کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582355 | 1333792 | 2016 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Albime triangles and Guy’s favourite elliptic curve
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Albime triangles and Guy’s favourite elliptic curve Albime triangles and Guy’s favourite elliptic curve](/preview/png/4582355.png)
چکیده انگلیسی
This text discusses triangles with the property that a bisector at one vertex, the median at another, and the altitude at the third vertex are concurrent. It turns out that since the 1930s, such triangles appeared in the problem sections of various journals. We recall their well known relation with points on a certain elliptic curve, and we present an elementary proof of the classical result providing the group structure on the real points of such an elliptic curve. A consequence of this answers a question posed by John P. Hoyt in 1991.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 34, Issue 1, 2016, Pages 82–94
Journal: Expositiones Mathematicae - Volume 34, Issue 1, 2016, Pages 82–94
نویسندگان
Erika Bakker, Jasbir S. Chahal, Jaap Top,