[Reference] various curve equation sets of Pro/E

1. disc spring

Column Coordinate

Equation: r = 5

Theta = T * 3600.

Z = (sin (3.5 * theta-90) + 24 * t

2. Linear line.

Playing the card

Equation: A = 10

X = 3 * a * t/(1 + (t ^ 3 ))

Y = 3 * a * (t ^ 2)/(1 + (t ^ 3 ))

3. helical curve)

Cylindrical)

Equation: r = T

Theta = 10 + T * (20*360)

Z = T * 3

4. Butterfly Curve

Spherical Coordinates

Equation: FIG = 8 * t

Theta = 360 * T * 4

Phi =-360 * T * 8

5. Involute

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 = 0

6. spiral.

Flute coordinates

Equation: x = 4 x cos (T * (5*360 ))

Y = 4 * sin (T * (5x360 ))

Z = 10 * t

7. logarithm curve

Cartesian coordinate system

Equation: z = 0

X = 10 * t

Y = Log (10 * t + 0.0001)

8. Spherical spiral

Using the Spherical Coordinate System

Equation: FIG = 4

Theta = T * 180.

Phi = T * 360*20

9. Dual-arc alignaxis

Qadir coordinates

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 Line

Qadir coordinates

Equation: A = 5

X = A * (COS (T * 360) ^ 3

Y = a * (sin (T * 360) ^ 3

Report post

11. heartline

Column Coordinate

Equation: A = 10

R = A * (1 + cos (theta ))

Theta = T * 360.

12. incircle spiral

Use the column Coordinate System

Equation: Theta = T * 360

R = 10 + 10 * sin (6 * theta)

Z = 2 * sin (6 * theta)

13. Sine Curve

Cartesian coordinate system

Equation: x = 50 * t

Y = 10 * sin (T * 360)

Z = 0

14. Sun Line (this was originally made of other curves. If the result is wrong, it becomes like this)

15. ferma curve (a bit like a thread)

Mathematical equation: R * r = A * a * Theta

Column Coordinate

Equation 1: Theta = 360 * T * 5

A = 4

R = A * SQRT (theta * 180/PI)

Equation 2: Theta = 360 * T * 5

A = 4

R =-A * SQRT (theta * 180/PI)

Since PRO/E can only perform continuous curves, it can only be done twice

16. Talbot Curve

Cardinar coordinates

Equation: Theta = T * 360

A = 1.1

B = 0.666

C = sin (theta)

F = 1

X = (A * A + F * f * C) * Cos (theta)/

Y = (A * A-2 * F + F * f * C) * sin (theta)/B

17.4 leaf lines (one equation is done without replication)

18. Fig Curve

Cartesian coordinate system

Equation: 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)

19. Parabolic

Flute coordinates

Equation: x = (4 * t)

Y = (3 * t) + (5 * t ^ 2)

Z = 0

20. Spiral

Column Coordinate

Equation: r = 5

Theta = T * 1800.

Z = (COS (theta-90) + 24 * t

21. Three-leaf Cable

Cylindrical Coordinates

Equation: a = 1

Theta = T * 380.

B = sin (theta)

R = A * Cos (theta) * (4 * B * b-1)

22. excircle

Dikar coordinates

Equation: Theta = T * 720*5

B = 8

A = 5

X = (a + B) * Cos (theta)-B * Cos (A/B + 1) * theta)

Y = (a + B) * sin (theta)-B * sin (A/B + 1) * theta)

Z = 0

23. Lissajous Curve

Theta = T * 360.

A = 1

B = 1

C = 100.

N = 3

X = A * sin (N * Theta + C)

Y = B * sin (theta)

24. incircle rotation line

Cardinar coordinates

Equation: A = 5

B = 7

C = 2.2.

