Timeline for The 4th vertex of a triangle?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 17, 2021 at 3:25 | history | edited | Blue | CC BY-SA 4.0 |
Added Kimberling reference
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| Aug 16, 2021 at 14:38 | comment | added | Peter Taylor | @A.Zakharov, aha, yes. Kimberling's Encyclopedia says "X(1309) lies on the circumcircle and these lines: 4,953", which would indeed make it W. | |
| Aug 16, 2021 at 14:24 | comment | added | A.Zakharov | @PeterTaylor Sherman's line is the perpendicular to the line X(1309)X(953) drawn through the midpoint of the segment X(4)X(953). The "other" intersection with the nine-point circle is the midpoint of the segment X(1309)X(4). So X(1309) is the point W, indeed. And finally X(953) is the Miquel point of the sidelines of ABC and the Sherman line. (Angel Montesdeoca, July 24, 2019) What will be the Miquel point of the quadrilateral ABCX(1309) then?.. | |
| Aug 16, 2021 at 13:25 | comment | added | Peter Taylor | @A.Zakharov, are you sure? My reading of the Yiu paper you link is that X(953) is "the other endpoint of the chord determined by $\overleftrightarrow{WH}$". | |
| Aug 16, 2021 at 13:06 | vote | accept | A.Zakharov | ||
| Aug 16, 2021 at 9:18 | history | edited | Blue | CC BY-SA 4.0 |
added 216 characters in body
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| Aug 15, 2021 at 17:24 | history | edited | Blue | CC BY-SA 4.0 |
added 24 characters in body
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| Aug 15, 2021 at 7:19 | history | answered | Blue | CC BY-SA 4.0 |