common equation

proe

          click on the icon building curve, select the building from the equation, and then select the coordinate system to create the curve, and then choose to create a curve coordinate system, then the two dialogs - one dos dialogue box, can not operate, one is Notepad dialog box. In the Notepad dialog box, there are already some comments that should enter the equation of the form of the format and coordinate system, then the following equation to comment below, save the Notepad file, to generate equation curve.                 curve in the following equation, x = a * t, y = b * t, z = c * t, for the Cartesian equation. r = a * t, theta = b * t, z = c * t, is a cylindrical coordinate system equation. rho = a * t, theta = b * t, phi = c * t, for the spherical coordinates equation. 0. Sine curve of x = 50 * ty = 10 * sin (t * 360) z = 01. Disc spring r = 5theta = t * 3600z = (sin (3.5 * theta-90)) 24 * t2. Leaf line . a = 10x = 3 * a * t / (1 (t ^ 3)) y = 3 * a * (t ^ 2) / (1 (t ^ 3)) 3. swing Helix (Helical curve) r = ttheta = 10 t * (20 * 360) z = t * 34. butterfly curve rho = 8 * ttheta = 360 * t * 4phi = -360 * t * 85. involute 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. standard helix.     ;     equation: x = 4 * cos (t * (5 * 360))                         y = 4 * sin (t * (5 * 360))                         z = 10 * t7. logarithmic curve             equation: z = 0                            x = 10 * t                            y = log (10 * t 0.0001) 8. spherical helix             equation: rho = 4                        theta = t * 180                        phi = t * 360 * 209. epicycloid double arc equation: l = 2.5                        b = 2.5      ;                   x = 3 * b * cos (t * 360) l * cos (3 * t * 360)           ;               Y = 3 * b * sin (t * 360) l * sin (3 * t * 360) 10. star bound                 equation: a = 5                            x = a * (cos (t * 360 )) ^ 3                            y = a * (sin (t * 360)) ^ 311. cardioid                     equation: a = 10                            &{ responseData : null, responseDetails : the string to be translated exceeds the maximum length allowed. , responseStatus : 400}heta)-b * cos ((a / b 1) * theta)                             y = (ab) * sin (theta)-b * sin ((a / b 1) * theta)                             z = 023. Lissajous curve theta = t * 360a = 1b = 1c = 100n = 3x = a * sin (n * theta c) y = b * sin (theta) 24. length of the piece circle Cycloid                     equation: a = 5                            b = 7                            c = 2.2                        ;     theta = 360 * t * 10                            x = (ab) * cos (theta) c * cos ((a/b-1) * theta)                             y = (ab) * sin (theta )-c * sin ((a/b-1) * theta) 25. length of the piece outside the circle Cycloid                 equation: theta = t * 360 * 10  ;                           a = 5                      ;       b = 3                            c = 5            ;                 x = (ab) * cos (theta)-c * cos ((a / b 1) * theta)           ;                   y = (ab) * sin (theta)-c * sin ((a / b 1) * theta) 26. tricuspid line a = 10x = a * (2 * cos (t * 360) cos (2 * t * 360)) y = a * (2 * sin (t * 360)-sin (2 * t * 360)) 27. probability curve ! Equation: Cartesian coordinates x =         t * 10-5y = exp (0-x ^ 2) 28. Kei Tongue a = 1x = -5 t * 10y = 8 * a ^ 3 / (x ^ 2 4 * a ^ 2) 29. Archimedean spiral a = 100theta = t * 400r = a * theta30. logarithmic spiral theta = t * 360 * 2.2a = 0.005r = exp (a * theta) 31. Man leaves line a = 10y = t * 100-50solve                    x ^ 3 = y ^ 2 * (2 * ax) for x32.tan curve Cartesian coordinates x = t * 8.5-4.25y = tan (x * 20) 33. cosh x = 6 * t-3y = (exp (x) exp (0-x)) / 234. hyperbolic sine of x = 6 * t-3y = (exp (x)-exp (0-x)) / 235. hyperbolic tangent x = 6 * t-3y = (exp (x)-exp (0 - x)) / (exp (x) exp (0-x)) 36. a peak of three stationary curve x = 3 * t-1.5y = (x ^ 2-1) ^ 3 137. character curve       ;   x = 2 * cos (t * (2 * 180))             y = 2 * sin (t * (5 * 360))         ;     z = 038. spiral curve         r = t * (10 * 180) 1            theta = 10 t * (20 * 180)             z = t40. closed ball around the curve         rho = 2            theta = 360 * t            phi = t * 360 * 1041. cylindrical coordinates spiral curve         x = 100 * t * cos (t * (5 * 180))             y = 100 * t * sin (t * (5 * 180))             z = 042. snake curve         x = 2 * cos ((t 1) * (2 * 180))             y = 2 * sin (t * (5 * 360))             z = t * (t 1) 43.8-shaped curve of theta = t * 360r = 10 (8 * sin (theta)) ^ 244. elliptic curve Cartesian coordinate system a = 10b = 20theta = t * 360x = a * cos (theta) y = b * sin (theta) proe curve equation ?????Tag: proe            curve equation                           Ccubqnbsp;                                                 ;         45. plum curve cylindrical coordinates theta = t * 360r = 10 (3 * sin (theta * 2.5)) ^ 246. Another flower curve theta = t * 360r = 10 - (3 * sin (theta * 3)) ^ 2z = 4 * sin (theta * 3) ^ 247. changes about to take a stronger sense of space curves of the theta = t * 360r = 10 - (3 * sin (theta * 3) ) ^ 2z = (r * sin (theta * 3)) ^ 248. spiral ellipse a = 10b = 20theta = t * 360 * 3x = a * cos (theta) y = b * sin (theta) z = t * 1249. gimped even this curve theta = t * 360 * 4r = 10 (3 * sin (theta * 2.5)) ^ 2z = t * 1650 drum line                     r = 5 3.3 * sin (t * 180) ttheta = t * 360 * 10z = t * 10    51 longevity lock curve of 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 hairpin-shaped line equation: rho = 200 * ttheta = 900 * tphi = t * 90 * 1053. spiral curve             r = t ^ 10            theta = t ^ 3 * 360 * 6 * 3 t ^ 3 * 360 * 3 * 3            z = t ^ 3 * (t 1) 54. Mushrooms curve             rho = t ^ 3 t * (t 1)             theta = t * 360            phi = t ^ 2 * 360 * 20 * 2055. 8 characters curve             a = 1            b = 1      ;       x = 3 * b * cos (t * 360) a * cos (3 * t * 360)             Y = b * sin (t * 360 ) a * sin (3 * t * 360) 56. plum curve             theta = t * 360            r = 100 50 * cos ( 5 * theta)             z = 2 * cos (5 * theta) 57. Peach curve             rho = t ^ 3 t * (t 1)             theta = t * 360            phi = t ^ 2 * 360 * 10 * 1058. Name: establishment of disc springs Environment: pro / e cylindrical sit r = 5theta = t * 3600z = (sin (3.5 * theta-90)) 24 loop quadratic Cartesian equation: x = 50 * cos (t * 360) y = 50 * sin (t * 360) z = 10 * cos (t * 360 * 8) 60 Tip Line spherical coordinates: rho = 4 * sin (t * 360) 6 * cos (t * 360 ^ 2) theta = t * 360phi = log (1 t * 360) * t * 36061. sine Week Spring Descartes: ang1 = t * 