MONANDI

MONANDI, mafhumi geometriest, ki shaklhoi yakkhelai figurahoi geometriro (novobasta ba andozaashon) ifoda mekunad. Agar bayni nuqtahoi shaklhoi (figurahoi) F| va Ft muvofiqguzorii yakqimmata muqarrar kardan mumkin boshad, onho ba hamdigar monand nomida meshavand; hangomi chunin muvofiqguzori nisbati masofai du nuqtai dilkhohi yak shakl bar masofai du nuqtai muvofiqi shakli digar ba adadi doimii k (koeffisienti monandi) barobar ast. Kunjhoi bayni khathoi muvofiqi figurahoi monand ba hamdigar barobarand (dar rasm /,V\L\S\ = /.V2A2S2 = f). Nisbati masohathoi figurahoi monand ba kvadrati koeffisienti Monandi, nisbati hajmhoyashon ba kubi koeffisient Monandi barobar ast.

Tabdili geometrii hamvori (yo fazo), ki hangomi on hamai ashkoli hamvori ba ashkoli monandi doroi hamon yak koeffisienti Monandi tabdil meyoband, tabdili monand nomida meshavand. Tabdili monand holati khususii tabdili affini ast. Majmui hamai tabdiloti monandi hamvori (fazo) guruhro tashkil medidad. Har guna tabdili monandro bo usuli pay dar pay ijro namudani gomotetiya yo harakat (khos yo gayrikhos) ijro kardan mumkin ast.

Monandi va tabdiloti monand dar modelsozi, naqshakashi va digar sodadoi tatbiki tekhiikii geometriya istifoda meshavad.