certain episodes of our intimate life that the clearness of my narrative would suffer if it were not mentioned, however briefly.

Well, twelve years before the time of which I am speaking, there arrived at the Lodge a little girl to whom my uncle was god-father and from whom he used to receive a letter regularly on each 1st of January, bringing him her good wishes for the new year. She lived at Toulouse with her father and mother, who had formerly been in business at Meudon, near my uncle's place. Now the mother had died; and the father, without further ceremony, sent the daughter to Noël Dorgeroux with a short letter of which I remember a few sentences:

My uncle was a very kindly, good-hearted man. The few weeks were followed by several months and then by several years, during which the worthy Massignac at intervals announced his intention of coming to Meudon to fetch the child. So it came about that Bérangère did not leave the Lodge at all and that she surrounded my uncle with so much gay and boisterous affection that, in spite of his apparent indifference, Noël Dorgeroux had felt unable to part with his god-daughter. She enlivened the silent old house with her laughter and her charm. She was the element of disorder and delightful irresponsibility which gives a value to order, discipline and austerity.

Returning this year after a long absence, I had found, instead of the child whom I had known, a girl of twenty, just as much a child and just as boisterous as ever, but exquisitely pretty, graceful in form and movement and possessed of the mystery which marks those who have led solitary lives within the shadow of an old and habitually silent man. From the first I felt that my presence interfered with her habits of freedom and isolation. At once audacious and shy, timid and provocative, bold and shrinking, she seemed to shun me in particular; and, during two months of a life lived in common, when I saw her at every meal and met her at every turn, I had failed to tame her. She remained remote and wild, suddenly breaking off our talks and displaying, where I was concerned, the most capricious and inexplicable moods.

Perhaps she had an intuition of the profound disturbance that was awaking within me; perhaps her confusion was due to my own embarrassment. She had often caught my eyes fixed on her red lips or observed the change that came over my voice at certain times. And she did not like it. Man's admiration disconcerted her.

"Look here," I said, adopting a roundabout method so as not to startle her, "your god-father maintains that human beings, some of them more than others, give forth a kind of emanation. Remember that Noël Dorgeroux is first and foremost a chemist and that he sees and feels things from the chemist's point of view. Well, to his mind, this emanation is manifested by the emission of certain corpuscles, of invisible sparks which form a sort of cloud. This is what happens, for instance, in the case of a woman. Her charm surrounds you . . ."

My heart was beating so violently as I spoke these words that I had to break off. Still, she did not seem to grasp their meaning; and she said, with a proud little air:

"Your uncle tells me all about his theories. It's true, I don't understand them a bit. However, as regards this one, he has spoken to me of a special ray, which he presupposed to explain that discharge of invisible particles. And he calls this ray after the first letter of my name, the B-ray."

"Well done, Bérangère; that makes you the god-mother of a ray, the ray of seductiveness and charm."

"Not at all," she cried, impatiently. "It's not a question of seductiveness but of a material incarnation, a fluid which is even able to become visible and to assume a form, like the apparitions produced by the mediums. For instance, the other day . . ."

She stopped and hesitated; her face betrayed anxiety; and I had to press her before she continued:

"No, no," she said, "I oughtn't to speak of that. It's not that your uncle forbade me to. But it has left such a painful impression. . . ."

"What do you mean, Bérangère?"

"I mean, an impression of fear and suffering. I saw, with your uncle, on a wall in the Yard, the most frightful things: images which represented three—sort of eyes. Were they eyes? I don't know. The things moved and looked at us. Oh, I shall never forget it as long as I live."

"And my uncle?"

"Your uncle was absolutely taken aback. I had to hold him up and bring him round, for he fainted. When he came to himself, the images had vanished."

"And did he say nothing?"

"He stood silent, gazing at the wall. Then I asked him, 'What is it, god-father?' Presently he answered, 'I don't know, I don't know: it may be the rays of which I spoke to you, the B-rays. If so, it must be a phenomenon of materialization.' That was all he said. Very soon after, he saw me to the door of the garden; and he has shut himself up in the Yard ever since. I did not see him again until just now."

She ceased. I felt anxious and greatly puzzled by this revelation:

"Then, according to you, Bérangère," I said, "my uncle's discovery is connected with those three figures? They were geometrical figures, weren't they? Triangles?"

She formed a triangle with her two fore-fingers and her two thumbs:

"There, the shape was like that. . . . As for their arrangement . . ."

She picked up a twig that had fallen from a tree and was beginning to draw lines in the sand of the path when a whistle sounded.

"That's god-father's signal when he wants me in the Yard," she cried.

"No," I said, "to-day it's for me. We fixed it."

"Does he want you?"

"Yes, to tell me about his discovery."

"Then I'll come too."

"He doesn't expect you, Bérangère."

"Yes, he does; yes, he does."

I caught hold of her arm, but she escaped me and ran to the top of the garden, where I came up with her outside a small, massive door in a fence of thick planks which connected a shed and a very high wall.

She opened the door an inch or two. I insisted:

"Don't do it, Bérangère! It will only vex him."

"Do you really think so?" she said, wavering a little.

"I'm positive of it, because he asked me and no one else. Come, Bérangère, be sensible."

She hesitated. I went through and closed the door upon her.

CHAPTER II
THE "TRIANGULAR CIRCLES"

What was known at Meudon as Noël Dorgeroux's Yard was a piece of waste-land in which the paths were lost amid the withered grass, nettles and stones, amid stacks of empty barrels, scrap-iron, rabbit-hutches and every kind of disused lumber that rusts and rots or tumbles into dust.

Against the walls and outer fences stood the workshops, joined together by driving-belts and shafts, and the laboratories filled with furnaces, pneumatic receivers, innumerable retorts, phials and jars containing the most delicate products of organic chemistry.

The view embraced the loop of the Seine, which lay some three hundred feet below, and the hills of Versailles and Sèvres,