Trapeets

En Trapeets (faan ualgreks τράπεζα trapeza „boosel“, „sjauerfut“) as en sjauerhuk mä tau sidjen, diar paraleel tu enööder lei (a an c).

Tekst üüb Öömrang

Trapeets mä:
• huken A, B, C, D
• sidjen a, b, c, d mä a||c
• winkler α, β, γ, δ
• diagonaalen e, f
• skeerponkt S
• madelliinje m mä m=(a+c):2
• hööchde h

Bereegnangen

Bereegnangsformeln
Areal	$A={\frac {(a+c)\cdot h}{2}}=m\cdot h$
Hööchde	$h={\frac {2}{\|a-c\|}}\cdot {\sqrt {s\cdot (s-\|a-c\|)\cdot (s-b)\cdot (s-d)}}$ (för $a\neq c$ ), mä $s={\frac {\|a-c\|+b+d}{2}}$
	$h={\frac {2\cdot A}{a+c}}$
	$h=b\cdot \sin(\beta )=b\cdot \sin(\gamma )=d\cdot \sin(\delta )=d\cdot \sin(\alpha )$
Amfaadang	$U=a+b+c+d$
Lengden faan Diagonaalen	$e={\sqrt {\frac {a\cdot d^{2}+a^{2}\cdot c-a\cdot c^{2}-c\cdot b^{2}}{a-c}}}$ (för $a\neq c$ )
Lengden faan Diagonaalen	$f={\sqrt {\frac {a\cdot b^{2}+a^{2}\cdot c-a\cdot c^{2}-c\cdot d^{2}}{a-c}}}$ (för $a\neq c$ )
Banenwinkel	$\alpha +\delta =\beta +\gamma =180^{\circ }$

Luke uk diar

Commonskategorii: Trapeets – Saamlang faan bilen of filmer

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.