 | Thomas Leybourn - 1809 - 434 σελίδες
...curious property of numbers forms a part of the celebrated theorem of Fermât, viz. " Every number is a triangular number, or the sum of two, or three triangular numbers ; a square, or the sum ot two, three, or Jour squares; a pentagonal, or the sum of tâo, three, four, or ßve pentagonal numbers;... | |
 | Uriah Parke - 1849 - 414 σελίδες
...obvious from the formation of the foregoing series that " Every number, whether prime or composite, is either a triangular number or the sum of two or...square, or the sum of two, three or four squares," and we might extend this principle to other classes but it is unnecessary. Powers, Rational Numbers,... | |
 | Uriah Parke - 1850 - 402 σελίδες
...obvious from the formation of the foregoing series that " Every number, whether prime or composite, is either a triangular number or the sum of two or...square, or the sum of two, three or four squares," and we might extend this principle to other classes but it is unnecessary. Powers, Rational Numbers,... | |
 | Edward Brooks - 1876 - 584 σελίδες
...enclosing both of the former, etc. The following property of polygonal numbers was discovered by Fennat : Every number is either a triangular number or the sum of two or three triangular numbers; every number is either a square number, or the sum of two, three, or four square numbers; every number... | |
 | Edward Brooks - 1880 - 584 σελίδες
...of the former, etc. The following property of polygonal numbers was discovered by Ferrnat : Etiery number is either a triangular number or the sum of two or three triangular numbers ; every number is either a square number, or the sum of two, three, or four square numbers; every number... | |
 | Florian Cajori - 1893 - 476 σελίδες
...composed of two cubes can be resolved into two other cubes in an infinite multiplicity of ways. (5) Every number is either a triangular number or the sum of two or three triangular numbers; either a square or the sum of two, three, or four squares; either a pentagonal number or the sum of... | |
 | Florian Cajori - 1898 - 512 σελίδες
...composed of two cubes can be resolved into two other cubes in an infinite multiplicity of ways. (5) Every number is either a triangular number or the sum of two or three triangular numbers ; either a square or the sum of two, three, or four squares ; either a pentagonal number or the sum... | |
 | Sir Thomas Little Heath - 1910 - 420 σελίδες
...notes : " I have been the first to discover a most beautiful theorem of the greatest generality, namely this : Every number is either a triangular number or the sum of two or three triangular numbers ; every number is a square or the sum of two, three, or four squares; every number is a pentagonal... | |
 | Jan Gullberg - 1997 - 1148 σελίδες
...and here is why: oo o ooo oo oo o ooo o o 0 00 00 1 3 5 7 9 11 It has been proved that every integer is either a triangular number or the sum of two or three triangular numbers. Square numbers, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, etc., are figurate in this way: •... | |
 | Thomas L. Heath - 1910 - 406 σελίδες
...notes : " I have been the first to discover a most beautiful theorem of the greatest generality, namely this : Every number is either a triangular number or the sum of two or three triangular numbers ; every number is a square or the sum of two, three, or four squares; every number is a pentagonal... | |
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I have been the first to discover a most beautiful theorem of the greatest generality, namely this: Every number is either a triangular number or the sum of two or three triangular numbers; every number is a square or the sum of two, three, or four squares... 