Alphabetical index of terms in ETC

César E. Lozada - December 23, 2019
Last update: 2024-12-26 - Revision 17 up to X(66583) - Total references: 1155

                                                                          





A

Adams circle, inverses in X(52506) anti-Artzt circle X(11168) anti-X3-ABC reflections triangle, related centers X(49102) Aquila triangle X(5586)
Aguilera triangle X(60877) anti-Artzt triangle X(11147) anti-Yff triangles - Related centers X(49143) Ara triangle X(5594)
Aguilera-Pavlov triangle X(60877) anti-Auriga triangles, related centers X(48454) anticenter X(10276) areal centers X(35307)
Aiyar-circle X(13870) anti-Ehrmann-mid triangle, related centers X(48655) anticevian-associated cubic X(40853) Aries triangle X(5596)
Ajima-Malfatti points X(179) anti-Kenmotu-centers triangles, related centers X(49303) antigonal conjugate X(14941) Artzt circle X(11168)
altimedial triangle X(15015) anti-Kenmotu-free-vertices triangles triangles, related centers X(48722) antigonal images X(37831) Artzt triangle X(9742)
Altintaş circle X(20033) anti-Lucas(±1)-homothetic triangles, related centers X(49373) antiparallels conics X(41380) Ascella triangle X(8726)
Altintaş hyperbola X(15449) anti-McCay triangle X(8587) antipedal conic X(65784) Ashrafov-Montesdeoca conic X(12089)
Altintaş-isodynamic triangles X(41016) anti-orthocentroidal circle X(467) antitomic conjugate X(14941) ATFF points X(10129)
Altintaş-Lozada-Neuberg line X(35049) anti-Parry 1st triangle, related centers X(48947) Antlia triangle X(5574) Atik triangle X(5927)
Altintaş-Moses-Neuberg hyperbola X(46816) anti-Parry 2nd triangle, related centers X(48980) apedal conic X(8268) Atik triangle X(8580)
always perspective triangles X(15428) anti-Pavlov-Altintaş triangle, 1st X(64522) apedal conic X(65784) Aubert points 1st and 2nd X(45010)
always-orthologic triangles X(36958) anti-tri-squares-central triangles, related centers X(49012) apollonian circles of mixtilinear triangles X(8162) Auriga triangles X(5597)
Andromeda triangle X(5573) anti-triangles X(11363) Apollonius point X(181) Ayme perspector X(3657)
Anna's circle X(34768) anti-triangles X(18909) Apollonius tangent line X(2254) Ayme triangle X(3610)
answer to question A X(554) anti-Ursa minor triangle X(23291) Apus triangle X(5584) Ayme-Moses perspectors X(3610)
anti-altimedial triangles X(15015) anti-Wasat triangle X(21616) Aquarius conic X(5585)

B

B- or (B)- line conjugates X(45266) Bevan point X(40) bipedal circumcentral conic (BPC conic) X(41537) Brocard point, 3rd X(73)
Bailey point X(401) Bevan-antipodal triangle X(34488) bipedal circumcentral line (BPC-line) X(41537) Brocard square X(3102)
Bankoff equilateral triangle X(34551) Bevan-Schröeder point X(1319) bireflection circumcentral conic (BRC-conic) X(41684) Brocard triangles 7th, 8th and 9th X(39801)
barycentric cubes X(23606) bi-anticevian conics X(35513) bireflection circumcentral line (BRC-line) X(41684) Brocard triangles 7th, 8th, 9th X(39643)
barycentric product of circumcircle antipodes X(32640) bicentric pairs, circles through X(35374) bisecting circle X(7623) Brocard(P,U)-harmonic conjugate of X X(14953)
barycentric square of the Euler line X(36412) bicentrically induced harmonic conjugates X(14953) Blaikie transform X(903) Brocard-Euler points of type 1 X(21509)
barycentric squares X(23582) bicevian centroidal collineation images X(63478) Bloom point X(40139) Brocard-Kiepert-Fermat cusp X(3411)
barycentric squares X(23962) bicevian chordal perspector X(60614) Bradley bicevian points and axes X(41202) Brocard-Lemoine conic X(14941)
barycentric symbolic substitution (BSS) X(14078) bicevian chordal triangle X(60614) Brisse transform X(1354) BSS X(14078)
basepoints of perspective triangles X(64970) bicevian conic chordal perspector X(60788) Brocard antipedal hyperbola X(43702) Burek concurrent circles images X(5523)
Beltrami-Euler point X(3568) bicevian conic of X(3) and X(6), points on X(47405) Brocard axes concurrences X(15766) Burek-cevian conic X(5777)
Beltrami-Parry point X(3569) bicevian triangles X(40632) Brocard axis intercepts 37469-37517 X(37469) Burgess point X(1133)
Beth conjugates X(1393) bicevian-, bianticevian-, bipedal- and biantipedal- inconics X(65784) Brocard equilateral triangle X(3104)
Bevan antipodal triangle X(223) bicircumcevian inconic X(65784) Brocard midpoint X(39)

