Collected Works (Vol. II)

266 THE EXCLUDED MIDDLE; OR, THE SCEPTIC REFUTED a line must have length without breadth, and a curved line may certainly have breadth, for it need not lie in one plane.! M. True. | 5S. Hence we may conclude that the line of demarcation between A and zot-A is many and not one. Now an universe is that which turns to one,” when truly considered. Our line does the reverse of this, for it appeared one at first, and split up on examination. M. Exactly ; but that is where I have you in a corner. S. Dollar wheat ! wheat ! AZ. It is the ‘reverse’ which does you.? If you turn a man _ fourth-dimensionally round, his hemispherical ganglia will prove interchangeable ? S. No doubt, for they are symmetrical. M. His polygonal fissures are identical with themselves? S. I admit it, for they are ambidextrous. _A/, His hypertrophied constrictor Cunni will feel nothing? S. No; it is medial. Af. Then how is he changed? Dollar wheat ! - Dollar 1 The mathematical proof of this is simple. A surface is composed of an infinite number of parallel straight lines touching each other. Now for parallel straight lines place a single convoluted chortoid with a parabolic direction of r#-94 9-7 At all the foci will be (2 --1)(2+m+1) /-1 (p+v) +sin®-*cosa— Now since #+17 is in this case unity and m=n, we have— fc{tan 6-Ovcos(7+a) a/ —micsinOe O-€ ark j fe cos 0+ sin 8) [7 tan 0+72 sec 0] If the chortoid lie in one plane this expres- ‘sion=O;; but if not, it = sin @~* cos 67 ?, @ being the angle subtended by the common arc of the original curve, by Halley’s theorem, ellipses of the form or sin —, in which case the expression is unreal, w and may be neglected. 2 Two or more things cannot form part of any one thing, in so far as they remain two, Considered in relation to that of which they form part, they become fractions. 3 Cf. A. B, Douglas, Reminiscences. S. Fourth-dimensionally ; no more. M. Yet his right optic nerve will see through his left eye? S. Of course. Af. Then of an event, an argument, a dialectic euhemerism, protoplasmic or blasto- dermic? S. I see what you mean. You would say that duality irresolvable into unity has no parallel in the regions of pure intelligence, seeks no corollary from the intuitive organic reactions of the hyperbolic cells ? 1 M. I would. S. The devil you would ! M. I would. Our line becomes single? S. In the higher sense. Mf, So that the Mind of the Father riding on the subtle guiders got it right after all? S. Pretty right. M. And all things are divisible Three, not into Two? S. Into A, zot-A, and the dividing line. M. Though the Reason of Man _ has boggled often enough at this, the intuition of Woman has always perceived it. 5S. But she has gone too far, placing the importance of that dividing middle above all into other things in earth or heaven. We hold the balance fair and firm. M. (glad). How blessed is this day, Scepticus ! S. (Concedine the point, and catching the glow). Let us make a night of it! M. (Enjoying his triumph). We will. Do not forget twilight !. S. (2 holy rapture). cus, into Three ! M, (Ditto, only more so). Glory be to the Father, and to the Son, and to the Holy Ghost. S. (fn the trance called Nerodha-Sama- patti). As it was in the beginning, is now, and ever shall be, world without end. M. (Ditto, after an exhilarating switch- back ride through the Eight High Trances). AMEN. Into Three, Mysti- 1 Both colloid, caudate, and epicycloid, of course.