LEADER |
01705nam a22002897a 4500 |
001 |
1477090 |
041 |
|
|
|a eng
|
100 |
|
|
|9 457302
|a Shahwan, Ruba
|e Author
|
245 |
|
|
|a Billiards Periodicity in Polygons
|
260 |
|
|
|a بيرزيت
|c 2017
|
300 |
|
|
|a 1 - 89
|
336 |
|
|
|a رسائل جامعية
|
502 |
|
|
|b رسالة ماجستير
|c جامعة بيرزيت
|f كلية الدراسات العليا
|g فلسطين
|o 1150
|
520 |
|
|
|a In this research we survey the periodicity of billiards in some class of polygons (the polygons which tiles the plane with reflection), then we study the periodicity of billiards in triangles. It has been shown that by elementary geometric ways that an acute, right and isosceles triangles always have a periodic billiard path. Schwartz write a computer assisted proof that a triangle has a periodic billiard path when all its angles are at most one hundred degree. But the conjecture that does the triangles which have an angle greater than 100 degree is still open.
|
653 |
|
|
|a البلياردو
|a الطرق الهندسية
|a المثلثات
|a علوم الرياضيات
|
700 |
|
|
|9 457303
|a Saleh, Mohammad
|e Advisor
|
856 |
|
|
|u 9808-013-001-1150-T.pdf
|y صفحة العنوان
|
856 |
|
|
|u 9808-013-001-1150-A.pdf
|y المستخلص
|
856 |
|
|
|u 9808-013-001-1150-C.pdf
|y قائمة المحتويات
|
856 |
|
|
|u 9808-013-001-1150-F.pdf
|y 24 صفحة الأولى
|
856 |
|
|
|u 9808-013-001-1150-1.pdf
|y 1 الفصل
|
856 |
|
|
|u 9808-013-001-1150-2.pdf
|y 2 الفصل
|
856 |
|
|
|u 9808-013-001-1150-3.pdf
|y 3 الفصل
|
856 |
|
|
|u 9808-013-001-1150-R.pdf
|y المصادر والمراجع
|
930 |
|
|
|d y
|
995 |
|
|
|a Dissertations
|
999 |
|
|
|c 850943
|d 850943
|