C

Caelum triangle X(5602) circles inversion circles X(39486) Clawson circles X(52726) Crimean points X(41890)
Calaeno points X(30103) circles inversion circles X(39559) Clawson point X(19) cross-perspeconics X(15648)
Caucasian points X(41890) circles inversor X(5577) Clifford (4)/(5)/(6) centers X(11634) cross-triangles X(10290)
CCC cubics X(40718) circles through couples of bicentric pairs X(35374) cnic (circumnormal-isogonal conjugate) X(8715) crossdifferences X(46380)
center of involution X(14782) circles through X(13) and X(14) X(42731) co-Brocard circles X(43118) crosshexagon X(65651)
center of similitude X(7693) circum-eigencenters X(6570) coefficient point X(8551) crosshexagon lines X(65651)
centers and perspectors of inverses of lines in Steiner ellipses X(44550) circum-eigentransform X(6570) collineation images X(16544) crosshexagon points X(65651)
centers of circles through X(24007) and X(24008) X(44202) circum-Euler-points X(38723) collineation images X(16678) crosspedal triangles (part 1) X(63961)
centers of circumcircle-inverses of lines X(44805) circumcenter X(3) collineation images X(17043) crosspedal triangles (part 2) X(64693)
central angle points X(42614) circumcenters of circumcevian polar triangles X(39382) collineation images X(17134) crosssums of circumcircle-P-antipodes X(38957)
centroid X(2) circumcenters of circumcevian polar triangles X(39628) collineation images X(17738) CT-perspectors X(45810)
centroid of curvatures X(31393) circumcevian triangles and their inverses X(43344) collineation images on the Euler line X(16286) ctc (Gibert circumtangential conjugate) X(8616)
centroid of three points on the circumcircle X(35258) circumcevian triangles and their inverses X(46961) collineations inverse-images X(18588) ctic (circumtangential-isogonal conjugate) X(8666)
centroidal conics X(10153) circumcevian-inversion triangle X(34864) Collings transform X(1286) cubic K1230, points on X(43448)
centroidal triangles X(10153) circumcevian-inversion triangle of X(3) X(35237) Combos (1+h)*X(3) - h*X(4) on the Euler line X(49127) cubic K588, centers on X(42676)
centroids of quadrilateral X(6666) circumcircle inversion circles X(39475) common circumconics X(14713) cubic X(24727) X(24727)
centroids of triangles with central vertices X(38021) circumcircle, midpoints of points on the X(53709) common circumconics of two triangles (2) X(65525) cubic X(24733) X(24733)
CET(U) X(6570) circumcircle-F-antipode of U X(26700) common inconic of two triangles X(65386) cubics, points on X(39693)
Ceva conics, 1st X(40530) circumcircle-inverses of points on the Euler line X(37896) common point of radical axes of two circles X(60353) cubics, points on X(39765)
Ceva conics, 2nd X(40578) Circumcircle-inverses of points on the line X(1)X(6) X(51632) composites X(64426) cubics, points on X(39942)
cevapoint conics X(40462) Circumcircle-inverses of points on the Nagel line X(51619) congruent incircles isoscelizer point X(258) cubics, points on X(39994)
cevian centroid isogonal perspectors X(39667) circumconcevian triangle X(62691) congruent incircles point X(5394) cubics, points on X(40009)
cevian-circumconic triangles X(36598) circumnormal-isogonal conjugates X(8715) congruent shrunk insquares points X(585) cubics, points on special X(46706)
cevian-cross triangle X(40718) circumorthiac triangle X(40928) congruent squares point X(371) cubics, points on special X(46738)
cevian-cross triangles X(40840) circumparabola with center X(513), points on X(42921) conjugate hyperbola X(60343) cubics, points on special X(46779)
cip transform X(39371) circumparabola with infinite center X(43935) conjugate-couple X(14782) cubics, points on special X(46826)
CIR(U) X(2365) circumparabolas, foci of X(38017) Conway 2nd triangle X(9776) cubics, points on special X(46877)
circle of similitude X(8072) circumperp conjugate X(18859) Conway 3rd, 4th, 5th triangles X(10434) Cullen cubic K369 X(42413)
circle through a given point and coaxial with two given circles X(60742) circumscribing triangle of two conics X(55321) Conway circle, points associated X(38473) cyclologic centers X(34578)
circlecevian perspectors X(39389) circumtangential-bicevian-perspector X(60552) Conway inner triangle X(11677) cyclologic centers X(37743)
circlecevian triangle X(34520) circumtangential-isogonal conjugates X(8666) Conway triangle X(7411)

D

D-maps X(65742) Dao-Apollonius circles X(13443) Darboux image X(5881) Dolgirev-Hatzipolakis-Lozada point X(6585)
D-tangent of two circumconics X(55321) Dao-bipedal conic / perspector X(18840) Darboux quintic point X(11589) dominican images X(5565)
Danneels perspectors X(3119) Dao-conjugates X(44687) DC and CD points X(2979) Dosa point X(3554)
Danneels points X(3078) Dao-image X(15345) De Longchamps line, points on X(35516) Dou circle X(155)
Danneels points X(8012) Dao-Lester circles X(42740) De Longchamps point X(20) Dou circle X(9718)
Danneels-Apollonius perspector X(2092) Dao-Lozada circum-bicevian-perspector X(60530) De Villers point, 1st X(1127) double-points of an involution X(14782)
Dao (a, b, c, R) perspector X(6188) Dao-Lozada tangential perspector X(42622) De Villers point, 2nd X(1128) double-sign-images X(65112)
Dao circle X(10097) Dao-Moses-Telv circle X(6103) Dedalus point X(40141) Droussent pivot X(316)
Dao equilateral triangles, 1st & 2nd X(16038) Dao-Parry circles X(42740) degree 3-centers with coefficients in {-1,0,1} X(32771) dual of the circumcircle, points on X(36789)
Dao perspector X(18212) Dao-perspeconic, 2nd X(66401) dilations of points on the circumcircle to other circles X(38497) dual of the incircle, points on X(36795)
Dao point X(10097) Dao-perspeconics X(40051) dilations of points on the circumcircle to other circles (38551-38719) X(38551) Dual triangles X(2979)
Dao triangle X(45738) Dao-symmedial circle X(5092) direction of vector X(527) duple triangles X(30543)
Dao twelve Euler lines point X(4240) Dao-Vecten circles X(6118) director circles X(61103)
Dao-6 point circle X(5569) Dao-Zeeman perspectors X(63787) Dixit points X(3590)

