Legend of the
Lemma Ellipse
Line AB = DK =
hypotenuse = h
Line AD =
BJ = radius = r
Line AJ = diagonal
= D
Line BC = CD = soliton = s
Line BD = wave = w
Line BG = ED = apogee =
o
Line CA = CJ = diagonal radial = d
Line CF = CH
= amplitude
= a
Line CG = EC major
radial = m
Line DG = EB = perigee =
p
Line DH = vector =
v
Line EF = diameter
chord = c
Line EG = major
diameter = M
Line FH = minor
diameter = A
Line HK = lemma = l \
Line oP =
Hypotenuse radius = Hr = Natural integer
Line oV = Vector
radius = Vr = Natural integer
Line oR = Diagonal
diameter = Dd = Natural integer
Line oT = Chord
diameter = Cd = Natural integer
Line oL = Lemma
diameter = Ld = Natural integer
Triangle ABD =
Hypotenuse triangle
=
Brunardot triangle
Triangle CDH =
Vector triangle
= Pythagorean triangle
Triangle BCJ =
Diagonal triangle
= Pythagorean triangle
Triangle CEF =
Chord triangle
= Pythagorean triangle
Triangle DHK =
Lemma triangle
= Pythagorean triangle
Inscribed circle
ABD = Hypotenuse circle
Inscribed circle
CDH = Vector circle
Inscribed circle
CEF = Chord circle
Inscribed circle
DHK = Lemma circle
p, s, v, o = 1st
four terms of a
Brunardot Series
All lines
shown in the above image are integers derived from simple algebraic
relationships for an unending sequence of
Lemma Ellipses that are
generated from two unending sequences of
Natural Integers.
