Definition Lub incenter yog ib qho ntawm daim duab peb sab cov ntsiab lus ntawm concurrency tsim los ntawm kev sib tshuam ntawm daim duab peb sab 3 lub kaum sab xis bisectors. Yog tias daim duab peb sab yog obtuse, xws li tus ntawm daim duab hauv qab no ntawm sab laug, ces lub incenter nyob rau hauv daim duab peb sab sab hauv.
Puas yog qhov nruab nrab ib txwm nyob hauv daim duab peb sab?
Zoo li centroid, incenter ib txwm nyob hauv daim duab peb sabNws yog tsim los ntawm kev sib tshuam ntawm lub kaum sab xis bisectors ntawm peb vertices ntawm daim duab peb sab. Lub vojvoog ntawm lub voj voog yog tau los ntawm kev poob ib qho perpendicular los ntawm qhov nruab nrab mus rau ib qho ntawm daim duab peb sab ceg.
Daim duab peb sab twg muaj qhov chaw nyob hauv nws sab hauv?
Lub incenter yog Nagel taw tes ntawm daim duab peb sab nruab nrab (daim duab peb sab uas nws cov vertices yog nruab nrab ntawm ob sab) thiab yog li ntawd nyob hauv daim duab peb sab.
Lub incenter nyob rau hauv daim duab peb sab nyob qhov twg?
Lub incenter ntawm daim duab peb sab yog qhov taw qhia ntawm kev sib tshuam ntawm tag nrho peb sab hauv lub kaum sab xis ntawm daim duab peb sab. Qhov taw tes no yog qhov sib npaug ntawm ob sab ntawm daim duab peb sab, vim tias lub hauv paus axis qhov kev sib tshuam yog qhov chaw nruab nrab ntawm daim duab peb sab lub voj voog.
Qhov chaw nruab nrab ntawm daim duab peb sab obtuse nyob qhov twg piav qhia?
Lub incenter ntawm daim duab peb sab obtuse yog inside ntawm daim duab peb sab. Qhov nruab nrab ntawm daim duab peb sab yog ib txwm nyob rau hauv daim duab peb sab, thiab nws txav raws kab nkhaus mus rau sab.