A strange extended Orb of Joy
Proceeding from within,
Which did on ev'ry side display
Its force; and being nigh of Kin
To God, did ev'ry way
Dilate its Self ev'n instantaneously,
Yet an Indivisible Centre stay,
In it surrounding all Eternity.
'Twas not a Sphere;
Yet did appear
One infinite: 'Twas somewhat everywhere.'

Observe the distinct description of how the relation between
circumference and centre is inverted by the former becoming itself an
'indivisible centre'. In a space of this kind there is no Here and
There, as in Euclidean space, for the consciousness is always and
immediately at one with the whole space. Motion is thus quite different
from what it is in Euclidean space. Traherne himself italicized the
word 'instantaneous', so important did he find this fact. (The quality
of instantaneousness - equal from the physical point of view to a
velocity of the value ∞ - will occupy us more closely as a characteristic
of the realm of levity when we come to discuss the apparent velocity of
light in connexion with our optical studies.)

By thus realizing the source in man of the polar-Euclidean
thought-forms, we see the discovery of projective geometry in a new
light. For it now assumes the significance of yet another historical
symptom of the modern re-awakening of man's capacity to remember his
prenatal existence.