The Theosophical Path Illustrated Monthly Volume 1, July-December, 1911
Religion
The Theosophical Path Illustrated Monthly Volume 1, July-December, 1911
Theosophy -- Periodicals
Katherine Tingley said recently in one of her intimate talks on the
subject of the individual responsibility of students in being given the
opportunity to bring a deeper than the common touch into the production
of _The Aroma of Athens_:
We are just now at a strange point in the cycle and in many ways are
linking ourselves with the past.
May not one evidence of this be an easier recognition of the Theosophic
Light that has been passed from hand to hand down the ages? Many have
been its disguises, many and strange the lamps holding it, often
obscured it has been, again nameless--but ever the one Light, the one
Flame, shining upon and enlightening all men.
THE PYTHAGOREAN SOLIDS:
by F. J. Dick, M. INST. C. E., M. INST. C. E. I.
Students of _The Secret Doctrine_ and of ancient teachings such as
those of Pythagoras, the Kabala, and the sacred books of different
races and epochs, are often puzzled by the frequent references to
Number, and to elementary plane forms like the circle, triangle, and
square. It may be surmised that these symbols refer to _meta_-physical
forces of various orders concealed within the "atom" and within nature
generally. For nature is built, obviously enough, upon some internal
principles of structural harmony. Without discussing the many avenues
of thought suggested by a study of the five regular solids, the main
features of these forms may be briefly summarized.
In the first place, they may be all considered as generated by Twelve
Points on the surface of the Sphere, at equal adjacent distances, or by
six diameters of the sphere mutually inclined at angles whose tangent
is 2, the number of the octave in music. Joining each of the twelve
with every other point, we have 66 lines, of which 36 are internal.
Six of the latter being diameters, there remain 30, intersecting at 20
points, which give the 30 edges of the internal DODECAHEDRON. The 30
outer, or external lines of the 66, form the edges of the ICOSAHEDRON.
Joining one set of alternate corners of the Dodecahedron by 12 lines,
a CUBE appears. So far, there are 33 points defined, including the
center of the sphere. Joining opposite corners on each Cube-face by 12
lines, _two_ interlaced TETRAHEDRONS appear. These define, by their
intersection, 6 new points and 12 new lines forming the OCTAHEDRON,
beautifully poised in the heart of the Sphere.
Thus only 39 points, including the central point, are needed to define
the Pythagorean solids, only one solid form being repeated, the
Tetrahedron, which in fact is seen to repeat itself ten times. For
between the interlaced Tetrahedron corners and the eight faces of the
included Octahedron, eight smaller Tetrahedrons are seen.
Public-domain text, read in full here on John Shaqi.
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