/></span>, such that the side

{"type":"standard","title":"Maxwell's theorem (geometry)","displaytitle":"Maxwell's theorem (geometry)","namespace":{"id":0,"text":""},"wikibase_item":"Q24957014","titles":{"canonical":"Maxwell's_theorem_(geometry)","normalized":"Maxwell's theorem (geometry)","display":"Maxwell's theorem (geometry)"},"pageid":61641996,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Maxwell_theorem2.svg/330px-Maxwell_theorem2.svg.png","width":320,"height":402},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Maxwell_theorem2.svg/784px-Maxwell_theorem2.svg.png","width":784,"height":985},"lang":"en","dir":"ltr","revision":"1238779803","tid":"2ed379ac-534c-11ef-bb59-38e2889bfd78","timestamp":"2024-08-05T17:00:14Z","description":"Given a triangle and a point, constructs a second triangle with a special point","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Maxwell's_theorem_(geometry)","revisions":"https://en.wikipedia.org/wiki/Maxwell's_theorem_(geometry)?action=history","edit":"https://en.wikipedia.org/wiki/Maxwell's_theorem_(geometry)?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Maxwell's_theorem_(geometry)"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Maxwell's_theorem_(geometry)","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Maxwell's_theorem_(geometry)","edit":"https://en.m.wikipedia.org/wiki/Maxwell's_theorem_(geometry)?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Maxwell's_theorem_(geometry)"}},"extract":"Maxwell's theorem is the following statement about triangles in the plane.For a given triangle and a point not on the sides of that triangle construct a second triangle , such that the side is parallel to the line segment , the side is parallel to the line segment and the side is parallel to the line segment . Then the parallel to through , the parallel to through and the parallel to through intersect in a common point .","extract_html":"

Maxwell's theorem is the following statement about triangles in the plane.

For a given triangle $\text{[math]}$ and a point $\text{[math]}$ not on the sides of that triangle construct a second triangle $\text{[math]}$ , such that the side $\text{[math]}$ is parallel to the line segment $\text{[math]}$ , the side $\text{[math]}$ is parallel to the line segment $\text{[math]}$ and the side $\text{[math]}$ is parallel to the line segment $\text{[math]}$ . Then the parallel to $\text{[math]}$ through $\text{[math]}$ , the parallel to $\text{[math]}$ through $\text{[math]}$ and the parallel to $\text{[math]}$ through $\text{[math]}$ intersect in a common point $\text{[math]}$ .

"}

{"fact":"A cat will tremble or shiver when it is extreme pain.","length":53}

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