Twenty-Foot Earth Globe and 200-Foot Celestial Sphere

RBF Definitions

"perpendicular to the midchord and solving for the right triangle

thus formed, whose halved-chord outer edge is the side opposite

its central angle which is half the central angle originally

given, and we know that the sine of an angle is the side opposite.

When radius is assumed to be one then the well-known

sine of 1/2 the original angle given is the length of that half

chord. With the chord length calculatable for a given central

angle it is easy to calculate the length of any line running

between the outer end of one of the radii to a position on the

other radius at a known distance outward from the spherical

center. With this knowledge we can design struts of suitable

structural material, say aluminum tubes, and we may triangularly

interconnect all the vertex points of the triangular grid of

the 200-foot sphere, then we can triangularly interstrut all

the grid points on the inside of the whale, then we can interstrut

all the grid vertexes of the crocodile, and finally intertri-

angularly strut the 20-foot Earth globe.

"Now again, viewing outwardly in all directions from the common

volumetric centers of those concentric forms, we will see nothing

changed because all the struts will be in register with all the"

Citations

C19312