Talk:Polar circle (geometry)
Latest comment: 7 years ago by Loraof in topic Deleting incorrect image
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Deleting incorrect image
edit@User:Rocchini: I'm reverting the following section, with no source, that was put in last June:
- ==Construction==
- The polar circle can be geometrically constructed as follows.[citation needed] Pick one of the vertices of the triangle, say A. Let Z be the point where the altitude from A intersects the opposing side BC. Now draw the line through the orthocenter perpendicular to the altitude from A. There will be two points P on this line with the property that APZ is a right angle. The polar circle is the circle about the orthocenter of the triangle that passes through these two points.
This shows an acute triangle, but as the article and its very reliable source point out, the polar circle only has a real existence for obtuse triangles. The radius of the circle in the image does not obey the cosine formula given in the lead and its source. Loraof (talk) 21:33, 6 February 2017 (UTC)