List K Harmonic Conjugates. Points available at the Kimberling's Encyclopedia ETC. The ETC version: The 8998 points version of 2015. The "Discoverer" database version: October 2013. Last update: 2016-03-21- The
Harmonic Conjugate of the X(01) Incenter with respect to the X(02)
Centroid and the X(08) Nagel Point (the X(01) Incenter is not between
the X(02) Centroid and X(08) Nagel Point) is the X(10).
- The
Harmonic Conjugate of the X(01) Incenter with respect to the X(02)
Centroid and the X(10) Spieker Center (the X(01) Incenter is not between
the X(02) Centroid and X(10) Spieker Center) is the X(1698).
- The
Harmonic Conjugate of the X(01) Incenter with respect to the X(05)
Nine-Point Center and the X(11) Feuerbach Point (the X(01) Incenter is
between the X(05) Nine-Point Center and X(11) Feuerbach Point) is the
X(7741).
- The Harmonic Conjugate of the X(01) Incenter with
respect to the X(05) Nine-Point Center and the X(12) Feuerbach
Perspector (the X(01) Incenter is not between the X(05) Nine-Point
Center and X(12) Feuerbach Perspector) is the X(7951).
- The
Harmonic Conjugate of the X(01) Incenter with respect to the X(06)
Symmedian Point and the X(09) Mittenpunkt (the X(01) Incenter is between
the X(06) Symmedian Point and X(09) Mittenpunkt) is the X(1743).
- The
Harmonic Conjugate of the X(01) Incenter with respect to the X(07)
Gergonne Point and the X(20) de Longchamps Point (the X(01) Incenter is
between the X(07) Gergonne Point and X(20) de Longchamps Point) is the
X(4292).
- The Harmonic Conjugate of the X(01) Incenter with
respect to the X(08) Nagel Point and the X(10) Spieker Center (the X(01)
Incenter is not between the X(08) Nagel Point and X(10) Spieker Center)
is the X(3679).
- The Harmonic Conjugate of the X(01) Incenter
with respect to the X(11) Feuerbach Point and the X(12) Feuerbach
Perspector (the X(01) Incenter is between the X(11) Feuerbach Point and
X(12) Feuerbach Perspector) is the X(5).
- The Harmonic Conjugate
of the X(02) Centroid with respect to the X(01) Incenter and the X(08)
Nagel Point (the X(02) Centroid is between the X(01) Incenter and X(08)
Nagel Point) is the X(145).
- The Harmonic Conjugate of the X(02)
Centroid with respect to the X(01) Incenter and the X(10) Spieker Center
(the X(02) Centroid is between the X(01) Incenter and X(10) Spieker
Center) is the X(8).
- The Harmonic Conjugate of the X(02)
Centroid with respect to the X(03) Circumcenter and the X(04)
Orthocenter (the X(02) Centroid is between the X(03) Circumcenter and
X(04) Orthocenter) is the X(20).
- The Harmonic Conjugate of the
X(02) Centroid with respect to the X(03) Circumcenter and the X(05)
Nine-Point Center (the X(02) Centroid is between the X(03) Circumcenter
and X(05) Nine-Point Center) is the X(4).
- The Harmonic Conjugate
of the X(02) Centroid with respect to the X(03) Circumcenter and the
X(20) de Longchamps Point (the X(02) Centroid is not between the X(03)
Circumcenter and X(20) de Longchamps Point) is the X(3522).
- The
Harmonic Conjugate of the X(02) Centroid with respect to the X(04)
Orthocenter and the X(05) Nine-Point Center (the X(02) Centroid is not
between the X(04) Orthocenter and X(05) Nine-Point Center) is the
X(3091).
- The Harmonic Conjugate of the X(02) Centroid with
respect to the X(04) Orthocenter and the X(20) de Longchamps Point (the
X(02) Centroid is between the X(04) Orthocenter and X(20) de Longchamps
Point) is the X(3146).
- The Harmonic Conjugate of the X(02)
Centroid with respect to the X(05) Nine-Point Center and the X(20) de
Longchamps Point (the X(02) Centroid is between the X(05) Nine-Point
Center and X(20) de Longchamps Point) is the X(3832).
- The
Harmonic Conjugate of the X(02) Centroid with respect to the X(07)
Gergonne Point and the X(09) Mittenpunkt (the X(02) Centroid is between
the X(07) Gergonne Point and X(09) Mittenpunkt) is the X(144).
