This rare affection of the skin and mucous membranes of the nose and mouth, which may involve also the cheeks, ears, tongue, lips, fingers and other parts of the body, is associated with recurring epistaxis of the familial type. In one of my cases, hemorrhage in the brain occurred, causing temporary hemiplegia and other symptoms of apoplexy. I have been able to find only thirty case reports. Steiner1 found twenty-eight, including three of his own. Osler, in one of the best contributions to the subject,2 reported three cases; and at that time (1901) he could find only one reference to a similar case, reported by Rendu.3 Six years later, Osler4 reported an additional case. However, he overlooked the cases reported by Chiari5 and by J. W. Legg.6 Only eight cases were found by A. Brown Kelly,7 and he reported two cases of his own. None of the numerous works on