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1、.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*t2.葉形线笛卡儿坐標标a=10x=3*a*t/(1+(t3)y=3*a*(t2)/(1+(t3)3.螺旋线(Helicalcurve)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(an
2、g)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
3、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：rr=a*a*theta圓柱坐标方程1:theta=360*t*5a=4r=a*sqrt(theta*180/pi)方程2:t
4、heta=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
5、)*sin(theta)-6*sin(10/6-1)*theta)19.抛物线笛卡儿坐标x=(4*t)y=(3*t)+(5*t2)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the
6、ta=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
7、*(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-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=t*100-50solvex3=y2*(2*a-x)forx32.tan曲线笛卡儿坐标系x=t*8.5-4.25y=tan(x*20)33.
8、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
9、*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)
10、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*
11、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=t10theta=t3*360*6*3+t3*360*3*3z=t3*(t+1)54.蘑菇曲线球坐标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*3
12、60)56.梅花曲线theta=t*360r=100+50*cos(5*theta)z=2*cos(5*theta)57.桃形曲线rho=t3+t*(t+1)theta=t*360phi=t2*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*3602)theta=t*360phi=log(1+t*360)*t*36061.正弦周弹簧笛卡尔：an
13、g1=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*202theta=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=
