Herons formel for areal af trekantS\303\246tning 34 side 179 i bog B1, 1. udgaveS\303\246tning 37 side 192 i bog B1, 2. udgaveAreal af \316\224ABC er givet ved Herons formel:
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 , hvor 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 er den halve omkreds.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==Den halve omkreds kaldes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= :Pkkic0c2Ii1JIipHJSpwcm90ZWN0ZWRHNiQsKEkiYUdGJCIiIkkiYkdGJEYrSSJjR0YkRisjRisiIiM=PkkmSGVyb25HNiItSSVzcXJ0R0YkNiMqKkkic0dGJCIiIiwmRilGKkkiYUdGJCEiIkYqLCZGKUYqSSJiR0YkRi1GKiwmRilGKkkiY0dGJEYtRio=Pythagoras' s\303\246tning anvendt p\303\245 de 2 trekanter, som opst\303\245r n\303\245r h\303\270jden LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= tegnes fra vinkel 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