 | John Michels (Journalist) - 1883 - 874 lapas
...two-dimensional) geometry ; and the doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere; understand...line, the apparently straight line (in fact, an arc of great circle) drawn on the surface. What experience would In the first instance teach would be Euelidían... | |
 | John Michels (Journalist) - 1883 - 880 lapas
...two-dimensional) geometry ; and the. doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere; understand...line, the apparently straight line (in fact, an arc of great circle) drawn on the surface. What experience would in the first instance teach would be I'.n480... | |
 | 1884 - 594 lapas
...two-dimensional) geometry; and the doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere ; understand...line the apparently straight line (in fact, an arc of great circle), drawn on the surface what experience would in the first instance teach would be Euclidian... | |
 | Arthur Cayley - 1896 - 676 lapas
...two-dimensional) geometry ; and the doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere ; understand...line the apparently straight line (in fact, an arc of great circle) drawn on the surface; what experience would in the first instance teach would be Euclidian... | |
 | Arthur Cayley - 1896 - 663 lapas
...two-dimensional) geometry; and the doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere; understand...line the apparently straight line (in fact, an arc of great circle) drawn on the surface; what experience would in the first instance teach would be Euclidian... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1893 - 554 lapas
...two-dimensional) geometry ; and the doing so will, I think, throw some light on the whole question." First imagine the earth a perfectly smooth sphere ; understand...line the apparently straight line (in fact an arc of a great circle) drawn on the surface; what experience would in the first instance teach would be Euclidean... | |
 | 1893 - 562 lapas
...two-dimensional) geometry ; and the doing so will, I think, throw some light on the whole question." First imagine the earth a perfectly smooth sphere; understand...line the apparently straight line (in fact an arc of a great circle) drawn on the surface; what experience would in the first instance teach would be Euclidean... | |
 | 1883 - 1060 lapas
...two-dimensional) geometry; and the doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere ; understand...line the apparently straight line (in fact an arc of a great circle) drawn on the surface ; what experience would in the first instance teach would be Euclidian... | |
 | William Bragg Ewald - 2005 - 696 lapas
...two-dimensional) geometry; and the doing so will, 1 think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere; understand...line the apparently straight line (in fact, an arc of great circle) drawn on the surface; what experience would in the first instance teach would be Euclidian... | |
 | 1884 - 1106 lapas
...two-dimensional) geometry; and the doing so will, I think, throw some light on the whole question. First, imagine the earth a perfectly smooth sphere ; understand...line the apparently straight line (in fact an arc of great circle) drawn on the surface ; what experience would in the first instance tench would be Euclidian... | |
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It is interesting to consider two different ways in which, without any modification at all of our notion of space, we can arrive at a system of non-Euclidian (plane or two-dimensional) geometry ; and the doing so will, I think, throw some light on the... 