%0 Generic %1 citeulike:3036294 %A Euler, Leonhard %D 2005 %K Vor1900 available-in-tex-format mathematics number-theory pre1900 %T An algebraic problem of finding four numbers, given the products of each of the numbers with the sum of the three others %U http://arxiv.org/abs/math/0504172 %X In this paper Euler considers the problem of given a,b,c,d where a=v(x+y+z), b=x(v+y+z), c=y(v+x+z), d=z(v+x+y), determining v,x,y,z. He makes many changes of variable and ends up with four nicer equations, each in terms of a new variable u and the constants a,b,c,d. I do not understand exactly what Euler is doing, but I think the translation is ``correct''. If anyone understands what Euler is doing, please email me so I can make the translation flow better.

@misc{citeulike:3036294, abstract = {In this paper Euler considers the problem of given a,b,c,d where a=v(x+y+z), b=x(v+y+z), c=y(v+x+z), d=z(v+x+y), determining v,x,y,z. He makes many changes of variable and ends up with four nicer equations, each in terms of a new variable u and the constants a,b,c,d. I do not understand exactly what Euler is doing, but I think the translation is ``correct''. If anyone understands what Euler is doing, please email me so I can make the translation flow better.}, added-at = {2009-08-02T17:14:35.000+0200}, archiveprefix = {arXiv}, author = {Euler, Leonhard}, biburl = {https://www.bibsonomy.org/bibtex/24f84d6f88dc7b726fdb47e299b9dc609/rwst}, citeulike-article-id = {3036294}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0504172}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0504172}, description = {my bookmarks from citeulike}, eprint = {math/0504172}, interhash = {f082932e4fb4041073be1dfe0a588631}, intrahash = {4f84d6f88dc7b726fdb47e299b9dc609}, keywords = {Vor1900 available-in-tex-format mathematics number-theory pre1900}, month = Apr, posted-at = {2008-07-23 08:53:19}, priority = {2}, timestamp = {2009-08-06T10:27:04.000+0200}, title = {An algebraic problem of finding four numbers, given the products of each of the numbers with the sum of the three others}, url = {http://arxiv.org/abs/math/0504172}, year = 2005 }