63. ufo（漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60 phi=t*7200Eagles fly alone, but sheep flock together.64. 手把曲线thta0=t*360 thta1=t*360*6 r0=400 r1=40r=r0+r1*cos(thta1) x=r*cos(thta0) y=r1*sin(thta1) z=065.篮子圆柱坐标r=5+0.3*sin(t*180)+t theta=t*360*30 z=t*566. 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。

PROE常用曲线方程

PROE 常用曲线方程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)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*360图1112.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)图1213.正弦曲线笛卡尔坐标系方程：x=50*ty=10*sin(t*360)z=0图1314.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*t图2021.三叶线方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)图2122.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)图3031.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))/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))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)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*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*20^2theta=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*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。

ProE各种曲线方程集合(超全)

14.j pg
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*5 a=4 r=a*sqrt(theta*180/pi)方程2:theta=360*t*5 a=4 r=-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
z=t
39.圆x=cos(t *(5*180)) y = sin ( t *(5*180)) z = 0
40.封闭球形环绕曲线rho=2 theta=360*t phi=t*360*10
41.柱坐标螺旋曲线
29.阿基米德螺线柱坐标
a=100 theta = t*400 r=a*theta
30.对数螺线
柱坐标
theta = t*360*2.2 a = 0.005 r=exp( a*theta)
30.jpg
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J,_y
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y
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—11,II 1 1
X
31.蔓叶线
笛卡儿坐标系
a=10 y=t*100-50 solve
Y=3*b*sin(t*360)+l*sin(3*t*360)
函此主题相关图片如下：9.jpg
10.星行线
卡迪尔坐标方程：a=5
x=a*(cos(t*360))A3 y=a*(sin(t*360))A3
函此主题相关图片如下：I0.j pg
11.心脏线
圓柱坐标方程：a=10
r=a*(1+cos(theta))
23. Lissajous曲线
theta=t*360 a=1 b=1 c=100 n=3 x=a*sin(n*theta+c) y=b*sin(theta)

ProE-各种曲线方程集合(超全)

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)
此主题相关图片如下：18.jpg
19.抛物线
笛卡儿坐标
方程：x =(4 * t)
y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)
此主题相关图片如下：25.jpg
26.三尖瓣线
a=10
x = a*(2*cos(t*360)+cos(2*t*360))
y = a*(2*sin(t*360)-sin(2*t*360))
此主题相关图片如下：26.jpg
27.概率曲线！
y=a*(sin(t*360))^3
此主题相关图片如下：10.jpg
11.心脏线
圓柱坐标
方程：a=10
r=a*(1+cos(theta))
theta=t*360
此主题相关图片如下：11.jpg
12.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)
圓柱坐标
方程1: theta=360*t*5
a=4
r=a*sqrt(theta*180/pi)
方程2: theta=360*t*5
a=4
r=-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
此主题相关图片如下：15.jpg

ProeCreoUG曲线方程大全及关系式、函数的说明资料

Proe Creo UG 曲线方程大全及关系式、函数的说明资料Pro/E 各种曲线方程集合 1.碟形弹簧圓柱坐标方程：r = 5 theta = t*3600z =(sin(3.5*theta-90))+24*t图1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 * t theta = 360 * t * 4 phi = -360 * t * 8图4图5笛卡儿坐标方程：x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360))z = 10*t图611.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）Array22.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22 23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta) Array图23 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)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*2.2a = 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34 35.双曲正切y = (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37r=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39 40.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50 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)图5152 簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*10图52 53.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5556.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65 66. 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。

ProeCreoUG曲线方程大全及关系式、函数的说明资料

Proe Creo UG 曲线方程大全及关系式、函数的说明资料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.圆柱坐标（cylindrical ）方程： r=ttheta=10+t*(20*360) z=t*3图3图5笛卡儿坐标方程：x = 4 * cos ( t *(5*360))y = 4 * sin ( t *(5*360))z = 10*t图611.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）Array22.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22 23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)图23 24.长短幅圆内旋轮线卡笛尔坐标b=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24 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)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26 27.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x^2)图27 28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)图28 29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta图29 30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)图30 31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x图31 32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)图32 33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2图33 34.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2图34 35.双曲正切y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))图35 36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1图36 37.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0图37r=t*(10*180)+1theta=10+t*(20*180)z=t图38 39.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0图39 40.封闭球形环绕曲线rho=2phi=t*360*10图40 41.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42 43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2图43 44.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)图44 45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2图45 46.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2图46 47.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48 49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16图49 50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10图50 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)图51 52 簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*10图52 53.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)图53 54.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*20图54 55. 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57 58.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58 59.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59 60 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60 61.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62 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*6图63 64.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64 65.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)图65 66. ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60phi=t*7200图66 67. 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67 68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5图68 69. 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。