E

Ehrmann 2nd triangle X(8537) Electra(B) triangles X(45196) Euler coordinates X(47090) Evans conic, points on X(41943)
Ehrmann circle and A, B-,C- Ehrmann circles X(8537) elestrostatic potential center X(5626) Euler infinity point X(30) Evans perspector, 1st X(484)
Ehrmann congruent squares point X(1144) ellipsologig centers X(34773) Euler line intercepts 37009-37127 X(37009) Evans perspectors X(1276)
Ehrmann pivots / triangles X(18300) endo homothetic centers X(7581) Euler line intercepts 37144-37201 X(37144) Evans point X(1374)
Ehrmann point, 3rd X(1145) Eppstein points X(481) Euler line intercepts 37224-37468 X(37224) even infinity point X(696)
Ehrmann points X(973) equal areas isoscelizer point X(364) Euler line intercepts with tangent lines to circumcircle X(46585) even minor triangle centers of degree 2 X(48627)
Ehrmann-μ or μ-Ehrmann circle X(34112) equal detour point X(176) Euler lines concurrences X(15766) even minor triangle centers of degree 3 X(48641)
Ehrmann-1 or 1-Ehrmann circle X(34112) equal perimeters isoscelizer point X(363) Euler substitutions points X(409) excosine circle / conic / triangles X(17807)
Ehrmann-Lozada ellipse X(9731) equi-Brocard center X(368) Euler(P,U)-harmonic conjugate of X X(14953) Exeter point X(22)
Eigencenters X(2120) equiareality center X(5373) Euler-Morley-Zhao point X(5390) external Savin point X(65739)
eigencenters of circumcevian/circumanticevian triangles X(39412) equicenters X(38344) Euler-Vecten-Gibert points X(2041) extouch triangles 2nd to 5th X(5927)
eigentransform X(2120) equilateral cevian triangle point X(370) eulerologic centers 2 X(16189) extra triangles X(7001)
Electra triangles X(45216) ET(U) X(2120) eulerologic triangles and centers X(10237)

F

Far-out point X(23) Fermat-Dao equilateral triangles, 15th & 16th X(16960) Fermat-Dao-Nhi triangles, orthologic centers X(36318) Feuerbach tangent line X(2254)
Farhangi-cyclocevian images X(8043) Fermat-Dao equilateral triangles, 1st & 2nd X(16247) Fermat-Dao-Nhi triangles, related centers X(49794) foci of an involution X(59437)
Fermat point X(13) Fermat-Dao equilateral triangles, 3rd & 4th X(16267) Feuerbach antipode X(119) Fregier points X(30181)
Fermat triangles, inner/outer X(16646) Fermat-Dao equilateral triangles, 5th & 6th X(16459) Feuerbach line X(5499) Fuhrmann center X(355)
Fermat-Dao equilateral triangles, 11th & 12th X(16626) Fermat-Dao equilateral triangles, 9th & 10th X(16536) Feuerbach point X(11) Fuhrmann triangles X(16112)
Fermat-Dao equilateral triangles, 13th & 14th X(16636) Fermat-Dao-Nhi triangles X(33602) Feuerbach quadrangle X(10276) Fuhrmann, P-triangle X(5613)

G

G mapping X(3112) generalized Paasche conics, points Associated X(38310) Gibert points on the cubic K1204 X(42594) Gibert-Simson transforms X(15411)
g-triangles X(41394) Gergonne line extraversion triangle X(10180) Gibert points on the cubic K1207 X(42725) Giugiuc center of similitude X(7666)
Gallatly circle X(2007) Gergonne line, points on X(43034) Gibert points on the cubic K1208 X(42773) golden arbelos points X(2671)
gamma triangle X(15915) Gergonne point X(7) Gibert points on the cubic K1220 X(43193) Gosssard perspector X(402)
gamma-center of similitude X(15915) Ghoicas-Lozada image X(14815) Gibert points on the cubic K1224 X(43292) greatest area circumscribed equilateral triangle X(9114)
García inner and outer triangles X(5587) Gibert (i,j,k) points X(42085) Gibert points on the cubic K1225 X(43324) Grebe circle X(33703)
García points X(5550) Gibert -Neuberg perspectors X(8172) Gibert points on the cubic K1226 X(43364) Grebe point X(6)
García reflection triangle X(15995) Gibert circumtangential conjugates X(8616) Gibert points on the cubic K1228 X(43397) Greenhill circle X(11041)
García-Capitán circles X(11065) Gibert point X(1141) Gibert points on the cubic K1229 X(43416) Greenhill point X(1159)
García-Feuerbach points X(5550) Gibert points X(42562) Gibert points on the cubic K1232 X(43769) Griffiths points X(1373)
García-Moses triangle X(51504) Gibert points associated with the KHO hyperbola {{X(2),X(4),X(15),X(16),X(316)}} X(43457) Gibert points on the cubic K1234 X(43869) Grigoriev conics X(5430)
Gemini triangle 111, associated points X(40896) Gibert points on cubics K1194-K1201 X(42488) Gibert points on the KHO cubics K1215-K1217 X(42940) Grinberg homothetic centers X(1383)
Gemini triangles 001-040 X(24537) Gibert points on cubics K1206a and K1206b X(42682) Gibert points on the KHO quartic Q168 X(42557) Grinberg point, 1st X(1122)
Gemini triangles 041-060 X(26153) Gibert points on the Brocard-Kiepert quartic, Q073 X(42537) Gibert quadratic transformations and inverses X(41231) Grozdev-Dekov circles X(11615)
Gemini triangles 061-100 X(27378) Gibert points on the cubic K1191 X(42625) Gibert-Burek-Moses concurrent circles images X(5524)
Gemini triangles 101-111 X(30738) Gibert points on the cubic K1196 X(42429) Gibert-Moses centroid X(21153)
Gemini triangles, associated perspectors X(36849) Gibert points on the cubic K1200 X(42472) Gibert-Simson transform X(2394)

