Dovetail Theorem: In triangle ABC, AD, BE, CF intersect at the same point O, there is
Dovetail theorem
discuss
Dovetail Theorem: In triangle ABC, AD, BE, CF intersect at the same point O, there is
S AOB: S AOC = BD: CD
S AOB: S COB = AE: CE
S BOC: S AOC = BF: AF
So the picture is named after the dovetail. It is one of the five models. It is a theorem about a plane triangle, commonly known as a dovetail theorem.
- Name
- Triangle theorem
- Name
- Dovetail theorem
- nickname
- Dovetail theorem
- expression
- BF: FC = S BFD: S FDC = S ABD: S ADC
- Applied discipline
- mathematics
- Scope of application
- Science, astronomy
- Scope of application
- Flat triangle graphic
discoverer
The dovetail was justified in 1785 by British mathematician Yanmalice Kanon (1753-1821).