(整理)proe曲线方程整理.

proe常用方程式（1-10）1.碟形弹簧圆柱坐标 r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t 2.叶形线笛卡儿坐标标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） r=t theta=10+t*(20*360)z=t*34.蝴蝶曲线球坐标 rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85.渐开线笛卡尔坐标系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 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 z=0x = 10*ty = log(10*t+0.0001)8.球面螺旋线球坐标系rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标 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 a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^311.心脏线圆柱坐标a=10r=a*(1+cos(theta))theta=t*36012.圆内螺旋线柱座标系 theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)13.正弦曲线笛卡尔坐标系 x=50*ty=10*sin(t*360)z=014.太阳线柱坐标r=1.5*cos(50*theta)+1theta=t*360z=0 15.费马曲线（有点像螺纹线）数学方程：r＊r = a*a*theta圆柱坐标方程1: theta=360*t*5a=4r=a*sqrt(theta*180/pi) 方程2: theta=360*t*5 a=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) 19. 抛物线笛卡儿坐标x =(4 * t)y =(3 * t) + (5 * t ^2)z =020.螺旋线圆柱坐标r = 5theta = t*1800z =(cos(theta-90))+24*t21.三叶线圆柱坐标a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)迪卡尔坐标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！笛卡儿坐标x = t*10-5y = exp(0-x^2)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 -4.25 y = 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)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*4 r=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.蘑菇曲线球坐标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.碟形弹簧圆柱坐 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)63.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*664.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*865.柱面正弦波线柱坐标r=30theta=t*360z=5*sin(5*theta-90)66.漩涡线球坐标：rho=t*20^2theta=t*log(30)*60phi=t*720067. 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=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：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。

proe各种曲线方程集合

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*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=10theta=t*36013.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=4由于Pro/e只能做连续的曲线，所以只能分两次做。

Proe曲线方程大全共106个

Proe曲线方程大全1.碟形弹簧圓柱坐标r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t 2.葉形线笛卡儿坐標标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）r=ttheta=10+t*(20*360)z=t*34.蝴蝶曲线球坐标rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85.渐开线笛卡尔坐标系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z=0x = 10*ty = log(10*t+0.0001)8.球面螺旋线球坐标系rho=4theta=t*180phi=t*360*209.双弧外摆线卡迪尔坐标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a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^311.心脏线圓柱坐标a=10r=a*(1+cos(theta))小蜜蜂曲线方程式：X=cos(t*360)+cos(3*t*360)Y=sin(t*360)+sin(5*t*360)(选取的坐标系是笛卡尔) theta=t*36012.圆内螺旋线柱座标系theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta)13.正弦曲线笛卡尔坐标系x=50*ty=10*sin(t*360)z=014.太阳线柱坐标r=1.5*cos(50*theta)+1theta=t*360z=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. 正弦波笛卡尔坐标系：x=5*t*ty=sin(t*8*360)*0.518.Rhodonea 曲线笛卡尔坐标系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) 19. 抛物线笛卡儿坐标x =(4 * t)y =(3 * t) + (5 * t ^2)z =020.螺旋线圓柱坐标r = 5theta = t*1800z =(cos(theta-90))+24*t21.三叶线圆柱坐标a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)22.外摆线迪卡尔坐标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！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)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.蘑菇曲线球坐标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.碟形弹簧圓柱坐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)63.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*664.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*865.柱面正弦波线柱坐标r=30theta=t*360z=5*sin(5*theta-90)66.漩涡线球坐标：rho=t*20^2theta=t*log(30)*60phi=t*720067. 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=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：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。

ProE各种曲线方程集锦(图文对照)

