Take a point P(x,y) where lambda is not (l~1).

More than one side(s) (2l) may join in an angle (alpha) which equals 2(r) = d, the number of dimensions at the point P(r, theta). Then r^2 is equivalent with 4 = 2d , and

a b c d

are 3(d) for {ad, ab, ac, bc}.

If {a, b, c, d} || {ad, ab, ac, bc},

then 3(d) consists in three perpendicular numbers ("sines") meeting alpha at V(x,y) from P , whether as the velocity of a vector, ab=C, or the vertex of {abc = D} in the Z = xy plane of 2(d) including P(q, r) at the index (i) of theta.

{a, b, c, d} are coefficient variables

in P (at ad = bc) or

as b^2 = ac exceeds (r = d/2)

where r^2 < r.

Then ad/d = alpha & c = a/b,

but if d = 2(r) then (1/b = 1/c - 1/a)

means ad = bc || a/c = b/d

to/at (&)

a/d = b/c contacting the point R(p,q)

with the number r = PQ.

Thus 4d = 3d + d, the difference between (a + d) - (b + c) in P which implies coefficient means (bc = cb & d = bc/a)

for the rate of scale for some process (ad > 2a)

which extends outside R = (p, q)

at the tangent C = (a, b)

where r = d/2.

Five elements:

{1, 2, 3, 4, 5}

position four equal distances from the left side of 3(d)

(2a/a = 2b/c)

as sines acquire lengths in this distance.

If (r) also generates quadrants from equal sides (l), then parallel fields imply some join where any angle (theta) positions r = PQ across opposite sides into real planes.

Whether equal units extend into a diameter (d = 2r) or the heights of any hemisphere (D = abc),

theta measures both sides of C(a, b)

as positions meaning C_a vary like the base of any hemisphere.

Radian measures begin where two diameters intersect (Z = (x, y)),

since we can imagine points in a circle (C = (a, b)) which separate the length outside some diameter from the number of possible perpendiculars (r = d/2 & C | Z = 2) which qualify as sines C_a | x at any given point on this surface.

Since sines are measured inside alternative circles, being parallel in order to extend, they stand apart from the greatest circle, the one which divides the sphere equally into hemispheres.

Order becomes significant there, in terms of right angles; in some exclusive sense, Z = (x,y) and D = (abc) intersect (3 x 2 = 6) x P fields in (3 + 2 = 5) directions from P = Z | D. The vertices V either complete ad = bc in a whole circle (not a fractional part, unlike the ratio of the circle to the diameter) or correspond across quadrants to the same surface.

These points also project orbits for imaginary numbers at given distances from opposite sides of the required sphere. Any arrangement {a, b, c, d} of these positions requires a different order of magnitude ("greatness") since d < 5 where r = 1 but 5 = d

where d = 2r.

Points R(p, q) correspond in numbers with separate means between

(b = ac) | (ad = bc)

in the direction of (d = a - c).

The points P(r, q) provide real origins for theta.