20.500.12556/DKUM-82363 Tretji thébaultov problem magistrsko delo Thébault's problem iii na študijskem programu 2. stopnje Matematika Tretji Thébaultov izrek govori o trikotniku in treh posebnih krožnicah, katerih središča so kolinearna, veljata pa tudi dve razmerji med dolžinami daljic in tangensi kotov. Do te ugotovitve je prišel Victor Thebault, francoski matematik. Samega izreka pa ni dokazal on. V magistrski nalogi sta predstavljena dva različna dokaza tega izreka. Za konec so predstavljene še nekatere z izrekom povezane zanimivosti. Thébault's third theorem talks about a triangle and three special circles whose centres are collinear, and there are two relations between the lengths of the lines and the tangents of the angles. This conclusion was discovered by Victor Thebault, a French mathematician. However, he did not prove the theorem himself. This thesis presents two proofs of the theorem. Finally, some further curiosities in this context are presented. Geometrija trikotnika Thebaultov izrek Paposov izrek posplošeni Ptolomejev izrek Miquelov izrek ortogonalne krožnice potenčne premice. Triangle geometry Thebault's theorem Papos theorem general Ptolemy theorem Miquel theorem ortogonal circles radical axes. true true false [M. Vohar] Slovenski jezik Angleški jezik Magistrsko delo/naloga 2022-08-17 12:26:22 2022-10-28 11:18:32 2022-10-29 03:08:59 0000-00-00 00:00:00 2022 0 Maribor 0 Maribor 60 f. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 514.112.3(043.2) 127479043 EMAG_Vohar_Matej_2022.pdf EMAG_Vohar_Matej_2022.pdf 1 E05E55F8332AFA54A2E32FA369514934 50846aabc889178a7aebd2cee432d486777d3792e10624c53886653cdaebb71a b3e39263-1e1b-11ed-a1bf-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=160157 Fakulteta za naravoslovje in matematiko 0 0 0