Alphabetical index of terms in ETC

César E. Lozada - December 23, 2019
Last update: 2025-04-04 - Revision 18 up to X(68000) - Total references: 1192

                                                                          





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) CTR28 triangles, related points X(67844)
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 K1230, points on X(43448)
centroids of quadrilateral X(6666) circumcircle inversion circles X(39475) common circumconics X(14713) cubic K588, centers on X(42676)
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(24727) X(24727)
CET(U) X(6570) circumcircle-F-antipode of U X(26700) common inconic of two triangles X(65386) cubic X(24733) X(24733)
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(39693)
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(39765)
cevapoint conics X(40462) Circumcircle-inverses of points on the Nagel line X(51619) congruent incircles isoscelizer point X(258) cubics, points on X(39942)
cevian centroid isogonal perspectors X(39667) circumconcevian triangle X(62691) congruent incircles point X(5394) cubics, points on X(39994)
cevian-circumconic triangles X(36598) circumnormal-isogonal conjugates X(8715) congruent shrunk insquares points X(585) cubics, points on X(40009)
cevian-cross triangle X(40718) circumorthiac triangle X(40928) congruent squares point X(371) cubics, points on special X(46706)
cevian-cross triangles X(40840) circumparabola with center X(513), points on X(42921) conjugate hyperbola X(60343) cubics, points on special X(46738)
cip transform X(39371) circumparabola with infinite center X(43935) conjugate-couple X(14782) cubics, points on special X(46779)
CIR(U) X(2365) circumparabolas, foci of X(38017) Conway 2nd triangle X(9776) cubics, points on special X(46826)
circle of similitude X(8072) circumperp conjugate X(18859) Conway 3rd, 4th, 5th triangles X(10434) cubics, points on special X(46877)
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) Cullen cubic K369 X(42413)
circlecevian perspectors X(39389) circumtangential-bicevian-perspector X(60552) Conway inner triangle X(11677) cyclologic centers X(34578)
circlecevian triangle X(34520) circumtangential-isogonal conjugates X(8666) Conway triangle X(7411) cyclologic centers X(37743)

D

D-maps X(65742) Dao-6 point circle X(5569) Dao-Vecten circles X(6118) director circles X(61103)
D-tangent of two circumconics X(55321) Dao-Apollonius circles X(13443) Dao-Zeeman perspectors X(63787) Dixit points X(3590)
Danneels perspectors X(3119) Dao-bipedal conic / perspector X(18840) Darboux image X(5881) Dolgirev-Hatzipolakis-Lozada point X(6585)
Danneels points X(3078) Dao-Cevaconjugate-conics X(67401) Darboux quintic point X(11589) dominican images X(5565)
Danneels points X(8012) Dao-conjugates X(44687) DC and CD points X(2979) Dosa point X(3554)
Danneels-Apollonius perspector X(2092) Dao-image X(15345) De Longchamps line, points on X(35516) Dou circle X(155)
Dao (a, b, c, R) perspector X(6188) Dao-Lester circles X(42740) De Longchamps point X(20) Dou circle X(9718)
Dao circle X(10097) Dao-Lozada circum-bicevian-perspector X(60530) De Villers point, 1st X(1127) double-points of an involution X(14782)
Dao equilateral triangles, 1st & 2nd X(16038) Dao-Lozada tangential perspector X(42622) De Villers point, 2nd X(1128) double-sign-images X(65112)
Dao ortho-tripoles X(67101) Dao-Moses-Telv circle X(6103) Dedalus point X(40141) Droussent pivot X(316)
Dao perspector X(18212) 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 point X(10097) 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 triangle X(45738) Dao-perspeconics X(40051) dilations of points on the circumcircle to other circles (38551-38719) X(38551) Dual triangles X(2979)
Dao twelve Euler lines point X(4240) Dao-symmedial circle X(5092) direction of vector X(527) duple triangles X(30543)