H

H-conics X(54460) Hatzipolakis-Lozada hyperbola X(14052) Hatzipolakis-Suppa transforms X(44937) Hung-Lozada-Euler point X(10210)
H-transform X(10025) Hatzipolakis-Lozada images X(6583) Hatzipolakis-Van Tienhoven triangles X(6120) Hung-Montesdeoca perspector X(10207)
h-triangles X(41394) Hatzipolakis-Lozada midpoint X(10095) Helman line X(51640) Hung-Montesdeoca radical center X(10206)
h-triangles X(41431) Hatzipolakis-Lozada nine-point image X(6583) Hex2T circles X(10137) Hung-Montesdeoca-Moses point X(10208)
Haedus transform X(35182) Hatzipolakis-Lozada point X(10216) Hiriart-Urruty minimizer X(5544) Hung-Soddy touchpoints X(6135)
half-circumcevian triangle X(11615) Hatzipolakis-Lozada quintic X(10095) hodpieces X(40139) Hutson centroidal ellipse X(5943)
half-diamonds triangles X(33338) Hatzipolakis-Lozada triangle X(6344) Hofstadter inellipse X(42074) Hutson circle, 1st X(5459)
half-diamonds-central triangles X(33338) Hatzipolakis-Lozada-Euler reflection point X(6343) Hoftstadter one point X(359) Hutson circle, 2nd X(5460)
half-squares triangles X(33338) Hatzipolakis-Lozada-Fermat points X(10217) Hoftstadter zero point X(360) Hutson ellipse X(5483)
harmonic center X(8072) Hatzipolakis-Lozada-Kosnita point X(6584) homo-perspeconic X(17410) Hutson inner triangle X(363)
harmonic mean X(59294) Hatzipolakis-Montesdeoca-De Longchamps conic X(12090) homologous images X(6724) Hutson outer triangle X(363)
harmonic of one point X(566) Hatzipolakis-Moses circumcenter X(6637) homothetors involving the Ehrmann mid-triangle X(36718) Hutson right hyperbolas, stationary points X(38001)
harmonic traces X(8072) Hatzipolakis-Moses images X(7680) homothetors involving the Euler triangle X(36651) Hutson-extouch triangle X(5731)
Hatzipolakis 3rd triangle X(17817) Hatzipolakis-Moses images X(10263) homothetors involving the infinite altitude triangle X(36697) Hutson-Feuerbach points X(3614)
Hatzipolakis axis X(18039) Hatzipolakis-Moses nine-point image X(12824) Honsberger triangle X(7670) Hutson-intouch triangle X(5731)
Hatzipolakis-Euler images X(63640) Hatzipolakis-Moses triangle X(6145) HR-ellipse X(34603) Hutson-McCay points X(7611)
Hatzipolakis-Euler-Moses point X(6143) Hatzipolakis-Moses triangle, 2nd X(63656) Hung circle X(5944) Hutson-Moses hyperbola X(5376)
Hatzipolakis-Euler-Schiffler point X(5424) Hatzipolakis-Moses-Euler centroids X(7667) Hung circle, inner X(5955) Hutson-Wolk points X(5597)
Hatzipolakis-Lozada circle X(10222) Hatzipolakis-Moses-Euler centroids X(7734) Hung circle, outer X(5956) Hyacinth triangle X(10111)
Hatzipolakis-Lozada circles X(44916) Hatzipolakis-Suppa circle X(44937) Hung-Feuerbach triangle X(5973)
Hatzipolakis-Lozada homothetic centers X(7603) Hatzipolakis-Suppa ellipse X(46440) Hung-Lozada cyclologic center X(10214)

I

IE59 X(12835) infinity bisector X(62489) inverse triangles X(42005) isodynamic points X(15)
In-Exsimilicenters of Hatzipolakis-Suppa Circle and some circles X(65630) infinity-incircle-transform X(47006) inverse triangles and anti- triangles X(45345) isodynamic-Dao equilateral triangles X(16802)
incenter X(1) inner Vecten point X(486) inverse-in-Conway circle triangle X(10439) isodynamic-Dao equilateral triangles, 3rd & 4th X(31683)
incircle transform X(3318) inscribed conics, centers X(52526) inverse-in-excircles triangle X(8055) isogonal conjugates and isotomic conjugates X(44159)
incircle-circles triangle X(11034) inscribed conics, perspectors X(52549) inverse-in-incircle triangle X(5571) isogonic points X(13)
Incircle-inverses of points on the Euler line X(51615) internal Savin point X(65738) inverses of points on the Euler line in permutation ellipse X(44575) isologic triangles, center, transversal, pole, polar, conjugate X(66512)
inconics through two given points X(59437) Intersection of radical axes involving apollonian circles X(50645) inverses of triangles Gemini 15 and 16 X(43213) isoperimetric point X(175)
inconics, 4th tangent line X(52302) intersections of inconics X(24973) inverter of rwo circles X(5577) isoscelicer points X(503)
inconics, perspectors X(18810) intriangles and extriangles centers X(30514) involution X(14782)
infinite difference point X(23870) inverse Gemini triangles X(43260) IO line intercepts 37520-37625 X(37520)

J

Jenkins tangential triangle X(37865) Jerabek antipode X(113) Johnson midpoint X(495)
Jenkins triangles, related centers X(49634) Johnson inner/outer triangles X(10522) Johnson-Yff circle X(1478)

