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- W1978299293 abstract "and so hv = 2hm. However, we should have hv > 2hm, as we showed before in FIGURE 1, which means that at least one of the above two equations is false. Hence, Euclidean area measure is not applicable in noneuclidean geometry. How does one prove that (base x altitude)/2 is well-defined in Euclidean geometry, and what accounts for the difference in noneuclidean geometry? As is often the case in Euclidean geometry, one verifies the equation between two products of segments by transforming it into one between two quotients and then applies a proportionality theorem [3, s 20]. And that is exactly what does not work in noneuclidean geometry; in FIGURE 1" @default.
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- W1978299293 modified "2023-10-18" @default.
- W1978299293 title "The Slope Mean and Its Invariance Properties" @default.
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