THE FIBONACCI RATIO
Figure 1-8 Logarithmic ellipse. (Source: The Divine Proportion, by
H.E. Huntley (New York: Dover, 1970) p. 71. Reprinted with permission.)
next square has a side of length 2d (twice as long), the next of 3d, and
so on, forming the series Id, Id, 2d, 3d, 5d, 8d, 13d, . . . which is
exactly the Fibonacci Series 1, 1, 2, 3, 5, 8, 13, . . . .
Two segments of
the spiral may be different in size, but they are not different in shape. The
spiral is without a terminal point; while growing outwards (or inwards)
indefinitely, its shape remains unchanged. The logarithmic spiral is the link
between the Fibonacci Summation Series and the World of Nature.
The Logarithmic
Ellipse
Important curves are found in nature. The most significant to civilization
include the horizon of the ocean, the meteor track, the parabola of a waterfall,
the arcs traced in the sky by the sun and the crescent moon, and the flight of a
bird.
An ellipse is the mathematical term for an oval. Each ellipse can be
precisely designated by only a few characteristics. The extreme form of an
ellipse is the parabola (Figure 1-8), which can be represented mathematically
as:
y2
= Amx
Point P is equidistant from a fixed point F
(the focus) and a fixed line ZM (the directrix). The curve is symmetrical
about the axis. Forex 101.
Forex Art Of Fibonacci (Forex 101)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15. 16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30. 31.
32. 33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
44. 45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63. 64.
65.
66.
67.
68.
69.
70.
71.
72. 73.
74.
75.
76.
77.
78.
79,
80.
81.
82.
83.
84.
85.
86.
87.
88.
89. 90.
91.
92.
93.
94.
95.
96.
97.
98.
99.
Forex Art Of Fibonacci (Forex 102)
100.
101.
102.
103.
104.
105.
106.
107.
108.
109.
110.
111.
112.
113.
114. 115.
116.
117.
118. 119.
120.
121. 122.
123.
124.
125. 126.
127. 128.
129. 130.
131.
132.
133.
134. 135.
136.
137.
138.
139.
140.
141.
142. 143.
144.
145. 146.
147.
148.
149.
150.
151.
152.
153. 154.
155. 156.
157.
158.
159.
160.
161.
162.
163.
164.
165. 166.
167.
168.
169.
170.
