کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9496523 1335841 2005 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rational tetrahedra with edges in arithmetic progression
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Rational tetrahedra with edges in arithmetic progression
چکیده انگلیسی
This paper discusses tetrahedra with rational edges forming an arithmetic progression, focussing specifically on whether they can have rational volume or rational face areas. Several infinite families are found which have rational volume, a face can have rational area only if its edges are themselves in arithmetic progression, and a tetrahedron can have at most one such rational face area.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 111, Issue 1, March 2005, Pages 57-80
نویسندگان
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