E

Ehrmann 2nd triangle X(8537) Electra(B) triangles X(45196) Euler coordinates X(47090) eulerologic triangles and centers X(10237)
Ehrmann circle and A, B-,C- Ehrmann circles X(8537) elestrostatic potential center X(5626) Euler infinity point X(30) Evans conic, points on X(41943)
Ehrmann congruent squares point X(1144) ellipsologig centers X(34773) Euler line intercepts 37009-37127 X(37009) Evans perspector, 1st X(484)
Ehrmann pivots / triangles X(18300) endo homothetic centers X(7581) Euler line intercepts 37144-37201 X(37144) Evans perspectors X(1276)
Ehrmann point, 3rd X(1145) Eppstein points X(481) Euler line intercepts 37224-37468 X(37224) Evans point X(1374)
Ehrmann points X(973) equal areas isoscelizer point X(364) Euler line intercepts with tangent lines to circumcircle X(46585) even infinity point X(696)
Ehrmann-μ or μ-Ehrmann circle X(34112) equal detour point X(176) Euler line, circles tangent to X(67584) even minor triangle centers of degree 2 X(48627)
Ehrmann-1 or 1-Ehrmann circle X(34112) equal perimeters isoscelizer point X(363) Euler lines concurrences X(15766) even minor triangle centers of degree 3 X(48641)
Ehrmann-Lozada ellipse X(9731) equi-Brocard center X(368) Euler substitutions points X(409) excosine circle / conic / triangles X(17807)
Eigencenters X(2120) equiareality center X(5373) Euler(P,U)-harmonic conjugate of X X(14953) Exeter point X(22)
eigencenters of circumcevian/circumanticevian triangles X(39412) equicenters X(38344) Euler-Morley-Zhao point X(5390) external Savin point X(65739)
eigentransform X(2120) equilateral cevian triangle point X(370) Euler-Vecten-Gibert points X(2041) extouch triangles 2nd to 5th X(5927)
Electra triangles X(45216) ET(U) X(2120) eulerologic centers 2 X(16189) extra triangles X(7001)

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 ellipse X(46440) Hung-Lozada-Euler point X(10210)
H-transform X(10025) Hatzipolakis-Lozada images X(6583) Hatzipolakis-Suppa transforms X(44937) Hung-Montesdeoca perspector X(10207)
h-triangles X(41394) Hatzipolakis-Lozada midpoint X(10095) Hatzipolakis-Van Tienhoven triangles X(6120) Hung-Montesdeoca radical center X(10206)
h-triangles X(41431) Hatzipolakis-Lozada nine-point image X(6583) Helman line X(51640) Hung-Montesdeoca-Moses point X(10208)
Haedus transform X(35182) Hatzipolakis-Lozada point X(10216) Hex2T circles X(10137) Hung-Soddy touchpoints X(6135)
Hagos circle X(67279) Hatzipolakis-Lozada quintic X(10095) Hiriart-Urruty minimizer X(5544) Hutson centroidal ellipse X(5943)
half-circumcevian triangle X(11615) Hatzipolakis-Lozada triangle X(6344) hodpieces X(40139) Hutson circle, 1st X(5459)
half-diamonds triangles X(33338) Hatzipolakis-Lozada-Euler reflection point X(6343) Hofstadter inellipse X(42074) Hutson circle, 2nd X(5460)
half-diamonds-central triangles X(33338) Hatzipolakis-Lozada-Fermat points X(10217) Hoftstadter one point X(359) Hutson ellipse X(5483)
half-squares triangles X(33338) Hatzipolakis-Lozada-Kosnita point X(6584) Hoftstadter zero point X(360) Hutson inner triangle X(363)
harmonic center X(8072) Hatzipolakis-Montesdeoca-De Longchamps conic X(12090) homo-perspeconic X(17410) Hutson outer triangle X(363)
harmonic mean X(59294) Hatzipolakis-Moses circumcenter X(6637) homologous images X(6724) Hutson right hyperbolas, stationary points X(38001)
harmonic of one point X(566) Hatzipolakis-Moses equilateral triangle X(66399) homothetors involving the Ehrmann mid-triangle X(36718) Hutson-extouch triangle X(5731)
harmonic traces X(8072) Hatzipolakis-Moses images X(7680) homothetors involving the Euler triangle X(36651) Hutson-Feuerbach points X(3614)
Hatzipolakis 3rd triangle X(17817) Hatzipolakis-Moses images X(10263) homothetors involving the infinite altitude triangle X(36697) Hutson-intouch triangle X(5731)
Hatzipolakis axis X(18039) Hatzipolakis-Moses nine-point image X(12824) Honsberger triangle X(7670) Hutson-McCay points X(7611)
Hatzipolakis-Euler images X(63640) Hatzipolakis-Moses triangle X(6145) HR-ellipse X(34603) Hutson-Moses hyperbola X(5376)
Hatzipolakis-Euler-Moses point X(6143) Hatzipolakis-Moses triangle, 2nd X(63656) Hung circle X(5944) Hutson-Wolk points X(5597)
Hatzipolakis-Euler-Schiffler point X(5424) Hatzipolakis-Moses-Euler centroids X(7667) Hung circle, inner X(5955) Hyacinth triangle X(10111)
Hatzipolakis-Lozada circle X(10222) Hatzipolakis-Moses-Euler centroids X(7734) Hung circle, outer X(5956)
Hatzipolakis-Lozada circles X(44916) Hatzipolakis-Moses-Morley hyperbola X(65378) Hung-Feuerbach triangle X(5973)
Hatzipolakis-Lozada homothetic centers X(7603) Hatzipolakis-Suppa circle X(44937) Hung-Lozada cyclologic center X(10214)

