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Both the same thing? Not quite! With the T430 you can measure both simultaneously. You can also measure the flatness and level of separated objects. Two or more separated tables for example. Flatness
The tolerance zone is defined by two parallel planes above and below the best fit plane through the measured data. The tolerance planes are separated by the tolerance t. As with the line above, if we have measured 20 points. The best fit plane is the plane where the sum of the errors (hills and valleys) is a minimum.
Don’t forget: The flatness of a plane makes no comment about how level (wrt gravity) a plane is. Levelling
The Tolerance Zone is here, like flatness, defined by two parallel planes above and below the data. The difference here is that the planes must be orthogonal (at right angles) to gravity. In plain English: These measured points are described as level or “in water” when they lie within a given tolerance (t) to a supposed waterline drawn through the average height of the points. We must first distinguish between flatness and level.

In mathematics, the flatness of a surface is the degree to which it approximates a mathematical plane. We call this plane level if it is on average orthogonal (at right angles) to gravity. (Sometimes called “in water”). So we only talk about something being level if it is also very flat.

To measure flatness we require a reference plane. To measure level we require a reference to gravity. Typically we measure a matrix of points or angles and interpolate between these discrete measurements. 