In the progress of these lectures I have sought to interest you in those profound investigations which the modern mathematician has made in his efforts to explore the secrets of nature. He has felt that the laws of motion, as we understand them, are bounded by no considerations of space, are limited by no duration of time, and he has commenced to speculate on the logical consequences of those laws when time of indefinite duration is assumed to be at his disposal. From the very nature of the case, observations for confirmation were impossible. Phenomena that required millions of years for their development cannot be submitted to the instruments in our observatories. But this is perhaps one of the special reasons which make such investigations of peculiar interest, and entitle us to speak of the revelations of Time and Tide as a romance of modern science. INDEX. Aberdeen, tides at, 23 Action and reaction, 69 Adams, discoverer of Neptune, 186 Admiralty Manual of Scientific Inquiry, 30, 31, 34 Admiralty tide tables, 29 Africa, Krakatoa dust over, 84 Analysis, harmonic, of tides, 34 Analysis of tide into its constituents, 33 Ancient tides on moon, 136 Annus Magnus of solar system, 72 Areas, conservation of, 61 Arklow, tides at, 23 Ascension, tides at, 24 Astronomical chronology, 147 Atlantic, Krakatoa dust over, 84 Atlantic, tides in, 38 Atmosphere, tides in, 40 Avon, tides in, at Bristol, 39 Ball-room, illustration, 62 Barometric records of Krakatoa airwave, 82 Batavia, Krakatoa heard at, 83 Bath, hot waters at, 89 Bay of Fundy, 39 Beds of rock, how formed, 149 Birmingham, lecture at, 148 Birth of moon, 118 Blast iron furnace, 87 Blue sun produced by Krakatoa, 84 Bodily tides of moon, 131 Brake illustrating friction, 68 Brickwork as a non-conductor, 87 Bristol Channel, 39 Bucket of water, oscillations in, 98 Cambrian rocks, 153 Cannon-ball, energy of, 51 Cardiff, tides at, 39 Caspian Sea, tides in, 38 Casting, cooling of, 79 Celebes, Krakatoa heard at, 83 Central America, 86 Change and full, tides at, 22 Chemical action in earth, 81 Chepstow, tides at, 39 Chronology, the two systems of, 147 Clifton, tides in Avon at, 39 Clock, illustration of, 49 Coal, 11 Coincidence of moon's rotation and revolution, 134 Combustion, heat of, 92 Cones, volume of, 151 Conservation of spin or areas, 64 Constituent tides, 35 Consumption of energy by tides, 48 Cooling, laws of, 79 Cooling of earth from primitive heat, 87 Crane, brakes on, 69 Craters of moon, 94 Critical epoch in earth's history, 75