K

K-transform X(10025) Kenmotu point X(371) Kiepert point, 1st X(1131) Kirikami-Schiffler points X(3647)
K025 - related locus X(52444) Kenmotu-centers triangles X(44582) Kiepert point, 2nd X(1132) Kirikami-Steiner trifolium X(66532)
K1151, points of the cubic X(36926) Kenmotu-centers triangles, related centers X(49208) Kiepert-cevian conjugate X(54449) Kiss-Moses mapping X(43390)
K229 Moses images X(23342) Kenmotu-Van Lamoen points X(588) Kimberling-Pavlov conjugate X(55917) KM and MK special perspectors X(43803)
K244 Moses images X(23097) KHM cubic X(14459) Kirikami concurrent circles images X(5503) KM and MK special perspectors X(43816)
K616 - related locus X(52448) KHM(P) X(14459) Kirikami concurrent circles images, 2nd kind X(5508) KM and MK special perspectors X(43845)
K635 Moses images X(23352) Kiepert antipode X(114) Kirikami points X(3640) KM triangles X(43584)
Kenmotu diagonal triangles X(31) Kiepert cevian triangle X(4444) Kirikami six circles image X(5509) Kosnita point X(54)
Kenmotu free vertices triangle, 1st X(12375) Kiepert image X(13486) Kirikami-Euler image X(5485) Koutras-Hatzipolakis-Moses points X(14459)
Kenmotu free vertices triangle, 2nd X(12376) Kiepert infinity points X(3413) Kirikami-Euler-Lemoine points X(5621) KS(U) X(3647)
Kenmotu homothetic centers X(5412) Kiepert parabola, focus X(110) Kirikami-Kosnita-Euler point X(10211)

L

L(P,U)-harmonic conjugate of X X(14953) Lemoine-Dao triangles X(16940) Loud points X(9118) Lucas antipodal tangents triangles X(9723)
Lachance-Moses-Brianchon points X(52522) Lester circle X(1116) Lozada circles X(9729) Lucas antipodal triangle X(6457)
largest-circumscribed-equilateral triangle X(36761) Lester-Moses points X(15535) Lozada conics X(9724) Lucas Brocard triangle, X(6421)
Le Viet An equilateral triangles X(14169) Leversha point X(14070) Lozada perspectors X(6056) Lucas polar perspectors X(5406)
Le Viet An, inner- and outer circles X(43961) line conjugates on the Euler line X(44886) Lozada perspectors, 2nd X(41279) Lucas reflection triangle X(6401)
least area circumscribed equilateral triangle X(9114) line-reflected triangles X(30715) Lozada-Euler point X(7580) Lucas secondary circles X(6199)
Lemoine axis, points on X(42658) Lionheart-Moses k-image X(25045) Lozada-Lemoine circles X(44469) Lucas triangles, more X(6199)
Lemoine homothetic center X(3066) Liu points X(3598) Lozada-McCay points X(7613) Lucas(t) homothetic triangle X(493)
Lemoine point X(6) Longet-Higgins, point X(962) Lozada-Soddy conic X(52803)

M

M(U) points X(6129) Mittenpunkt X(9) Montesdeoca-Euler points X(42789) Moses-Apollonius transform X(52805)
MacBeath points X(2967) mixed polar line X(55179) Montesdeoca-Hung triangle X(6042) Moses-Euler Point X(14030)
MacBeath-Simmons circles X(45256) mixtilinear incentral triangle X(7955) Montesdeoca-Lemoine circles X(8160) Moses-Feuerbach circumhyperbola X(60478)
Maia points X(552) mixtilinear triangles X(7955) Morley center X(356) Moses-Hung triangle X(6044)
Malfatti perspector, inner X(46891) mixtilinear triangles 8th and 9th X(44840) Morley conic X(16271) Moses-Hung-circle X(6044)
Malfatti perspector, outer X(46892) Miyamoto (k)-perspector X(61152) Morley midpoint triangles X(3602) Moses-Jerabek conic X(34426)
Malfatti-Rabinowitz points X(1142) Miyamoto-(T, k) perspector X(61152) Morley-adjunct-midpoint triangles X(16839) Moses-Kirikami image X(3589)
Malfatti-touchpoints triangle X(46876) Miyamoto-Lozada centers X(50032) Morley-Gibert perspectors X(3608) Moses-Lemoine conic X(34426)
maltitudes X(10276) Miyamoto-Lozada circle, 1st X(53002) Morley-Gibert points X(1507) Moses-Lucas circles X(6522)
Mandart-excircles triangles X(10974) Miyamoto-Lozada circle, 2nd X(53003) Morley-homothetic-circumscribed triangle X(66554) Moses-Parry circle X(8428)
Mandart-incircle triangle X(6018) Miyamoto-Lozada perspector X(53004) Morley-homothetic-inscribed triangle X(66554) Moses-Soddy triangle X(44311)
McCay triangle X(7606) Miyamoto-mixtilinear related centers X(64446) Morley-Kirikami points X(5454) Moses-Steiner ellipse X(6069)
mid-arc points X(177) Miyamoto-Moses circle X(53006) Morley-Taylor-Marr centers, 1st and 2nd X(357) Moses-Steiner image X(6069)
mid-cevian cubics X(36814) Miyamoto-Moses points X(52805) Morley-Taylor-Marr centers, 3rd to 6th X(1134) Moses-Steiner ortho-image X(6069)
mid-cevian cubics X(36871) Miyamoto-Moses triangle X(52805) Morley-Van Tienhoven points X(5628) Moses-Steiner reflection triangle X(34505)
mid-trace triangles X(36810) Miyamoto-Moses-Apollonius circle, 5th X(64798) Moses circle X(1015) Moses-Steiner tangential-image X(6069)
mid-triangles X(10290) Miyamoto-Moses-Apollonius circles X(52805) Moses code X(17226) Moses-Yff image X(14163)
midcevian triangles X(40674) Miyamoto-Moses-Apollonius triangles X(52805) Moses conics X(36949) MR conics X(46681)
midpoints of X(2) and other points X(45310) MJC Moses-Jerabek conic X(34426) Moses hull circle X(6048) Muscovite points X(41890)
midpoints of X(2) and other points X(45657) MLC Moses-Lemoine conic X(34426) Moses osculatory triangle X(34505) mutual polar conic X(32559)
midpoints on the Euler line X(44210) Montesdeoca conic X(5702) Moses points on the Euler line t-uplas X(17669) mutual-reflections conic X(46681)
Mimosa transform X(1707) Montesdeoca degenerate conics point X(8183) Moses radical circle X(6111) Myakishev conic X(3588)
Miquel point X(501) Montesdeoca equilateral triangles X(5618) Moses-Apollonius ellipse X(34453)