- The
Harmonic Conjugate of the X(02) Centroid with respect to the X(08)
Nagel Point and the X(10) Spieker Center (the X(02) Centroid is not
between the X(08) Nagel Point and X(10) Spieker Center) is the X(3617).
- The
Harmonic Conjugate of the X(03) Circumcenter with respect to the X(02)
Centroid and the X(04) Orthocenter (the X(03) Circumcenter is not
between the X(02) Centroid and X(04) Orthocenter) is the X(5).
- The
Harmonic Conjugate of the X(03) Circumcenter with respect to the X(02)
Centroid and the X(05) Nine-Point Center (the X(03) Circumcenter is not
between the X(02) Centroid and X(05) Nine-Point Center) is the X(1656).
- The
Harmonic Conjugate of the X(03) Circumcenter with respect to the X(02)
Centroid and the X(20) de Longchamps Point (the X(03) Circumcenter is
between the X(02) Centroid and X(20) de Longchamps Point) is the X(4).
- The
Harmonic Conjugate of the X(03) Circumcenter with respect to the X(04)
Orthocenter and the X(05) Nine-Point Center (the X(03) Circumcenter is
not between the X(04) Orthocenter and X(05) Nine-Point Center) is the
X(381).
- The Harmonic Conjugate of the X(03) Circumcenter with
respect to the X(05) Nine-Point Center and the X(20) de Longchamps Point
(the X(03) Circumcenter is between the X(05) Nine-Point Center and
X(20) de Longchamps Point) is the X(382).
- The Harmonic Conjugate
of the X(03) Circumcenter with respect to the X(15) First Isodynamic
Point and the X(16) Second Isodynamic Point (the X(03) Circumcenter is
not between the X(15) First Isodynamic Point and X(16) Second Isodynamic
Point) is the X(6).
- The Harmonic Conjugate of the X(04)
Orthocenter with respect to the X(02) Centroid and the X(03)
Circumcenter (the X(04) Orthocenter is not between the X(02) Centroid
and X(03) Circumcenter) is the X(631).
- The Harmonic Conjugate of
the X(04) Orthocenter with respect to the X(02) Centroid and the X(05)
Nine-Point Center (the X(04) Orthocenter is not between the X(02)
Centroid and X(05) Nine-Point Center) is the X(3090).
- The
Harmonic Conjugate of the X(04) Orthocenter with respect to the X(02)
Centroid and the X(20) de Longchamps Point (the X(04) Orthocenter is not
between the X(02) Centroid and X(20) de Longchamps Point) is the X(3).
- The
Harmonic Conjugate of the X(04) Orthocenter with respect to the X(03)
Circumcenter and the X(05) Nine-Point Center (the X(04) Orthocenter is
not between the X(03) Circumcenter and X(05) Nine-Point Center) is the
X(2).
- The Harmonic Conjugate of the X(04) Orthocenter with
respect to the X(03) Circumcenter and the X(20) de Longchamps Point (the
X(04) Orthocenter is not between the X(03) Circumcenter and X(20) de
Longchamps Point) is the X(376).
- The Harmonic Conjugate of the
X(04) Orthocenter with respect to the X(05) Nine-Point Center and the
X(20) de Longchamps Point (the X(04) Orthocenter is not between the
X(05) Nine-Point Center and X(20) de Longchamps Point) is the X(631).
- The
Harmonic Conjugate of the X(05) Nine-Point Center with respect to the
X(01) Incenter and the X(11) Feuerbach Point (the X(05) Nine-Point
Center is not between the X(01) Incenter and X(11) Feuerbach Point) is
the X(496).
- The Harmonic Conjugate of the X(05) Nine-Point
Center with respect to the X(01) Incenter and the X(12) Feuerbach
Perspector (the X(05) Nine-Point Center is not between the X(01)
Incenter and X(12) Feuerbach Perspector) is the X(495).
- The
Harmonic Conjugate of the X(05) Nine-Point Center with respect to the
X(02) Centroid and the X(03) Circumcenter (the X(05) Nine-Point Center
is not between the X(02) Centroid and X(03) Circumcenter) is the X(140).
- The
Harmonic Conjugate of the X(05) Nine-Point Center with respect to the
X(02) Centroid and the X(04) Orthocenter (the X(05) Nine-Point Center is
between the X(02) Centroid and X(04) Orthocenter) is the X(3).
