各种曲线方程集合.doc

:r=5theta=t*3600z=(sin(*theta-90))+24*:a=10x=3*a*t/(1+(t^3))y=3*a*(t^2)/(1+(t^3))(Helicalcurve)圆柱坐标(cylindrical)方程:r=ttheta=10+t*(20*360)z=t*:rho=8*ttheta=360*t*4phi=-360*t*: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=:x=4*cos(t*(5*360))y=4*sin(t*(5*360))z=10*:z=0x=10*ty=log(10*t+):rho=4theta=t*180phi=t*360*:l===3*b*cos(t*360)+l*cos(3*t*360)Y=3*b*sin(t*360)+l*sin(3*t*360):a=5x=a*(cos(t*360))^3y=a*(sin(t*360))^:a=10r=a*(1+cos(theta))theta=t*:theta=t*360r=10+10*sin(6*theta)z=2*sin(6*theta):x=50*ty=10*sin(t*360)z=(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):theta=t*360a===sin(theta)f=1x=(a*a+f*f*c*c)*cos(theta)/ay=(a*a-2*f+f*f*c*c)*sin(theta)/: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):x=(4*t)y=(3*t)+(5*t^2)z=0 :r=5theta=t*1800z=(cos(theta-90))+24*:a=1theta=t*380b=sin(theta)r=a*cos(theta)*(4*b*b-1):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==t*360a=1b=1c=100n=3x=a*sin(n*theta+c)y=b*sin(theta):a=5b=7c==360*t*10x=(a-b)*cos(theta)+c*cos((a/b-1)*theta)y=(a-b)*sin(theta)-c*sin((a/b-1)*theta):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)=10x=a*(2*cos(t*360)+cos(2*t*360))y=a*(2*sin(t*360)-sin(2*t*360))!方程:笛卡儿坐标x=t*10-5y=exp(0-x^2)=1x=-5+t*10y=8*a^3/(x^2+4*a^2)=100theta=t*400r=a*=t*360*==exp(a*theta)=10y=t*100-50solvex^3=y^2*(2*a-x)=t*-