N

N-obverse triangles X(24310) Napoleon points X(17) Nguyen X-triangle X(14538) nine-point-center X(5)
Nagel point X(8) Neuberg-Gibert hyperbola X(60603) Nguyen-Euler points X(14226) nine-point-circle-inverses of points on the Euler line 37981-37990 X(37981)
Nagel-Schröeder point X(1339) Nguyen images X(14206) Nguyen-Moses circle X(14538) NK transform X(2081)
Napoleon cevapoint X(1487) Nguyen orthoimage X(14538) Nguyen-Moses image X(14483)
Napoleon crosssum X(1493) Nguyen rectangle X(14206) nine-point circle, points on X(42422)

O

obverse triangle of X(69), associated perspectors X(40921) orthic axis, points on X(47122) orthocevian triangles X(8601) orthoparallelogic conic X(31353)
obverse triangle of X(69), perspectors X(39144) orthic-of-Fuhrmann triangle X(65985) orthocorrespondents X(1992) orthopolar circle / conic X(31727)
obverse triangles X(24307) ortho-perspective triangles X(45695) orthogonal circles, centers of X(59829) orthoptic circles X(61103)
odd infinity point X(768) orthoanticevian triangles X(8635) orthogonal points X(566) orthosymmedial circle X(5480)
odd minor triangle centers X(48412) orthoarmonic X(566) orthojoins X(1512) orthosymmedial triangles X(6792)
Odehnal tritangent circles X(3822) orthoassociate X(5523) orthologic conic / orthologic tangential-conic X(31353) osculatory triangle X(34924)
Odenhal points X(3596) orthocenter X(4) orthologic conjugates X(66512) Osiris points X(40328)
Orion transform X(2055) orthocentric triangle X(5484) orthologic pedal triangles X(41537) outer-Grebe triangle, 2nd X(66426)
orthic axes triangle X(2501) orthocentroidal triangle X(5476) orthologic reflection triangles X(41684)

P

P-Fuhrmann triangles X(5613) pedal conic chordal perspector X(60788) points in a [X(514)X(661), X(523)X(661)] coordinate system X(48264) Points on the Helman line X(51640)
P-pedal triangle of Q X(64693) pedal triangle of the centroid X(40670) Points in a [[a,b,c], [a(b+c), b(c+a), c(a+b)]] coordinate system X(49272) points on the line at infinity X(64855)
Paache-Myakishev ellipse X(5393) pentagon points X(1139) Points in a [[a,b,c], [b-c,c-a,a-b]] coordinate system X(49750) points on the line at infinity X(64900)
Paache-Myakishev-Moses conic X(5405) permutation ellipse X(35025) Points in a [[bc(b-c),ca(c-a),ab(a-b), [(b-c)^3, (c-a)^3,(a-b)^3]] coordinate system X(49675) points on the line X(2)X(37) X(42698)
Paasche conic X(37861) permutation ellipse E(X(4440)) X(39345) Points in a [[bc(b-c),ca(c-a),ab(a-b)], [a(b^2-c^2),b(c^2-a^2),c(a^2-b^2)]] coordinate system X(49445) points T(P,U) X(47488)
Paasche ellipse, associated points X(37994) permutation ellipse of X(6), points on X(35963) Points in a [[bc(b-c),ca(c-a),ab(a-b)], [a^2(b-c),b^2(c-a), c^2(a-b))]] coordinate system X(49501) points with 1st barcentric b^3 +k a b c+c^3 X(25957)
Paasche point X(1123) permutation ellipses of X(1), points on X(36215) Points in a [[bc,ca,ab], [b-c,c-a,a-b]] coordinate system X(49979) pointwise barycentric cubes X(23606)
Paasche triangles, associated points X(39311) permutation ellipses, inverses in X(41133) Points in some coordinates system X(50010) polar circle, inverses in X(52458)
Paasche-Hutson triangle X(37994) perspeconics X(15254) Points in some coordinates system X(50041) polar co-center point X(19901)
Pamphilos-Zou triangles X(7594) perspeconics X(34807) Points in some coordinates system X(50074) polar co-centric triangles X(19901)
Panchapakesan circles X(46001) perspective centroid X(58747) Points in some coordinates system X(50144) polar reciprocal conics X(34936)
Pappus pivot X(6179) Perspectors involving the García-Moses triangle X(51504) Points in some coordinates system X(50153) polarologic centers X(42287)
Pappus points X(3557) perspectors of inconics X(18810) Points in some coordinates system X(50215) polelogic centers X(42287)
Pappus points X(46894) PK transform X(2081) Points in some coordinates system X(50247) poles of named lines wrt named circles X(44408)
para-perspective triangles X(45695) Płatek circle X(64499) Points in some coordinates system X(50256) power curve X(40297)
parallelogic conic / parallelogic tangential-conic X(31353) Pohoata point X(3333) Points in some coordinates system X(50281) power curve, Ceva conjugates associated X(40359)
parallels-perspeconic X(42819) Pohoata-Dao-Moses circles X(5607) Points in some coordinates system X(50326) power curve, complements and anticomplements associated X(40376)
parallels-tangential-conics X(37869) points associated with the cubic pK(X(50),X(1)) X(35197) Points in some coordinates system X(50449) power point, 4th X(560)
parapoint X(40843) Points in a coordinate system X(49716) Points in some coordinates system X(50481) power points X(31)
paratriangles X(40843) points in a [Brocard axis, Euler line] coordinate system X(48872) Points in some coordinates system X(50538) Prasolov point X(68)
paratriangles X(40853) Points in a [Euler line, Brocard axis] coordinate system X(48915) Points in some coordinates system X(50575) Privalov conic X(5451)
Parry 2nd and 3rd triangles X(9123) points in a [Euler line, Nagel line] coordinate system X(48834) Points in some coordinates system X(50771) product triangles X(42285)
Parry circle X(351) points in a [L(31),L(32)] coordinate system X(48392) Points in some orthogonal coordinates system X(50533) product triangles X(42464)
Parry point X(111) points in a [L(31),L(32)]-coordinate system X(47650) points in the [ [bc,ca,ab], [a,b,c] ] coordinate system X(48582) products X(i)*T X(42437)
Parry reflection point X(399) points in a [X(1)X(513), X(1)X(514)] coordinate system X(48320) points in the {X(2)X(514), X(2)X(523)}-coordinate system: X(47869) Psi-transformed X(14649)
Parry-Pohoata point X(399) points in a [X(1)X(514), X(1)X(523)] coordinate system X(48281) points in the {X(514)X(661), X(187)X(237)} coordinate system X(47900) PTC triangles X(62770)
Parry-Pohoata point X(8157) points in a [X(2)X(3), X(1)X(2)] coordinate system X(48798) points of the form tgX or gtX, where X is on the Euler line X(44077) PU(160) to PU(175), related centers X(46191)
Pavlov triangles X(63254) points in a [X(2)X(513), L(2)L(514)]-coordinate system X(47754) points on the circumellipse with center X(9) X(37128) PU(176) to PU(196), related centers X(46270)
Pavlov-Altintaş triangle, 1st X(64522) points in a [X(2)X(513), X(2)X(514)] coordinate system X(48543) Points on the Euler line X(50199) PU(197), related centers X(46187)
pedal antipodal perspector X(2) points in a [X(2)X(513), X(2)X(523)] coordinate system X(48156) Points on the Euler line X(50237) Pulcherrima point X(39131)
pedal circle chordal perspector X(60788) points in a [X(2)X(513), X(2)X(523)] coordinate system X(48382) Points on the Euler line X(50318) Pythagorean conic X(43630)

