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Rytz's construction : ウィキペディア英語版 | Rytz's construction
Using the Rytz’s axis construction, it is possible to find the major and minor axis and the vertices of an ellipse, starting from two conjugated diameters. Rytz’s construction is a classical construction of Euclidean geometry, in which only compass and ruler are allowed as aids. The design is named after its inventor David Rytz of Brugg, 1801–1868. == Problem statement ==
Figure 1 shows the given and required quantities. The two conjugate diameters , and (blue) are given, and the axes and of the ellipse (red) are required. For clarity, the corresponding ellipse is also shown, however, it is neither given, nor is it a direct result of Rytz's construction. With ruler and compass only a few points of the ellipse can constructed, but not the entire ellipse. Methods of drawing an ellipse usually require the axes of the ellipse to be known.
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