A nonstandard generalization of envelopes
Joint Authors
Ismail, Tahir H.
Hamad, Ibrahim O.
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 5, Issue 2 (31 Dec. 2008), pp.73-83, 11 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2008-12-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
الهدف من هذا البحث هو اعطاء صيغة معممة جديدة لتعريف الغلاف و ذلك بإعطاء تعريف غير قياسي للغلاف عائلة من المستقيمات معرفة في إحداثيات الاسقاطية المتجانسة بواسطة : u(t)x+ v(t)y w(t)z = : 0 و كذلك تم تطبيق التعريف الجديد على منحنيات المخطروطية و ذلك بالبحث عن معادلة عائلة المنحنيات التي يكون غلافها منحنيا مخطروطيا معروفا.
Abstract EN
The generalized envelopes are studied by a given nonstandard definition of envelope of a family of lines defined in a projective homogenous coordinates PHC by: u(t) x + v(t) y + w(t) z = 0.
The new nonstandard concepts of envelope are applied to conic sections.
Our goal in this paper is hat for a given conic section curve f(x, y) = 0, we search for the family of lines in which f is its envelope.
American Psychological Association (APA)
Ismail, Tahir H.& Hamad, Ibrahim O.. 2008. A nonstandard generalization of envelopes. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 5, no. 2, pp.73-83.
https://search.emarefa.net/detail/BIM-332406
Modern Language Association (MLA)
Ismail, Tahir H.& Hamad, Ibrahim O.. A nonstandard generalization of envelopes. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 5, no. 2 (2008), pp.73-83.
https://search.emarefa.net/detail/BIM-332406
American Medical Association (AMA)
Ismail, Tahir H.& Hamad, Ibrahim O.. A nonstandard generalization of envelopes. al- Rafidain Journal of Computer Sciences and Mathematics. 2008. Vol. 5, no. 2, pp.73-83.
https://search.emarefa.net/detail/BIM-332406
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 83
Record ID
BIM-332406
