-
English
-
Russian
-
German
-
English
-
Russian
-
German
Orthopole
UK
/ˈɔːθəpəʊl/
US
/ˈɔrθəpoʊl/
Translation of "orthopole" into Russian
orthopole
Noun
UK
/ˈɔːθəpəʊl/
US
/ˈɔrθəpoʊl/
orthopole
orthopoles pl
ортополь
The orthopole of a triangle is a special point related to its altitudes.
Ортополь треугольника — это особая точка, связанная с его высотами.
Definitions
orthopole
Noun
UK
/ˈɔːθəpəʊl/
US
/ˈɔrθəpoʊl/
In Euclidean geometry, for a given triangle and a reference line, the orthopole is the unique point where the three lines drawn through the feet of the perpendiculars from each vertex to the line—each new line being perpendicular to the side opposite the corresponding vertex—concur.
By constructing the requisite perpendiculars, the orthopole of line ℓ with respect to triangle ABC is identified at their common intersection.
orthopole
Adjective
UK
/ˈɔːθəpəʊl/
US
/ˈɔrθəpoʊl/
Relating to or characteristic of an orthopole.
The orthopole point gives rise to several orthopole properties worth exploring.