File:إجراء وصفي لتحديد سلسلة شتاينر باستخدام التعاكس.jpg
Original file (952 × 945 pixels, file size: 97 KB, MIME type: image/jpeg)
Captions
Captions
Summary[edit]
| Description |
العربية: إجراء وصفي لتحديد سلسلة شتاينر باستخدام التعاكس
معلوم: دائرتين داخليتين ، Δ' و Δ" ، غير متحدة المركز. مطلوب: تحديد سلسلة شتاينر. يتكون الإجراء مما يلي: - نستخدم طريقة التعاكس لتحويل Δ' و Δ" الى دائرتين Δ'* و Δ"* متحدتا المركز. - نقوم بإنشاء سلسلة من الدوائر المتماسة لبعضها البعض والمتماسة ايضا لـ Δ'* و Δ"*. هذه الدوائر تشكل سلسلة شتاينر. - نستخدم طريقة التعاكس مجددا لتحديد الدوائرة المتقابلة لـ Δ' و Δ". من المهم أن نلاحظ التعاكس علاقة تقابلية، حيث تصطف النقاط المتقابلة مع مركز التعاكس؛ وتتلاقى الخطوط المتقابلة على محور التعاكس. في حالة الدوائر، يكون محور التعاكس غير نهائي لأن الاشكال المتقابلة مشابهة لبعضها البعض. مدونة الدكتور حسن العيسوي. Dr. Hasan ISAWI https://isawi-bookmark.blogspot.com/2023/06/steiner-chain.html A Descriptive Procedure for Constructing the Steiner Chain through Inversion Given two internal circles, ΔP and ΔQ, that are not concentric, the goal is to determine the Steiner chain. The procedure involves the following steps: Determine the inverse circles of the given circles using inversion. Construct a series of circles that are tangent to each other and also tangent to ΔP and ΔQ. These circles form the Steiner chain. Determine the inverses of the constructed circle series using inversion again. It is important to note that inversion is a bijective correspondence, where corresponding points are aligned with the center of inversion and corresponding lines meet on the axis of inversion. However, in the case of omotetic circles, the axis of inversion is improper as the circles are already homothetic to each other. Un Procedimento Descrittivo per Costruire la Catena di Steiner Mediante Inversione Sono date due circonferenze interne, ΔP e ΔQ, che non sono concentriche. L'obiettivo è determinare la catena di Steiner. Il procedimento consiste nel seguente: Si determinano le circonferenze inverse delle circonferenze date utilizzando l'inversione. Si costruisce una serie di circonferenze tangenti tra loro e tangenti anche a ΔP e ΔQ. Queste circonferenze formano la catena di Steiner. Si determinano le inverse della serie di circonferenze costruite, utilizzando di nuovo l'inversione. È importante notare che l'inversione è una corrispondenza biunivoca, in cui i punti corrispondenti sono allineati con il centro dell'inversione e le rette corrispondenti si incontrano sull'asse dell'inversione. Tuttavia, nel caso delle circonferenze omotetiche, l'asse dell'inversione è improprio in quanto le circonferenze sono già omotetiche tra loro. |
| Date | |
| Source | Own work |
| Author | Hasanisawi |
Licensing[edit]
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:25, 11 June 2023 | | 952 × 945 (97 KB) | Hasanisawi (talk | contribs) | Uploaded while editing "سلسلة شتاينر" on ar.wikipedia.org |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on ar.wikipedia.org
