Known result. The altitudes are bisectors of the orthic triangle. Therefore it is application of the following I have posted to Hyacinthos Let ABC be a triangle. Denote Ab, Ac = the orthogonal projections of A on BI, CI, resp. La = the Euler line of AAbAc Similarly Lb, Lc La, Lb, Lc concur at the Feuerbach point of ABC. αντρέας χατζηπολάκης
X(1112) is Feuerbach point of orthic triangle for acute ABC.
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ReplyDeleteKnown result.
ReplyDeleteThe altitudes are bisectors of the orthic triangle.
Therefore it is application of the following I have posted to Hyacinthos
Let ABC be a triangle.
Denote
Ab, Ac = the orthogonal projections of A on BI, CI, resp.
La = the Euler line of AAbAc
Similarly Lb, Lc
La, Lb, Lc concur at the Feuerbach point of ABC. αντρέας χατζηπολάκης