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Tina (Diskussion | bidrag) | TemplateBot (Diskussion | bidrag) | ||
Rad 41: | Rad 41: | ||
<deduct> | <deduct> | ||
\dfrac{c + d}{c} = \dfrac{a + b}{a} | \dfrac{c + d}{c} = \dfrac{a + b}{a} | ||
− | \ | + | \CrossMult |
a(c + d) = c (a + b) | a(c + d) = c (a + b) | ||
− | \ | + | \Distr{a\, \&\, c} |
ac + ad = ac + cb | ac + ad = ac + cb | ||
− | \ | + | \SubEqn{ac} |
ad = cb | ad = cb | ||
− | \ | + | \DivEqn{b} |
\dfrac{ad}{b} = c | \dfrac{ad}{b} = c | ||
− | \ | + | \DivEqn{d} |
\dfrac{a}{b} = \dfrac{c}{d} | \dfrac{a}{b} = \dfrac{c}{d} | ||
</deduct> | </deduct> |
Korsmultiplicera
Multiplicera in a&c
VL−ac=HL−ac
VL/b=HL/b
VL/d=HL/d
Detta är transversalsatsen.