File:Coni-tangenti-tra-loro.jpg

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Italiano: Due coni sono tangenti tra loro quando hanno una stessa generatrice in comune

per esempio in figura i due coni che hanno vertici in V e W ed hanno in comune la generatrice g sono tangenti tra loro.

secondo il detto concetto, un ipotesi può essere la seguente: "In tutti i casi in cui sono date due coni con vertici qualsiasi (distinti, coincidenti) e con assi principali qualsiasi (incidenti o sghembi) e' possibile determinare un terzo cono tangenti ai dati coni."

I detti due coni dati possono assumere tra loro i seguenti due posizioni:

  • A- coni aventi assi incidenti (compreso il caso in cui i vertici coincidenti)
  • B- e coni aventi assi sghembi

I casi che sono stati affrontati fino a desso riguardava il caso A, ovvero quando i due coni hanno assi complanari. I sotto casi di A sono:

  • A1- coni aventi vertici coincidenti
  • A2- coni aventi vertici distinti

In tutti in i casi della sotto categoria A (in cui i due coni hanno assi complanari) esiste un piano tangenti a tali coni. Invece l'eventuale esistenza di un terzo cono tangente si e' verificata nel sotto caso A2 solo quando i dati due coni sono corrispondenti tra loro.

Due coni sono corrispondenti tra loro quando le loro basi sono corrispondenti e anche i loro vertici.
العربية: مخروطين يكونا متماسيين لبعضهما إذا كان هناك راسم واحد مشترك بينهما

على سبيل المثال الشكل المرفق يبين مخروطين متماسان لبعضهما، الراسم المشترك بينهما هو الخط ج الذي يمر بالقمتين ف فف للمخروطين

في إطار هذا المفهوم ، من الممكن تكوين الافتراض التالي : "في جميع الحالات التي نقرر فيها مخروطين قمتيهما أي نقطتين (متطابقتين او منفصلتين) ومحاورهما أي خطين ( متحدتان المستوى أو متخالفان), من الممكن إيحاد مخروط ثالث متماس لهاذين المخروطين.. "

هذين المخروطين يمكن أن يحتلان فيما بينهما موضعان فقط ، وهما : 1 -- عندما تكون محاورهما تكون أحاديه المستوى (بما في ذلك الحالة التي تكون فيها القمم متطابقة)

٢ وعندما محاورهما تكون متخالفة
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Author Hasanisawi

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current11:59, 26 December 2011Thumbnail for version as of 11:59, 26 December 20111,013 × 290 (95 KB)Hasanisawi (talk | contribs){{Information |Description ={{it|1=Due coni sono tangenti tra loro quando hanno una stessa generatrice in comune per esempio in figura i due coni che hanno vertici in V e W ed hanno in comune la generatrice g sono tangenti tra loro. }} {{ar|1=مخرو�

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