History has given us a source of information from these early periods of man's existence in Traherne's recollections of the time when his soul was still in the state of cosmic consciousness. Among his descriptions we may therefore expect to find a picture of levity-space which will confirm through immediate experience what we have arrived at along the lines of realistic mathematical reasoning. Among poems quoted earlier, his The Praeparative and My Spirit do indeed convey this picture in the clearest possible way. The following are relevant passages from these two poems. In the first we read: 'Then was my Soul my only All to me, A living endless Ey, Scarce bounded with the Sky Whose Power, and Act, and Essence was to see: I was an inward Sphere of Light, Or an interminable Orb of Sight, Exceeding that which makes the Days . . .' In the second poem the same experience is expressed in richer detail. There he says of his own soul that it - ... being Simple, like the Deity, In its own Centre is a Sphere, Not limited but everywhere. It acts not from a Centre to Its Object, as remote; But present is, where it doth go To view the Being it doth note ... 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. *