Q

quadsquare triangles X(8953)

R

Radical traces of circumcircle and other circles X(50360) reciprocal polar conics X(34936) reflection axis, 3rd X(46116) Rigby-Lalescu orthopole X(1594)
range in involution X(14782) rectangles 4th vertices X(46980) remarkable lines, intersection of X(45881) RS points X(2677)
Rasalgheti points X(39229) reflected-parallels circle X(61747) Rigby points X(1371)

S

Saragossa points X(1165) Shadow point X(1479) Soddy-Gergonne points X(3638) Steiner point X(99)
Savin triangles X(44301) Sharigyn point, 2nd X(291) special dilation triangle X(40911) Steiner-cevian conjugate X(54449)
Savin triangles, related centers X(49537) Sharygin Olympiads, centers X(41890) Spieker center X(10) Steiner-circumcevian triangles X(54097)
Schiffler circles X(14526) Sharygin points X(1281) square of the circumcircle X(41932) Steiner-ellipse-inverses of points on the Euler line X(44328)
Schiffler point X(21) Sharygin triangles X(8229) square root point X(365) Steiner-ellipse-inverses of points on the line X(1)X(3) X(44350)
Schiffler triangles X(6595) Sherman line, points on X(42750) SR points X(2677) Stevanovic perspectors X(2090)
Schmidt-Lozada cyclologic center X(10215) Shinagawa-Euler points X(47090) SS X(3221) Stevanovic point, 1st X(1130)
Schoute circle X(12017) Shinagawa-Euler points X(47308) SS X(3221) Stevanovic points X(1488)
Schröeder point X(1155) Shinagawa-Euler points X(47332) Stammler reflection hyperbola X(35537) Stevanovic points X(3021)
Schröeter triangle X(8286) Shinagawa-Euler points X(47629) Steiner circumellipse, touchpoints on X(53639) strictly inner points X(53660)
secondary pre-circumcevian-inversion point X(35000) Siberian points X(41890) Steiner curvature centroid X(1115) submedial triangle X(9813)
secondary pre-circumcevian-inversion points X(35447) sign-images X(65096) Steiner ellipses, osculating circles X(39300) Suppa Cucoanes circle X(53614)
self-dual permutation ellipse X(39103) Simmons inconics, points on X(41993) Steiner ellipses, real and imaginary foci X(39158) Suren-Moses equilateral-triangle circumcevian-inversion points X(36241)
self-dual permutation ellipse X(41133) simpedal point / triangle X(14870) Steiner ellipses, vertices X(39202) Suren-Shourya major points X(39624)
self-dual permutation ellipse, inverses in X(44649) Simson lines, intersections on the nine-point circle X(35579) Steiner equilateral triangles X(6069) symbolic substitution SS X(3221)
self-homologous point X(7693) singular foci of cubics X(14649) Steiner image X(13610) symmetric trapezium UOH'U' X(43388)
self-inverse Gemini triangles X(31610) SM points X(2855) Steiner midellipse X(36521) symmetric triangle X(15912)
self-inverse Gemini triangles X(31644) Soddy inner/outer triangles, 2nd X(31528) Steiner midway ellipse (SME) X(41133)
seven circles points of three circles X(62280) Soddy triangle X(31528) Steiner parabolas X(41301)

