20.500.12556/DKUM-14905 SEARBYJEV IZREK SEARBY'S THEOREM V diplomskem delu je predstavljen Searbyjev izrek o sklenjeni verigi krožnic, ki se zaporedoma dotikajo dveh od danih treh disjunktnih krogov. Poseben primer Searbyjevega izreka je dobro poznan Apolonijev tangentni problem. Vključene so tudi povezave z Apolonijevo premico, Mongeovo krožnico ter Pascalovim in Brianchonovim izrekom. This thesis discusses Searby's theorem on closed chain of circles, all of which are tangent to two of three given disjoint circles. Particular case of Searby's theorem is well known Problem of Apollonius. Thesis also includes connections with Apollonius Axis, Monge Circle and theorems of Pascal and Brianchon. Apolonijev problem homogeno tangentne krožnice os raztega treh krožnic Apolonijeva premica Mongeova krožnica Problem of Apollonius homogeneously tangent circles axis of similitude Apollonius Axis Monge Circle true true false [A. Pušnik] Slovenski jezik Angleški jezik Diplomsko delo 2010-07-21 18:12:34 2010-09-06 14:20:23 2022-04-12 22:25:25 2023-12-18 03:22:01 2010 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 17839624 URN:SI:UM:DK:JNMCJUQJ UNI_Pusnik_Ana_2010.pdf UNI_Pusnik_Ana_2010.pdf 1 59788EC66D222A696C826636ADD61C2A 3b460507430ef82c9272a926b39f762fe02f57f10b2b5efc9adac03417af7f63 448f35d6-7c04-11eb-bb7a-00155d0001ca 20.500.12556/dkum/50272c75-8834-4275-86e6-7b63c83a8f57 https://dk.um.si/Dokument.php?lang=slv&id=16170 Fakulteta za naravoslovje in matematiko 0 0 0