- The
Harmonic Conjugate of the X(05) Nine-Point Center with respect to the
X(02) Centroid and the X(20) de Longchamps Point (the X(05) Nine-Point
Center is not between the X(02) Centroid and X(20) de Longchamps Point)
is the X(631).
- The Harmonic Conjugate of the X(05) Nine-Point
Center with respect to the X(03) Circumcenter and the X(20) de
Longchamps Point (the X(05) Nine-Point Center is not between the X(03)
Circumcenter and X(20) de Longchamps Point) is the X(548).
- The
Harmonic Conjugate of the X(05) Nine-Point Center with respect to the
X(04) Orthocenter and the X(20) de Longchamps Point (the X(05)
Nine-Point Center is between the X(04) Orthocenter and X(20) de
Longchamps Point) is the X(382).
- The Harmonic Conjugate of the
X(05) Nine-Point Center with respect to the X(11) Feuerbach Point and
the X(12) Feuerbach Perspector (the X(05) Nine-Point Center is not
between the X(11) Feuerbach Point and X(12) Feuerbach Perspector) is the
X(1).
- The Harmonic Conjugate of the X(05) Nine-Point Center
with respect to the X(13) Outer Fermat Point and the X(18) Inner
Napoleon Point (the X(05) Nine-Point Center is not between the X(13)
Outer Fermat Point and X(18) Inner Napoleon Point) is the X(62).
- The
Harmonic Conjugate of the X(05) Nine-Point Center with respect to the
X(14) Inner Fermat Point and the X(17) Outer Napoleon Point (the X(05)
Nine-Point Center is not between the X(14) Inner Fermat Point and X(17)
Outer Napoleon Point) is the X(61).
- The Harmonic Conjugate of
the X(06) Symmedian Point with respect to the X(01) Incenter and the
X(09) Mittenpunkt (the X(06) Symmedian Point is not between the X(01)
Incenter and X(09) Mittenpunkt) is the X(37).
- The Harmonic
Conjugate of the X(06) Symmedian Point with respect to the X(13) Outer
Fermat Point and the X(14) Inner Fermat Point (the X(06) Symmedian Point
is between the X(13) Outer Fermat Point and X(14) Inner Fermat Point)
is the X(381).
- The Harmonic Conjugate of the X(06) Symmedian
Point with respect to the X(15) First Isodynamic Point and the X(16)
Second Isodynamic Point (the X(06) Symmedian Point is between the X(15)
First Isodynamic Point and X(16) Second Isodynamic Point) is the X(3).
- The
Harmonic Conjugate of the X(06) Symmedian Point with respect to the
X(17) Outer Napoleon Point and the X(18) Inner Napoleon Point (the X(06)
Symmedian Point is between the X(17) Outer Napoleon Point and X(18)
Inner Napoleon Point) is the X(1656).
- The Harmonic Conjugate of
the X(07) Gergonne Point with respect to the X(01) Incenter and the
X(20) de Longchamps Point (the X(07) Gergonne Point is not between the
X(01) Incenter and X(20) de Longchamps Point) is the X(4313).
- The
Harmonic Conjugate of the X(08) Nagel Point with respect to the X(01)
Incenter and the X(02) Centroid (the X(08) Nagel Point is not between
the X(01) Incenter and X(02) Centroid) is the X(3616).
- The
Harmonic Conjugate of the X(08) Nagel Point with respect to the X(01)
Incenter and the X(10) Spieker Center (the X(08) Nagel Point is not
between the X(01) Incenter and X(10) Spieker Center) is the X(2).
- The
Harmonic Conjugate of the X(08) Nagel Point with respect to the X(02)
Centroid and the X(10) Spieker Center (the X(08) Nagel Point is not
between the X(02) Centroid and X(10) Spieker Center) is the X(667).
- The
Harmonic Conjugate of the X(09) Mittenpunkt with respect to the X(01)
Incenter and the X(06) Symmedian Point (the X(09) Mittenpunkt is not
between the X(01) Incenter and X(06) Symmedian Point) is the X(1449).
- The
Harmonic Conjugate of the X(09) Mittenpunkt with respect to the X(02)
Centroid and the X(07) Gergonne Point (the X(09) Mittenpunkt is not
between the X(02) Centroid and X(07) Gergonne Point) is the X(142).
