 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 - Page 116redigeeritud poolt - 1878Full view - About this book
 | Benjamin Franklin Finkel - 1888 - 518 lehte
...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 lehte
...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 lehte
...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 lehte
...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 lehte
...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 lehte
...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 lehte
...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 lehte
...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 lehte
...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 lehte
...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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