...hat a great extent of the earth’s area I beheld. The convex surface of any segment of a sphere is, to the entire surface of the sphere itself, as the ... ... is, to the entire surface of the sphere itself, as the versed sine of the segment to the diameter of the sphere. Now, in my case, the versed sine — t... ...e. Now, in my case, the versed sine — that is to say, the thickness of the segment beneath me — was about equal to my elevation, 45 V olume One or th... ...ght wood, about nine feet long, and rigged on to the balloon itself with a network in the customary manner. From this frame- work was suspended a wick... ...nd the consequent disruption of the minute particles of ice with which the network had become encrusted during the night. Threw down several bottles t...

...ty, resourcefulness. An ideally perfect knowl- edge would represent such a network of interconnections that any past experience would offer a point of... ...it formulation of the traits characteristic of these cut-off and one-sided segments of experience—one-sided because barriers to intercourse prevent th...