1、UG常用曲線方程式大全²表示有N種方法；¯表示用UG3.0可以實現。¯雙外擺線b=2.5l=2.5t=1xt=3*b*cos(t*360)+l*cos(3*t*360)yt=3*b*sin(t*360)+l*sin(3*t*360)¯星形線a=5t=1xt=a*(cos(360*t)3yt=a*(sin(360*t)3葉形線a=10t=1xt=3*a*t/(1+(t3)yt=3*a*(t2)/(1+(t3)¯螺紋線t=1xt=4*cos(t*(5*360)yt=4*sin(t*(5*360)zt=6*t蛇形線²t=1xt=2*cos(

2、t*360*3)*tyt=2*sin(t*360*3)*tzt=(sqrt(sqrt(sqrt(t)3*5²t=1theta=t*360*3zt=sqrt(t)*7²t=1rho=360*sqrt(t)*2theta=t*25phi=360*t*4¯雙余弦線t=1xt=-(9.5*6.5)+t*(9.5*6.5*2)yt=cos(t*360*6.5)*(6.35/2)-(6.35/2)zt=cos(t*360*8)*5¯對數線t=1xt=10*tyt=log(10*t+0.0001)拋物線t=1xt=(4*t)yt=(3*t)+(5*t2)¯勾

3、形線t=1xt=(5*(cos(t*360)3)*tyt=(5*(sin(t*360)3)*t¯次聲波t=1xt=t*5yt=cos(t*360*8)*t正弦波t=1xt=5*t*tyt=sin(t*8*360)*0.5漸開線pitch_diameter=10pressure_angle=20r=(pitch_diameter/2)*cos(pressure_angle)t=1xt=r*cos(90*t*t)+r*(90*t*t)*(pi/180)*sin(90*t*t)yt=r*sin(90*t*t)-r*(90*t*t)*(pi/180)*cos(90*t*t)普通外擺線r=10

4、t=1xt=t*(2*pi*r)-sin(t*360)*ryt=r-cos(t*360)*r¯小飛機t=1xt=cos(t*360)+cos(3*t*360)yt=sin(t*360)+sin(5*t*360)¯彎月t=1xt=cos(t*360)+cos(2*t*360)yt=sin(t*360)*2+sin(t*360)*2¯五角形線t=1xt=2+(10-6)*cos(360*4*t)+10*cos(10/6-1)*(360*4*t)yt=2+(10-6)*sin(360*4*t)-6*sin(10/6-1)*(360*4*t)¯t=1xt=2+(

5、10-6)*cos(360*4*t)+10*cos(10/6-1)*(360*4*t)yt=2+(10-6)*sin(360*4*t)-10*sin(10/6-1)*(360*4*t)¯t=1xt=2+(10-2)*cos(360*4*t)+10*cos(10/6-1)*(360*4*t)yt=2+(10-2)*sin(360*4*t)-10*sin(10/6-1)*(360*4*t)¯t=1xt=0.5+(10-6)*cos(360*5*t)+10*cos(6/10-1)*(360*5*t)yt=0.5+(10-6)*sin(360*5*t)-10*sin(6/10-1)

6、*(360*5*t)熱帶魚a=5t=1xt=(a*(cos(t*360*3)4)*tyt=(a*(sin(t*360*3)4)*t雙蝴蝶線t=1theta=t*360+90r=cos(360*t*5)*3+0.5zt=cos(360*t*3)*3t=1theta=t*360+18r=cos(360*t*5)*0.75+3.5zt=cos(t*360*5)*0.4t=1theta=t*360-54r=cos(360*t*5)*0.5+2.5zt=cos(t*360*5+90)*0.5心電圖t=1r=sin(t*360*2)+0.2theta=10+t*(6*360)zt=t*3¯燕尾剪

7、t=1xt=3*cos(t*360*4)yt=3*sin(t*360*3)zt=tt=1r=t*2theta=10+t*(12*360)zt=t*3碟形線t=1r=10+10*sin(6*t*360)zt=2*sin(6*360*t)花籃t=1r=5zt=(sin(3.5*(t*720)-90)+2小兔兔t=1theta=t*360-90r=cos(360*(t/(1+t(6.5*t)*6*t)*3.5+5紅十字t=1r=cos(360*t*4)*0.5+1theta=t*360+90心形線t=1r=10*(1+cos(t*360)t=1theta=t*360*4r=1+cos(t*360*5

8、)t=1theta=t*360*5r=8+5*sin(t*360*5*5)*t太陽花t=1theta=-t*360+180r=cos(360*t/(1+t8)*7)*3+6t=1theta=t*360r=cos(360*t*20)*0.5*t+1t=1theta=t*360*2r=cos(360*t*30)*0.5*t+2*tt=1theta=t*360*5r=cos(360*t*20)*0.5*t+1手掌t=1theta=t*360+180r=cos(360*t3*6)*2+5t=1theta=t*360*4r=(cos(360*t*16)*0.5*t+1)*t天蠶絲t=1theta=t*3600r=(cos(360*t*20)*0.5*t+1)*t人民幣t=1theta=-t*360+180r=cos(360*(t/(1+t6)*6)*3+5t=1rho=360*t*10theta=360*t*20phi=360*t*5球面螺旋線t=1rh