360ang2 = t * 360 * 20x = ang1 * 2 * pi/360y = sin (ang1) * 5 cos (ang2) z = sin (ang2) 62. circular helix x = spherical coordinates: rho = t * 20 ^ 2theta = t * log (30) * 60phi = t * 720067. hand curve Descartes: thta0 = t * 360thta1 = t * 360 * 6r0 = 400r1 = 40r = r0 r1 * cos (thta1) x = r * cos (thta0) y = r1 * sin (thta1) z = 068. basket of r = 5 0.3 * sin (t * 180) ttheta = t * 360 * 30z = t * 569. spur gear involute tooth profile equation: Cartesian coordinates afa = 60 * tx = 10 * cos (afa) pi * 10 * afa/180 * sin (afa) x = 10 * sin ( afa)-pi * 10 * afa/180 * cos (afa) z = 0 Note: afa for the pressure angle, the range is 0 to 60,10 for the base radius 70. logarithmic spiral curve of r = sqrt (theta) theta = t * 360 * 30z = 072. sunflower lines Descartes: theta = t * 360r = 30 10 * sin (theta * 30) z = 073. Sun Line Descartes: r = 1.5 * cos (50 * theta) 1theta = t * 360z = 074 tower helix Descartes: r = t * 80 50theta = t * 360 * 10z = t * 8075 petals line spherical coordinates: rho = t * 20theta = t * 360 * 90phi = t * 360 * 1076Ingot line r = sin (t * 360 * 10) 30theta = sin (t * 360 * 15) z = sin (t * 3) 77 of the Archimedes spiral deformation theta = 360 * 2 * (t- 0.5) r = 10 * thetaz = 078 to change over the involute equation                             r = 20                            ang = t * 360                            x = r * cos (ang) 2 * pi * r * t * sin (ang)                             y = r * sin (ang) -2 * pi * r * t * cos (ang)                           ;   z = 0 with the Cartesian coordinate system         equation: 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 = 079 Pisces curve ball coordinates rho = 30 10 * sin (t * 360 * 10) theta = t * 180 * cos (t * 360 * 10) phi = t * 360 * 3080 Bow Curve Cartesian coordinates x = 200 * t * sin (t * 3600) y = 250 * t * cos (t * 3600) z = 300 * t * sin (t * 1800) 81 "two-sea" curve rho = 30theta = t * 360 * cos (t * 360 * 20) phi = t * 360 * 2082 Bee Cartesian coordinate system: x = cos (t * 360) cos (3 * t * 360) Y = sin (t * 360) sin (5 * t * 360) 83 meniscus x = cos (t * 360) cos (2 * t * 360) Y = sin (t * 360) * 2 sin ( t * 360) * 284 tropical fish, a = 5x = (a * (cos (t * 360 * 3)) ^ 4) * ty = (a * (sin (t * 360 * 3)) ^ 4) * t85 dovetail cut x = 3 * cos (t * 360 * 4) y = 3 * sin (t * 360 * 3) z = t86 Tiancan Si theta = t * 3600r = (cos (360 * t * 20) *. 5 * t 1 ) * t87 ECG 87. cylindrical coordinates: r = sin (t * 360 * 2) .2 theta = 10 t * (6 * 360) z = t * 388. changes in the star line after the Cartesian coordinate system, theta = t * 360x = 10 * cos (theta) ^ 3y = 10 * sin (theta) ^ 3z = cos (theta) 89.theta = t * 360-90r = cos (360 * (t / (1 t ^ (6.5)) ) * 6 * t) * 3.5 590.theta = t * 360 180r = cos (360 * t ^ 3 * 6) * 2 5 serpentine line Cartesian coordinate system: x = 2 * cos (t * 360 * 3) * ty = 2 * sin (t * 360 * 3) * tz = (sqrt (sqrt (sqrt (t ))))^ 3 * 5theta = t * 360 * 4r = cos (t * 360 * 5) 1 spider web theta = t * 360 * 5r = t * sin (t * 360 * 25) * 5 8 infrasound Descartes: x = t * 5y = t * cos (t * 360 * 8) Cross involute theta = t * 360 * 4r = (cos (t * 360 * 16) * 0.5 * t 1) * t within the Fifth Ring theta = t * 360 * 4x = 2 (10-5) * cos (theta) 6 * cos ((10 / 6 -1) * theta) y = 2 (10-5) * sin (theta) -6 * sin ((10/6-1) * theta) cochlear trajectory in cylindrical coordinates; theta = t * 360 * 2r = cos ( t * 360 * 30) * t * 0.5 t * 2