File:The main difference between inverting two homothetic conics versus two non-homothetic conics is that in the former case, the inversion preserves the homothety, while in the latter case, it does not necessarily preserve it..jpg
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[edit]DescriptionThe main difference between inverting two homothetic conics versus two non-homothetic conics is that in the former case, the inversion preserves the homothety, while in the latter case, it does not necessarily preserve it..jpg |
العربية: يتمثل الاختلاف الرئيسي بين التعاكس بين مخروطيتين متشابهتين او بين مخروطيتين غير متشابهتين في أن في الحالة الأولى نحصل على مخروطيات ، بينما في الحالة الثانية نحصل على منحنيات عامة (كما في الشكل المرفق). هذا لأن التعاكس يحافظ على التشابه فقط إذا كانت المخروطيات الأولية متشابهة لبعضها البعض. وبدلاً من ذلك ، في الحالة التي يتم فيها تحديد المحل الهندسي لأقطاب الخطوط ...
https://www.researchgate.net/profile/Hasan-Isawi When two conics are homothetic to each other, their inversion preserves homothety. However, if the conics are not homothetic, the inversion will result in generic curves. On the other hand, if we determine the locus of poles of .... == La differenza principale tra l'inversione di due coniche omotetiche e l'inversione di due coniche non omotetiche è che nel primo caso si ottengono ancora delle coniche, mentre nel secondo caso si ottengono delle curve generiche (come nella figura allegata). Ciò è dovuto al fatto che l'inversione preserva l'omotetia solo se le coniche iniziali sono già omotetiche tra loro. Invece, nel caso in cui si determini il luogo dei poli delle rette>>> |
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Source | Own work |
Author | Hasanisawi |
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current | 19:28, 27 April 2023 | 1,171 × 607 (36 KB) | Hasanisawi (talk | contribs) | Uploaded while editing "تعاكس" on ar.wikipedia.org |
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Author | Dr. Hasan |
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Date and time of data generation | 21:52, 27 April 2023 |
Date and time of digitizing | 21:52, 27 April 2023 |
DateTimeOriginal subseconds | 19 |
DateTimeDigitized subseconds | 19 |