 I of the American Journal of Mathematics he has a note " On a Class of Transformations which Surfaces may Undergo in Space of more than Three Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a closed material...  Nature - Sida 116redigerad av - 1878Obegränsad förhandsgranskning - Om den här boken
 | Benjamin Franklin Finkel - 1888 - 518 sidor
...which Surfaces may Undergo in Space of more than Three Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a...shell) could be turned inside out by simple flexure without either stretching or tearing. Later articles have been on the theory of errors in observations.... | |
 | Florian Cajori - 1890 - 426 sidor
...which Surfaces may Undergo in Space of more than Three Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a...shell) could be turned inside out by simple flexure without either stretching or tearing. Later articles have been on the theory of errors in observations.... | |
 | United States. Office of Education - 1890 - 958 sidor
...which Surfaces may Undergo in Space of more than Three Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a...shell) could be turned inside out by simple flexure without either stretching or tearing. Later articles have been on the theory of errors in observations.... | |
 | 1888 - 1078 sidor
...which Sur faces may Undergo in Space of more than Three Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a...shell) could be turned inside out by simple flexure without either stretching or tearing. Later articles Li been on the theory of errors in observations.... | |
 | Cleveland Engineering Society - 1918 - 434 sidor
...D H H s B r Figure 4. of Mathematics begins with a proof by Professor Newcomb of the proposition : "If a fourth dimension were added to space, a closed...shell) could be turned inside out by simple flexure ; without either stretching or tearing." A paper in a later volume describes the six regular hypersolids... | |
 | National Academy of Sciences (U.S.) - 1924 - 240 sidor
...of more than three dimensions. Amer. Jl. Math., vol. 1 (1878): 1-4. One of the results found is: " If a fourth dimension were added to space a closed...shell) could be turned inside out by simple flexure; without either stretching or tearing." 25. The fundamental definitions and propositions of geometry... | |
 | Royal Society of Canada - 1906 - 910 sidor
...surfaces may undergo in space of more than three dimensions. Amer. Jl. Math., 1878, Vol. 1, pp. 1-4. " ff a fourth dimension were added to space a closed material...shell) could be turned inside out by simple flexure, without either stretching or tearing." CXIX. Instructions for observing the transit of Mercury, May... | |
 | Tony Robbin - 2008 - 151 sidor
...geometry— specifically, the article discussed what has come to be known as sphere eversion. Newcomb stated, "If a fourth dimension were added to space, a closed...shell) could be turned inside out by simple flexure; without either stretching or tearing." To prove this, Newcomb first defined a series of "infinite plane... | |
 | Benjamin Franklin Finkel - 1894 - 908 sidor
...which Surfaces may Undergo in Space of more than Three Dimensions," in which he shows, for instance, that if a fourth dimension were added to space, a closed material surface (or shell) could be turned in side out by simple flexure without either stretching or tearing. Later articles have been on the... | |
 | 1924 - 232 sidor
...space of more than three dimensions. Amer. JL Math., vol. 1 (1878): 1-4. One of the results found is: " If a fourth dimension were added to space a closed material surface (or shell) oould be turned Inside out by simple flexure; without either stretching or tearing." 25. The fundamental... | |
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