334 XXII HERMANN VON HELMHOLTZ it. Take one of Helmholtz's minor researches, e.g. the theoreti- cal paper in which he discusses the formation of liquid jets. The problem is not one that appeals to the lay mind: its solution is only attained by the aid of assumptions which correspond but indifferently to the actual conditions; the influence of the investigation upon science and life can scarcely be called other than slight. And yet the manner in which the problem is solved is such that in studying even a paper like this one feels the same elevation and wonder as in beholding a pure work of art. Upon our comprehension of the difficulties to be surmounted depends the depth of this feeling. We see a man of surpassing strength spring across a yawning chasm apparently without effort, but in reality strain- ing every nerve. Only after the leap do we clearly see how wide the chasm is. Instinctively we break out into applause. But we cannot expect the same spontaneous enthusiasm of spectators from whose standpoint the chasm is not visible, and who can only learn from our descriptions how trying the feat was. To give a brief but fitting sketch of Helmholtz's work is difficult on account of its many-sidedness as well as its pro- fundity. His scientific life interests us like an Odyssey through the whole region of exact investigation. He began as a doctor: he had to study the laws of that life which he wished to succour, and this led him to the study of physiology, which is the scientific part of medicine. He found himself hampered by the gaps in our knowledge of inanimate nature: so he set about filling these and thus drifted more and more towards physics. For the sake of physics he became a mathematician, and in order to probe thoroughly the founda- tions of mathematical knowledge, and knowledge in general, he became a philosopher. When we look through the techni- cal literature of any of these sciences we meet his name: upon all of them he has left his mark. Without attending to chronological order we shall here only describe briefly three of those great achievements which constitute his title to fame. I consider that the most beautiful and charming amongst these, although not the highest, is the invention with which he has enriched practical medicine. I mean the ophthal- moscope. Before him no one was able to investigate the