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Rytz's construction
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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 d_1', and d_2' (blue) are given, and the axes a and b of the ellipse (red) are required. For clarity, the corresponding ellipse e 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.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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