Showing posts with label Symmedian point. Show all posts
Showing posts with label Symmedian point. Show all posts
Sunday, March 16, 2025
Wednesday, March 12, 2025
Monday, February 24, 2025
Tuesday, May 28, 2024
Sunday, January 28, 2024
Thursday, January 25, 2024
Sunday, July 16, 2023
1955. A Construction For the Perspector Of 2nd Lemoine Circle
Let K=X(6)-Symmedian point of ABC. Antiparallel from K to BC intersect the AB, AC at Ac, Ab resp.
Define Ba, Bc, Ca, Cb cyclically.
KA: Antipode of K respect to circle (KBaCa). Define KB, KC cyclically.
* ABC and KAKB,KC are perspective triangles. Perspector is X(3527) = ISOGONAL CONJUGATE OF X(631)=perspector of 2nd Lemoine circle
Sunday, April 30, 2023
Friday, March 10, 2023
Wednesday, March 8, 2023
Friday, March 3, 2023
Saturday, February 18, 2023
Monday, January 23, 2023
Sunday, January 1, 2023
Sunday, June 26, 2022
1875. Same Centers
1. ) Let
and
be the orthocenter and Nagel's point of
. Let
be the projections of
on
.
2.) Let
be the symmedian point of
. Let
be the projections of
on perpendicular bisectors of 
**
and
have same centroid.
**
Saturday, May 28, 2022
Sunday, May 15, 2022
Monday, March 21, 2022
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