Theta = 360 * T * 10

X = (a-B) * Cos (theta) + C * Cos (A/b-1) * theta)

Y = (a-B) * sin (theta)-C * sin (A/b-1) * theta)

25. Long and Short Round outer spin wheel line

Cardinar coordinates

Equation: 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)

26. tricuspid valve

A = 10

X = A * (2 * Cos (T * 360) + cos (2 * T * 360 ))

Y = a * (2 * sin (T * 360)-sin (2 * T * 360 ))

27. Probability Curve!

Equation:

Flute coordinates

X = T * 10-5

Y = exp (0-x ^ 2)

28. Tongue

Flute Coordinate System

A = 1

X =-5 + T * 10

Y = 8 * a ^ 3/(x ^ 2 + 4 * a ^ 2)

29. Archimedes Spiral

Column Coordinate

A = 100

Theta = T * 400.

R = A * Theta

30. Log nuts

Column Coordinate

Theta = T * 360*2.2

A = 0.005

R = exp (A * theta)

31. Cranberry line

Flute Coordinate System

A = 10

Y = T * 100-50

Solve

X ^ 3 = y ^ 2*(2 * A-x)

For x

32. Tan Curve

Flute Coordinate System

X = T * 8.5-4.25

Y = tan (x * 20)

33. hyperbolic cosine

X = 6 * T-3

Y = (exp (x) + exp (0-x)/2

34. hyperbolic sine

X = 6 * T-3

Y = (exp (x)-exp (0-x)/2

35. Hyperbolic tangent

X = 6 * T-3

Y = (exp (x)-exp (0-x)/(exp (x) + exp (0-x ))

36. Three-Point Curve of one peak
X = 3 * t-1.5
Y = (x ^ 2-1) ^ 3 + 1

Figure 36

37. Eight-character Curve
X = 2 * Cos (T * (2x180 ))
Y = 2 * sin (T * (5x360 ))
Z = 0

Figure 37

38. spiral curve
R = T * (10*180) + 1
Theta = 10 + T * (20*180)
Z = T

Figure 38

39. Circle
X = cos (T * (5x180 ))
Y = sin (t x (5*180 ))
Z = 0

Figure 39

40. closed spherical surround Curve
Rock = 2
Theta = 360 * t
Phi = T * 360*10

Figure 40

41. Column coordinate spiral curve
X = 100 * T * Cos (T * (5*180 ))
Y = 100 * T * sin (T * (5*180 ))
Z = 0

Figure 41

42. snake-like Curve
X = 2 * Cos (t + 1) * (2*180 ))
Y = 2 * sin (T * (5x360 ))
Z = T * (t + 1)

Figure 42

43.8 Curve
Column Coordinate
Theta = T * 360.
R = 10 + (8 * sin (theta) ^ 2

Figure 43

44. Elliptic Curve
Cartesian coordinate system
A = 10
B = 20
Theta = T * 360.
X = A * Cos (theta)
Y = B * sin (theta)

Figure 44

45. Plum Blossom Curve
Column Coordinate
Theta = T * 360.
R = 10 + (3 * sin (theta * 2.5) ^ 2

Figure 45

46. Another flower Curve
Theta = T * 360.
R = 10-(3 * sin (theta * 3) ^ 2
Z = 4 * sin (theta * 3) ^ 2

Figure 46

47. Change it to a curve with a stronger sense of space ;)
Theta = T * 360.
R = 10-(3 * sin (theta * 3) ^ 2
Z = (R * sin (theta * 3) ^ 2

Figure 47

48. elliptical line with spiral rise
A = 10
B = 20
Theta = T * 360*3
X = A * Cos (theta)
Y = B * sin (theta)
Z = T * 12

Figure 48

49. Even this spiral curve
Theta = T * 360*4
R = 10 + (3 * sin (theta * 2.5) ^ 2
Z = T * 16

Figure 49

50 drums

Cartesian Equation

R = 5 + 3.3 * sin (T * 180) + T
Theta = T * 360*10
Z = T * 10