The dimensions of the tennis court correspond to decimal numbers (8.23m; 23.77m etc.).

The values found at the level of the diagonals correspond to the result given by the Pythagorean theorem: a^2b2=c2,

so c= √ a^{2b2 = √ 8.23 2 23.77 2 = 25.15 (2 decimal places) for the single diagonal.}

Then, c = √ 10.97^{223.772 = 26.18 with respect to the diagonal of the double.}

It is the origin of this game that explains this. Indeed, this sport being of English origin, the unit of measurement of the dimensions corresponded to yards (whole numbers). It is the reconversion of these measurements which gives us decimal numbers in meters

(26 yards for 23.77m; 9 yards for 8.23m; 13 yards for 11.89m; 12 yards for 10.97m; 7 yards for 6.40m; 6 yards for 5.485m; 1 yard for 0.914m etc.. ).

Given these distances, the term "carré de service" is nonsense, since it is a "rectangle" that measures 6.40 m by 4.115 m. However, there might be an explanation.

If we analyze these different measurements, we can see that the value that systematically returns is 5.485m or 6 yards.

Basically, we only find this distance between the line of "squares of service" and the baseline, while this distance is found everywhere.

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Explanations:

1) If we subtract from 6.40 (distance from the net to the line of the "squares of service") the value 0.914 (height of the net in the middle), we obtain 5.485, namely 6.40 - 0.914 = 5.485.

Initially, the field was not divided in two, namely 11.89 divided by 2 equals 5.94. The value 11.89 has therefore been divided into 6.40 and 5.485. They felt that the area just behind the net was not really usable. They therefore projected the height of the net in the middle on the ground and then halved the remaining distance, which then gives 5.485 (see diagram opposite).

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2) If we add the dimension of the width of the lane (1.37m) to that of the width of the singles half-court (4.115m) we also obtain 5.485m (see diagram opposite). You would think that the dimensions were determined at the beginning in relation to the singles court, and that the corridors would have been added later.

One could therefore imagine that the tennis court was designed from four squares of 5.485m sides on each side of the net (see diagram below), from which the corridors and the area determined by the projection were added. fillet.

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