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Abstand e eines Punktes R von einer Ebene E
Wenn
bzw.
wie oben in der Hesseschen Normalenform gegeben ist, gilt für den Abstand:
![[image]](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAaCAIAAADnr5E1AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAOJJREFUOE/lVMERgyAQ1NSiPphUgBVk/OSVErAd/aaKvLCDVJDJI9gL4Q6EA4ljfpkJLzn39nYXtNRaF7vXYTcSgL+DLoxLu6TYsMAHBZiA1loN2ODeOBJbFBK31GXVIPjSVWRK1TFeiPPJlrwS4OaBhtTDI+VWz7uhZvVn/QQ93a4Gd2wWHfPYtuMct/oxiQ7cOnMes5lgnA7NxOoIZBB/UOX0LLrn1wPSCxZrxjOG6UmuJqcxOu40DzvZpFL2E00F2/PnAtLjVDATC450KLmuwa0y1waw+ZUEXv7Fd/ndH+INqzw7e6meB1cAAAAASUVORK5CYII= "embedded image (png)"){kind=small}
bzw. ![[image]](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAAaCAIAAAAIbfoLAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAAOlJREFUOE/tkr8ZwiAQxcFZ1MLPCcg+0DqEnU2yhr2wgRPksxB2wfsD5IhNKiuv4/G4vPtddM5ZbavdNhu6/tYfEUiTG3SpwYUQnB6mRIuCxbaKowHFWB9J4qNS1tNRWL0VOl32SrOWjiM35CKrqVK1srN8qjhJa85cYcXXE+TTQfxo6XEH7XzcF61Y03sGYZHhEG6X/nW3gvnNVNDorjNGkq9lLsiKU0VvAZjHpDL8AqtSLFxXMzFXbiIhNfwdEfX9ellUz04R5l5bsy/jcFcA3RJgHrmktjscCy/5x6AymHwVHf0aR9tWH8YTbGvgXEVRAAAAAElFTkSuQmCC "embedded image (png)"){kind=small}
wie oben in der Hesseschen Normalenform gegeben ist, gilt für den Abstand: bzw. wie oben in der Hesseschen Normalenform gegeben ist, gilt für den Abstand:![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}