Curves are curves Lines are Lines Curves are not lines

 

The purpose of the diagram is to understand the curve

often confused with the line

One of the first things to stand out or stick a leg out when this trip started was the statement that 

lines are lines and curves are curves. It took a minute or two to sink in and now it makes perfect

sense to me and apparently to no one in the scientific community and none of the people who

make these contributions to the Wikipedia of commonly accepted ideas. 

The Euclidian plane has no bound and so the next dimension depends on where one points the 

pointer to trace out the form forming up the equation which forms the format for finding new

ways to explain form to the former flat land thinkers that lines are straight in the plane and curves 

curve across planes in consistent ways when examined at the point of departure from the straight

along the parallel in any version of the plane one plainly chooses to look at in order to see

Elliptic geometry is the geometry of curves which is elucidated in the Geometry of Euclid as 

a point identified anywhere on "any plane" a phrase with the same meaning as "the plane"

given that a plane has been identified as the plane that can be cut in an infinite number of 

numbered ways to sum to one sphere from here or there...

In the Geometry of the Plane two parallel lines do not meet

in the Geometry of the Ellipse two parallel curves do not meet

The two geometries define each other a Line is a curve bent straight by some force

                                                             a Curve is a line bent straight by some force

The relationship is defined by the relationship defined by the relationship between

A point in A plane defining a center for the curve and a corner for the line

B a point in A plane defining Gamma the Radius 

Delta the tri-angled polygon defined by the equation Hypotenuse Squared  is equal to

the sum of the squares formed by each of the shorter sides 

C defines the center at any point in the plane 

Epsilon 

The permittivity of free space which every scientist knows is not free  determined by 

Axial tilt demonstrated by elasticity in the ellipse created out of parallel planes rubbing

up against others in an Elliptical fashion producing what to the eye absent the demon of 

knowning life lived along the curve the squiggle or Zeta the next result in the last big

effort to find a center where one can be found.

Eta supplies Hydrogen the first in a short list with just enough rough around the edges to

create a spark able to light the otherwise dark night into the the that keeps on giving Theta

the life well deserved for a job well done