1.碟形弹簧圓柱坐标方程：r = 5theta = t*3600z =(sin(3.5*theta-90))+24*t此主题相关图片如下：1.jpg2.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))此主题相关图片如下：2.jpg3.螺旋线(Helical curve) 圆柱坐标（cylindrical）方程：r=ttheta=10+t*(20*360)z=t*3此主题相关图片如下：3.jpg4.蝴蝶曲线球坐标方程：rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 8此主题相关图片如下：4.jpg5.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此主题相关图片如下：5.jpg6.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此主题相关图片如下：6.jpg笛卡尔坐标系方程：z=0x = 10*ty = log(10*t+0.0001)此主题相关图片如下：7.jpg8.球面螺旋线采用球坐标系方程：rho=4theta=t*180phi=t*360*20此主题相关图片如下：8.jpg9.双弧外摆线方程：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)此主题相关图片如下：9.jpg10.星行线卡迪尔坐标方程：a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^3此主题相关图片如下：10.jpg11.心脏线圓柱坐标方程：a=10r=a*(1+cos(theta))theta=t*360此主题相关图片如下：11.jpg12.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)此主题相关图片如下：12.jpg13.正弦曲线笛卡尔坐标系方程：x=50*ty=10*sin(t*360)z=0此主题相关图片如下：13.jpg14.太阳线（这本来是做别的曲线的，结果做错了，就变成这样了）此主题相关图片如下：14.jpg15.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，所以只能分两次做此主题相关图片如下：15.jpg16.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此主题相关图片如下：16.jpg17.4叶线（一个方程做的，没有复制）此主题相关图片如下：17.jpg18.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)此主题相关图片如下：18.jpg19. 抛物线笛卡儿坐标方程：x =(4 * t)y =(3 * t) + (5 * t ^2)z =0此主题相关图片如下：19.jpg20.螺旋线圓柱坐标方程：r = 5theta = t*1800z =(cos(theta-90))+24*t此主题相关图片如下：20.jpg我要自学网，打造专业软件视频教程21.三叶线圆柱坐标方程：a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1)此主题相关图片如下：21.jpg22.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此主题相关图片如下：22.jpg23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)此主题相关图片如下：23.jpg24.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)此主题相关图片如下：24.jpg25.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)此主题相关图片如下：25.jpg26. 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))此主题相关图片如下：26.jpg27.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x^2)此主题相关图片如下：27.jpg28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)此主题相关图片如下：28.jpg29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta此主题相关图片如下：29.jpg30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)此主题相关图片如下：30.jpg31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x此主题相关图片如下：31.jpg32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)此主题相关图片如下：32.jpg33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2此主题相关图片如下：33.jpg34.双曲正弦x = 6*t-3y = (exp(x)-exp(0-x))/2此主题相关图片如下：34.jpg35.双曲正切x = 6*t-3y = (exp(x)-exp(0-x))/(exp(x)+exp(0-x))此主题相关图片如下：35.jpg36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1此主题相关图片如下：36.jpg37.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0此主题相关图片如下：37.jpg38.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t此主题相关图片如下：38.jpg39.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0此主题相关图片如下：39.jpg40.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10此主题相关图片如下：40.jpg41.柱坐标螺旋曲线x = 100*t * cos ( t *(5*180)) y = 100*t * sin ( t *(5*180)) z = 0此主题相关图片如下：41.jpg42.蛇形曲线x = 2 * cos ( (t+1) *(2*180))y = 2 * sin ( t *(5*360))z = t*(t+1)此主题相关图片如下：42.jpg43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2此主题相关图片如下：43.jpg44.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)此主题相关图片如下：44.jpg45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2此主题相关图片如下：45.jpg46.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2此主题相关图片如下：46.jpg47.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此主题相关图片如下：47.gif48.螺旋上升的椭圆线a = 10b = 20theta = t*360*3x = a*cos(theta)y = b*sin(theta)z=t*12此主题相关图片如下：48.jpg49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16此主题相关图片如下：49.jpg50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+t theta=t*360*10z=t*10此主题相关图片如下：50.jpg51 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)此主题相关图片如下：51.jpg<script src="/icax_gg.php?pos=Ncontent" type="text/javascript"></script> Pro/E 各种曲线方程集合∙发布者：孤峰醉酒来源：ivproe 发布日期：点击：<script src="/publish/counter.php?o=display_counter&Id=230"></script> 113595∙<script type="text/javascript"></script>字体大小:∙小∙中∙大<script language="javascript" src="/icax_gg.php?pos=home250"></script>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)图5152 簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*10此主题相关图片如下：52.jpg53.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)此主题相关图片如下：53.jpg54.蘑菇曲线rho=t^3+t*(t+1) theta=t*360phi=t^2*360*20*20此主题相关图片如下：54.jpg55. 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)此主题相关图片如下：55.jpg56.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)此主题相关图片如下：56.jpg57.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10此主题相关图片如下：57.jpg58.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此主题相关图片如下：58.jpg59.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)此主题相关图片如下：59.jpg60 蝶线球坐标：rho=4*sin(t*360)+6*cos(t*360^2) theta=t*360phi=log(1+t*360)*t*360此主题相关图片如下：60.jpg61.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)此主题相关图片如下：61.jpg62.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)此主题相关图片如下：62.jpg63.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此主题相关图片如下：63.jpg64.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此主题相关图片如下：64.jpg65.柱面正弦波线柱坐标：方程r=30theta=t*360z=5*sin(5*theta-90)此主题相关图片如下：65.jpg66. ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60phi=t*7200此主题相关图片如下：66.jpg67. 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此主题相关图片如下：67.jpg68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5此主题相关图片如下：68.gif69. 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。

