Diophantus of Alexandria: A Study in the History of Greek AlgebraUniversity Press, 1910 - 387 páginas |
Dentro del libro
Resultados 1-5 de 9
Página 127
... angles are given , and for finding the side when the number and the number of its angles are given . These fine results and the fragment of the difficult problem of finding the number of ways in which any given number can be a polygonal ...
... angles are given , and for finding the side when the number and the number of its angles are given . These fine results and the fragment of the difficult problem of finding the number of ways in which any given number can be a polygonal ...
Página 188
... angles . The proof of it , which depends on many various and abstruse mysteries of numbers , I cannot give here ; for I have decided to devote a separate and complete work to this matter and thereby to advance arithmetic in this region ...
... angles . The proof of it , which depends on many various and abstruse mysteries of numbers , I cannot give here ; for I have decided to devote a separate and complete work to this matter and thereby to advance arithmetic in this region ...
Página 247
... angles , with the addition to the product of a certain square also depending on the number of the angles , turned out to be a square . This I shall prove , first showing how any assigned polygonal number may be found from a given side ...
... angles , with the addition to the product of a certain square also depending on the number of the angles , turned out to be a square . This I shall prove , first showing how any assigned polygonal number may be found from a given side ...
Página 251
... angles as the common difference increased by 2 contains units , and its side is the number of the terms set out including 1. " The numbers being as set out in the figure of Prop . 4 , we have , by that proposition , ( sum of terms ) ...
... angles as the common difference increased by 2 contains units , and its side is the number of the terms set out including 1. " The numbers being as set out in the figure of Prop . 4 , we have , by that proposition , ( sum of terms ) ...
Página 252
... angles as PB , the number of its angles being the same as the number of units in the number which is greater by 2 , or PK , than the common difference KB , and that its side is GH which is equal to the number of terms including 1 . And ...
... angles as PB , the number of its angles being the same as the number of units in the number which is greater by 2 , or PK , than the common difference KB , and that its side is GH which is equal to the number of terms including 1 . And ...
Otras ediciones - Ver todo
Diophantus of Alexandria: A Study in the History of Greek Algebra Thomas L. Heath Vista previa restringida - 1910 |
Diophantus of Alexandria: A Study in the History of Greek Algebra Sir Thomas Little Heath,Leonhard Euler Vista de fragmentos - 1964 |
Términos y frases comunes
absolute term added Algebra arithm Assume auxiliary triangle Bachet Books coefficient commentary cube difference Dioph Diophantus double-equation equal Euler expression factors find a right-angled find three numbers find three squares find two numbers four numbers fraction Frénicle given number given ratio gives a square Greek hypotenuse Iamblichus indeterminate indeterminate equations integral Lagrange Lemma letter Maximus Planudes method minus multiplied Nesselmann obtain Oeuvres de Fermat polygonal number Porisms prime number problem proposition quadratic rational numbers required numbers required squares right-angled triangle satisfy the conditions solution square number substitute subtract Suppose Tannery Theon of Smyrna theorem third number triple-equation unknown quantity whence whole numbers Xylander καὶ