Spencer Heath Archive

Item 680

No date

 

 

     Our thinking about lines, figures, volume, dimension, direction was never planned; it has been inherited. In the light of modern science — the kind of knowledge that is never accepted until demonstrated — Reality, Energy, is experienced always in three distinguishable yet inseparable manifestations. These three manifestations — Mass, Motion, Duration — are invariably yet variously organized in least units of Energy called in physics quanta, in mathe­matics, points.

     The Cosmos, or total organization of Cosmic Energy, is the infinite or at least indefinite integration of quanta. Since a quantum is the least organization of Energy that can be either experienced or known, it is, for all practical purposes, infinitely /?/ small.

     Since Energy, Reality, is universal, no thing, no place, is void of quanta, and all quanta are in juxtaposition, all points contiguous in all directions.

     A series of quanta in juxtaposition is a finite quantity of energy.

    A series of quanta in which mass predominates is a structure; in which motion is maximum, a ray; in which duration is maximum, a life-form.

All is Energy   All space _____________   Quanta – points

 

1. A line is an indefinite series of points in successive juxtaposition and having no terminal points — no dimension

 

2. A curve is a line any two points in which series, taken as terminals, are connected by any less number of points
3. A closed curve is a series of points in successive juxtaposition having for both its terminals one point or any of its points
4. A straight line is a line any two points in which series, taken as terminals, are connected by no less number of points. It has direction but no dimension
5. The series of points in a line between terminal points is a finite line or finite curve. Finite lines or finite curves connected at their termini are called broken lines or curves
6. A surface is a series of lines in successive juxtaposition throughout and having no terminal lines
7. A curved surface is an indefinite series of lines any two points in which lines or series are connected by any less number of points
8. A plane is a surface within which the terminal points of all lines are connected by straight lines
9. A figure is a part surface having terminal or boundary lines

10. A plane figure is a figure lying wholly within a plane
11. A volume (solid) is a series of surfaces in successive juxtaposition throughout

 

     Direction is continuity without change, hence static, duration without time.

 

     The same straight line has only two directions (towards two termini)

 

     The same curve has many directions

     A straight line has only one ? direction                 

     From any point in it, not a terminal point a straight line has two opposite directions

 

     A finite line has but one dimension and two directions

 

     When two finite lines have a common terminal point the