"AN EXAMINATION OF SOME SUPPOSED MATHEMATICAL IMPOSSIBILITIES." "There," he murmured, as he put the sheet back; "I think that such a theme, adequately treated, will considerably astonish my learned friends in general, and my esteemed critic, Van Huysman, in particular." From which remark it will be gathered that Franklin Marmion had certainly recrossed the dividing line between the two Planes of Existence. CHAPTER VIII MISS BRENDA ARRIVES, AND PHADRIG THE EGYPTIAN PROPHESIES "Now, this is just too sweet of you, Niti, to come so soon after we got here. In five minutes more I should have written you a note, asking you and the Professor to come and take lunch with us to-morrow, and here you've anticipated me, so we have the pleasure of seeing you all the sooner." These were the words with which Miss Brenda van Huysman greeted Nitocris as she entered the drawing-room of the suite of apartments which formed her home for the time being in London. I say her home advisedly, because, although her father and mother also occupied it, she was virtually, if not nominally, mistress undisputed of the splendid camping-place. She was an almost perfect type of the highly developed, highly educated American girl of to-day, a marvellous compound of intense energy and languorous grace. She had done as brilliantly at Vassar as Nitocris had done at Girton and London, and she had also rowed stroke in the Ladies' Eight, and was champion fencer of the College. Yet as far as her physical presence was concerned, she was just a "Gibson Girl" of the daintiest type--fair-skinned, blue-eyed, golden-haired--her hair had a darker gleam of bronze in it in certain lights--exquisitely moulded features which seemed capable of every sort of expression within a few changing moments, and a poise of head and carriage of body which only perfect health and the most scientific physical training can produce. In a word, she was one of those miraculous developments of femininity which Nature seems to have made a speciality for the particular benefit of the younger branch of the Anglo-Saxon race. As for her dress--well, the shortest and best way to describe that is to say that it exactly suited her. As she spoke, and their hands met, Mrs van Huysman got up and came towards them, saying: "Good afternoon, Miss Marmion. We were real glad to get your 'phone, and it's good to see you again. How's the Professor? Too busy to come with you, I suppose, as usual. We see he's going to lecture before the Royal Society on the tenth, and I reckon we shall all be there to listen to him. I shouldn't wonder but there'll be trouble as usual between him and my husband. It seems a pity that two such clever men should waste so much time in scrapping over these scientific things, which don't seem to matter half a cent, anyhow."