creo曲线方程大全

73、弯月
笛卡尔坐标方程：x=cos(t*360)+cos(2*t*360) y=2*sin(t*360)+2*sin(t*360)
25、双曲正切笛卡尔坐标方程：x=6*t-3 y=(exp(x)-exp(0-X))/(exp(x)+exp(0-x))
26、一峰三驻点曲线笛卡尔坐标方程：x=3*t-1.5 y=(x^2-1)^3+1
27、八字曲线笛卡尔坐标方程：x=2*cos(t*(2*180)) y=2*sin(t*(5*360)) z=0
15、长短幅圆外旋轮线笛卡尔坐标方程：theta=t*360*10 a=5 b=3 c=5 x=(a+b)*cos(theta)-c*cos((a/b+1)*theta) y=(a+b)*sin(theta)-c*sin((a/b+1)*theta)
16、三尖瓣线笛卡尔坐标方程：a=10 x=a*(2*cos(t*360)+cos(2*t*360)) y=a*(2*sin(t*360)-sin(2*t*360))
52、环形螺旋线柱坐标方程：theta=t*360 r=30+10*sin(theta*20) z=10*cos(theta*20)
53、内接弹簧笛卡尔坐标方程：x=2*cos(t*360*10)+cos(t*180*10) y=2*sin(t*360*10)+sin(t*180*10) z=t*6
42、簪形线球坐标方程：rho=200*t theta=900*t phi=t*90*10
43、螺旋上升曲线（唢呐线）柱坐标
方程：r=t^10 theta=t^3*360*6*3+t^3*360*3*3 z=t^3*(t+1)

ProE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*2.2a = 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35 36.一峰三驻点曲线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39</P< p>Pro/E 各种曲线方程集合（二）日期：2007-1-2 13:48:41 人气：1146 [大中小]上一页[1][2]下一页40.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 = 0图41。

[整理]ProE50曲面方程集2.

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22 23. Lissajous 曲线theta=t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta)图23 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)图24 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)图25 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))图26 27.概率曲线！方程：笛卡儿坐标x = t*10-5y = exp(0-x^2)图27 28.箕舌线笛卡儿坐标系a = 1x = -5 + t*10y = 8*a^3/(x^2+4*a^2)图28 29.阿基米德螺线柱坐标a=100theta = t*400r = a*theta图29 30.对数螺线柱坐标theta = t*360*2.2a = 0.005r = exp(a*theta)图30 31.蔓叶线笛卡儿坐标系a=10y=t*100-50solvex^3 = y^2*(2*a-x)for x图31 32.tan曲线笛卡儿坐标系x = t*8.5 -4.25y = tan(x*20)图32 33.双曲余弦x = 6*t-3y = (exp(x)+exp(0-x))/2图33 34.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35 36.一峰三驻点曲线x = 3*t-1.5y=(x^2-1)^3+1图36 37.八字曲线x = 2 * cos ( t *(2*180))y = 2 * sin ( t *(5*360))z = 0图37 38.螺旋曲线r=t*(10*180)+1theta=10+t*(20*180)z=t图38 39.圆x = cos ( t *(5*180))y = sin ( t *(5*180))z = 0图39 40.封闭球形环绕曲线rho=2theta=360*tphi=t*360*10图40 41.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42 43.8字形曲线柱坐标theta = t*360r=10+(8*sin(theta))^2图43 44.椭圆曲线笛卡尔坐标系a = 10b = 20theta = t*360x = a*cos(theta)y = b*sin(theta)图44 45.梅花曲线柱坐标theta = t*360r=10+(3*sin(theta*2.5))^2图45 46.另一个花曲线theta = t*360r=10-(3*sin(theta*3))^2z=4*sin(theta*3)^2图46 47.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48 49.甚至这种螺旋花曲线theta = t*360*4r=10+(3*sin(theta*2.5))^2z = t*16图49 50 鼓形线笛卡尔方程r=5+3.3*sin(t*180)+ttheta=t*360*10z=t*10图50 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)图51 52 簪形线球坐标方程：rho=200*ttheta=900*tphi=t*90*10图52 53.螺旋上升曲线r=t^10theta=t^3*360*6*3+t^3*360*3*3z=t^3*(t+1)图53 54.蘑菇曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*20*20图54 55. 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5556.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)图56 57.桃形曲线rho=t^3+t*(t+1)theta=t*360phi=t^2*360*10*10图57 58.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58 59.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59 60 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60 61.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62 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*6图63 64.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64 65.柱面正弦波线柱坐标：方程r=30z=5*sin(5*theta-90)图65 66. ufo （漩涡线）球坐标：rho=t*20^2theta=t*log(30)*60phi=t*7200图66 67. 手把曲线thta0=t*360r0=400r1=40r=r0+r1*cos(thta1)x=r*cos(thta0)y=r1*sin(thta1)z=0图67 68.篮子圆柱坐标r=5+0.3*sin(t*180)+ttheta=t*360*30z=t*5图68 69. 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。