- The
Harmonic Conjugate of the X(10) Spieker Center with respect to the
X(01) Incenter and the X(02) Centroid (the X(10) Spieker Center is not
between the X(01) Incenter and X(02) Centroid) is the X(1125).
- The
Harmonic Conjugate of the X(10) Spieker Center with respect to the
X(02) Centroid and the X(08) Nagel Point (the X(10) Spieker Center is
between the X(02) Centroid and X(08) Nagel Point) is the X(1).
- The
Harmonic Conjugate of the X(11) Feuerbach Point with respect to the
X(01) Incenter and the X(05) Nine-Point Center (the X(11) Feuerbach
Point is not between the X(01) Incenter and X(05) Nine-Point Center) is
the X(12).
- The Harmonic Conjugate of the X(11) Feuerbach Point
with respect to the X(05) Nine-Point Center and the X(12) Feuerbach
Perspector (the X(11) Feuerbach Point is not between the X(05)
Nine-Point Center and X(12) Feuerbach Perspector) is the X(3614).
- The
Harmonic Conjugate of the X(12) Feuerbach Perspector with respect to
the X(01) Incenter and the X(05) Nine-Point Center (the X(12) Feuerbach
Perspector is between the X(01) Incenter and X(05) Nine-Point Center) is
the X(11).
- The Harmonic Conjugate of the X(12) Feuerbach
Perspector with respect to the X(05) Nine-Point Center and the X(11)
Feuerbach Point (the X(12) Feuerbach Perspector is between the X(05)
Nine-Point Center and X(11) Feuerbach Point) is the X(7173).
- The
Harmonic Conjugate of the X(15) First Isodynamic Point with respect to
the X(03) Circumcenter and the X(06) Symmedian Point (the X(15) First
Isodynamic Point is between the X(03) Circumcenter and X(06) Symmedian
Point) is the X(16).
- The Harmonic Conjugate of the X(15) First
Isodynamic Point with respect to the X(06) Symmedian Point and the X(16)
Second Isodynamic Point (the X(15) First Isodynamic Point is not
between the X(06) Symmedian Point and X(16) Second Isodynamic Point) is
the X(62).
- The Harmonic Conjugate of the X(16) Second Isodynamic
Point with respect to the X(03) Circumcenter and the X(06) Symmedian
Point (the X(16) Second Isodynamic Point is not between the X(03)
Circumcenter and X(06) Symmedian Point) is the X(15).
- The
Harmonic Conjugate of the X(16) Second Isodynamic Point with respect to
the X(06) Symmedian Point and the X(15) First Isodynamic Point (the
X(16) Second Isodynamic Point is not between the X(06) Symmedian Point
and X(15) First Isodynamic Point) is the X(61).
- The Harmonic
Conjugate of the X(20) de Longchamps Point with respect to the X(02)
Centroid and the X(03) Circumcenter (the X(20) de Longchamps Point is
not between the X(02) Centroid and X(03) Circumcenter) is the X(3523).
- The
Harmonic Conjugate of the X(20) de Longchamps Point with respect to the
X(02) Centroid and the X(04) Orthocenter (the X(20) de Longchamps Point
is not between the X(02) Centroid and X(04) Orthocenter) is the
X(3091).
- The Harmonic Conjugate of the X(20) de Longchamps Point
with respect to the X(02) Centroid and the X(05) Nine-Point Center (the
X(20) de Longchamps Point is not between the X(02) Centroid and X(05)
Nine-Point Center) is the X(7486).
- The Harmonic Conjugate of the
X(20) de Longchamps Point with respect to the X(03) Circumcenter and
the X(04) Orthocenter (the X(20) de Longchamps Point is not between the
X(03) Circumcenter and X(04) Orthocenter) is the X(2).
- The
Harmonic Conjugate of the X(20) de Longchamps Point with respect to the
X(03) Circumcenter and the X(05) Nine-Point Center (the X(20) de
Longchamps Point is not between the X(03) Circumcenter and X(05)
Nine-Point Center) is the X(631).
- The Harmonic Conjugate of the
X(20) de Longchamps Point with respect to the X(04) Orthocenter and the
X(05) Nine-Point Center (the X(20) de Longchamps Point is not between
the X(04) Orthocenter and X(05) Nine-Point Center) is the X(3832).
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