▁C W ▁& ▁W iers ma ▁DJ . ▁( 2 0 1 0 ). ▁Atlas ▁of ▁My lon ites ▁– ▁and ▁related ▁Micro struct ures . ▁Springer ▁Verlag . ▁ ▁Vern on ▁R H . ▁( 2 0 0 4 ). ▁A ▁practical ▁guide ▁to ▁rock ▁micro structure . ▁Cambridge ▁University ▁Press . ▁▁▁▁ ▁Category : Struct ural ▁ge ology ▁Category : Ge ological ▁processes <0x0A> </s> ▁In ▁geometry , ▁the ▁Ste iner ▁in el lipse , ▁mid point ▁in el lipse , ▁or ▁mid point ▁el lipse ▁of ▁a ▁triangle ▁is ▁the ▁unique ▁el lipse ▁ins cribed ▁in ▁the ▁triangle ▁and ▁tang ent ▁to ▁the ▁sides ▁at ▁their ▁mid points . ▁It ▁is ▁an ▁example ▁of ▁an ▁in el lipse . ▁By ▁comparison ▁the ▁ins cribed ▁circle ▁and ▁Mand art ▁in el lipse ▁of ▁a ▁triangle ▁are ▁other ▁incon ics ▁that ▁are ▁tang ent ▁to ▁the ▁sides , ▁but ▁not ▁at ▁the ▁mid points ▁unless ▁the ▁triangle ▁is ▁equ il ater al . ▁The ▁Ste iner ▁in el lipse ▁is ▁attributed ▁by ▁D ör rie ▁to ▁Jakob ▁Ste iner , ▁and ▁a ▁proof ▁of ▁its ▁uniqu eness ▁is ▁given ▁by ▁Kal man . ▁ ▁The ▁Ste iner ▁in el lipse ▁contrast s ▁with ▁the ▁Ste iner ▁circum el lipse , ▁also ▁called ▁simply ▁the ▁Ste iner ▁el lipse , ▁which ▁is ▁the ▁unique ▁el lipse ▁that ▁touch es ▁a ▁given ▁triangle ▁at ▁its ▁vertices ▁and ▁whose ▁center ▁is ▁the ▁triangle ' s ▁cent roid . ▁ ▁Definition ▁and ▁properties ▁ ▁Definition ▁An