T

T mapping X(3112) Terzic circle X(41163) tri-squares triangles, 2nd X(13757) triply bilogic inscribed triangles X(32462)
T(k) triangles X(36436) tetrahedral projection X(40236) tri-squares triangles, 3rd & 4th X(13873) tripolar centroidal conjugates X(52746)
T(k) triangles, symmetric/homogeneous function X(36473) thinlne X(15670) triangles T(u_1,P*) X(63741) tripolar centroids X(1635)
T(k, n) triangle X(5858) Thomson-Gibert-Moses hyperbola X(5642) triangles T(u_2,P*) X(63746) tripolar coordinates X(32751)
T-isogonal-axes X(42287) Three Reflections Theorem X(46116) triangulation X(15766) tripolar triangle X(58747)
Talitha triangles X(34016) Thurnheer point X(46893) triaxial point X(14272) tripolar-perspector X(58747)
tangential midarc triangles X(6732) Tixier antipode X(477) trigonometric differences and products X(63825) tripolar-triaxial point X(58747)
tangential midarc triangles X(8075) Tixier point X(476) trigonometric midpoints X(63839) trisected perimeter center, 1st X(369)
tangential perspeconics X(15808) Torricelli point X(13) trigonometric sums X(63801) trisected perimeter center, 2nd X(3232)
tangential power curve X(40345) touchpoints conic of two circumconics X(55321) trilinear N-obverse triangles X(24519) trisection ellipse X(36436)
Tarry point X(98) Tran-Lozada bi-circumcevian perspector X(62249) trilinear obverse triangles X(24482) trisector ellipse X(41133)
TC conics X(36404) Tran-Lozada CCO-perspector X(62266) trilinear permutation conic X(36256) Tucker (X,p)-circle X(12835)
TCC perspectors X(1601) Tran-Lozada OOC-perspector X(62266) trilinear permutation conic of X(1054) X(39335) Tucker parameter X(13323)
TCCT-images X(15607) tri-equilateral inner/outer circles X(10631) trilinear products of circumcircle-P-antipodes X(36033) two-parallels points X(47371)
Terquem conjugate X(8043) tri-equilateral inner/outer triangles X(10631) trilinear squares X(23993)
Terzic circle X(41155) tri-squares triangles X(13637) Trinh triangle X(7688)

U

U(k, n) triangle X(5858) U-Hodpieces X(40212) unary operations X(62530)
U(P) circles X(6129) U-Van Lamoen circles X(8176) Ursa minor/major triangles X(17603)

V

V(P) circles X(6137) Vietnamese circles X(39210) Vijay-Paasche midpoints perspector X(37881) Vu isodynamicpPerspectors X(39402)
V- transform / V transforms on the circumcircle X(36514) Vietnamese lines, trilinear poles of X(39274) Vijay-Paasche tangents perspector X(37884) Vu isogonal perspectors X(39453)
V-perspeconics X(45188) Vietnamese points X(39177) Vijay-Paasche-Hutson triangles X(37994) Vu orthogonal conics X(40306)
Van Lamoen circle X(1153) Vijay ellipses X(44733) Vijay-Paasche-Hutson triangles X(38487) Vu P-cirumcircle points X(38451)
Van Lamoen circumcenters point X(592) Vijay incentral circles and excentral circles X(44039) Vijay-Paasche-Hutson triangles, associated points X(39607) Vu parallels conics X(40197)
Van Lamoen homothetic centers X(493) Vijay orthic medial circles and triangles X(45979) Vu (k)-conics X(38433) Vu PCC perspectors X(38900)
Van Lamoen perpendicular bisectors point, 1st X(591) Vijay orthic medial conic X(45979) Vu (P,U)-circles X(38457) Vu pedal translations X(38005)
Van-Khea-Pavlov triangle, 1st X(66193) Vijay orthic polar triangle of circumcircle X(44192) Vu (P,U)-circles perspectors X(38536) Vu pedal-centroidal circles X(38317)
Vecten point X(485) Vijay parallel transforms 1-13 X(43970) Vu antipedal translations X(38305) Vu points X(34520)
Vecten triangles, 2nd & 3rd X(32488) Vijay parallel transforms, 12th X(45289) Vu cevian tangential perspectors X(38809) Vu poles X(37756)
Vega transform X(1981) Vijay parallel triangles X(42970) Vu cevian-circles perspectors and related cyclocevian conjugates X(38825) Vu T-transform X(34914)
vertex conjugates X(3415) Vijay polar medial circles and triangles X(45845) Vu circlecevian point X(34892) Vu tangential transforms X(38848)
vertex square product X(61301) Vijay reflected squares point X(37838) Vu circles X(37806) Vu-Dao-isodynamic equilateral triangles X(5478)
vertex square sum X(61301) Vijay triangles associated with Vijay ellipses X(44733) Vu circumcevian-orthocenter perspectors X(38331) Vu-Lozada QA-points X(38247)
Vertex V of parallelograms X(47347) Vijay-Hutson triangles X(44021) Vu circumcevian-orthocenter, 2nd perspectors X(38336) Vu-Miquel points X(45238)

W

W-maps X(65887) Walsmith rectangular hyperbola X(32110) Wasat triangle X(21616) Wolk perspector X(5506)
Wabash center X(364) Walsmith triangle X(32217) Weill point X(354) Wolk-Feuerbach point X(5532)
Walsmith points X(5000) Walsmith-Moses points X(5002) Wernau points X(1337)

X

X(1)X(5) line intercepts 37691-37740 X(37691) X-parabola X(12064) Xcom(T) X(3663)
X(2)X(6) line intercepts 37636-37690 X(37636) X-parabola-tangential triangle X(12064)

Y

Yff parabolic point X(190) Yff-Moses hyperbolas X(58279) Yiu infinity points X(39469) Yiu-Hatzipolakis point X(1148)
Yff tangents inner/outer triangles X(10527) Yiu angle point X(848) Yiu reflection point X(5627) Yiu-Hutson conic X(14379)
Yff-Malfatti point X(400) Yiu conic X(478) Yiu tangents triangle X(7495)

Z

Zana point X(40140) Zaniah triangles X(18214) Zeeman-Gossard perspector X(402) Zosma transform X(1824)