demo2.py

Created on December 09, 2021

432 Bytes

Propriété-définition 2. Le projeté 
orthogonal H d’un point M sur un 
plan P est le point de P le plus
proche de M. On dit que MH est la 
distance de M à P.


Démonstration 2 : 
Si M∈P alors MH=0 et H ets bien le
point P le plus proche de M
Si M∉P alors pour tout point M'de P,
le triangle MM'H est rectangle en H
Son hypothénuse est le coté le plus 
long ainsi MH'>MH
Donc H est le point le plus 
proche de M

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