File:8circonferenze-tangenti3.jpg
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English: Given three distinct circles, I want to build eight circles tangent to them
the procedure adopted is to determine the locus of the centers of all circles, tangent to each pair of Given circles. I found that Each pair of Given circles admits two hyperbola with the property of that locus Since we have three Given circles, the total number of hyperbole are six. The points common of each three branches of that hyperbola, are the centers of the eight circles that I looking for.Italiano: Date tre circonferenze distinti, si vuole costruire otto circonferenze tangenti ad esse
il procedimento adottato e' quello di determinare i luoghi geometrici dei centri di tutte le circonferenze, tangenti ad ogni coppia delle circonferenze date. ogni coppia delle circonferenze date ammette due iperbole con la proprietà del detto luogo geometrico Dato che abbiamo tre cionfernze date, il numero totale delle iperbole sono sei. I punti comuni ad ogni tre rami di tale iperbole, sono i centri delle otto circonferenze cercate.العربية: أعطيت ثلاث دوائر مختلفة، يراد انشاء ثماني دوائر ماسة للدوائر المعطية
الاجراء الذي اعتمد يكمن في تحديد المحل الهندسي لجميع مراكز الدوائرالماسة كل زوج من الدوائر المعطية. كل زوج من الدوائر لة قطعين زائدين بخاصية ذلك المحل الهندسي وبما ان الدوائر المعطية ثلاثة ، فإن العدد الإجمالي للقطع الزائدة يكون ستة. النقاط المشتركة بين فروع كل ثلاثة قطع زائدة، تكون مراكز الدوائر الثماني المطلوبة. |
| Source | Own work |
| Author | Hasanisawi |
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| current | 23:34, 17 December 2010 | | 824 × 681 (207 KB) | Hasanisawi (talk | contribs) | {{Information |Description={{en|1=Given three distinct circles, I want to build eight circles tangent to them the procedure adopted is to determine the locus of the centers of all circles, tangent to each pair of Given circles. I found that Each pair of |
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