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Dissection and Reassembly of Parallelogram of Given Base and Altitude

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This Demonstration shows Wojtowicz's dissection of two parallelograms and with the same base and the same altitude.

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Reference

[1] A. McFarland, J. McFarland and J. T. Smith, eds., Alfred Tarski, Early Work in Poland: Geometry and Teaching, New York: Birkhäuser, 2014.

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Contributed by: Izidor Hafner (April 2017)
Open content licensed under CC BY-NC-SA

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The generalization of the caption is a theorem that two parallelograms of the same base and the same altitude can be decomposed into parts, where , is the altitude of the common part of the parallelograms (the red triangle) and .

Here denotes the least integer not less than the real number (the ceiling function) [1, pp. 127, 128].

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