I

IE59 X(12835) infinity bisector X(62489) inverse Gemini triangles X(43260) IO line intercepts 37520-37625 X(37520)
In-Exsimilicenters of Hatzipolakis-Suppa Circle and some circles X(65630) infinity-incircle-transform X(47006) inverse triangles X(42005) isodynamic points X(15)
incenter X(1) inner Vecten point X(486) inverse triangles and anti- triangles X(45345) isodynamic-Dao equilateral triangles X(16802)
incircle transform X(3318) inscribed conics, centers X(52526) inverse-in-Conway circle triangle X(10439) isodynamic-Dao equilateral triangles, 3rd & 4th X(31683)
incircle-circles triangle X(11034) inscribed conics, perspectors X(52549) inverse-in-excircles triangle X(8055) isogonal conjugates and isotomic conjugates X(44159)
Incircle-inverses of points on the Euler line X(51615) intercepts of the line through X(4) and orthogonal to the Euler line X(67529) inverse-in-incircle triangle X(5571) isogonic points X(13)
inconics through two given points X(59437) 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, 4th tangent line X(52302) Intersection of radical axes involving apollonian circles X(50645) inverses of triangles Gemini 15 and 16 X(43213) isoperimetric point X(175)
inconics, perspectors X(18810) intersections of inconics X(24973) inverter of rwo circles X(5577) isoscelicer points X(503)
infinite difference point X(23870) intriangles and extriangles centers X(30514) involution X(14782)

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) Longet-Higgins, point X(962) Lozada-Soddy conic X(52803)
Lachance-Moses-Brianchon points X(52522) Lester circle X(1116) Loud points X(9118) Lucas antipodal tangents triangles X(9723)
largest-circumscribed-equilateral triangle X(36761) Lester-Moses points X(15535) Lozada circles X(9729) Lucas antipodal triangle X(6457)
Le Viet An equilateral triangles X(14169) Lester-Moses points X(66110) Lozada conics X(9724) Lucas Brocard triangle, X(6421)
Le Viet An, inner- and outer circles X(43961) Leversha point X(14070) Lozada perspectors X(6056) Lucas polar perspectors X(5406)
least area circumscribed equilateral triangle X(9114) line conjugates on the Euler line X(44886) Lozada perspectors, 2nd X(41279) Lucas reflection triangle X(6401)
Lemoine axis, points on X(42658) line-reflected triangles X(30715) Lozada-Euler point X(7580) Lucas secondary circles X(6199)
Lemoine homothetic center X(3066) Lionheart-Moses k-image X(25045) Lozada-Lemoine circles X(44469) Lucas triangles, more X(6199)
Lemoine point X(6) Liu points X(3598) Lozada-McCay points X(7613) Lucas(t) homothetic triangle X(493)

M

M(U) points X(6129) mixed polar line X(55179) Montesdeoca-Lemoine circles X(8160) Moses-Euler Point X(14030)
MacBeath points X(2967) mixtilinear incentral triangle X(7955) Morley center X(356) Moses-Feuerbach circumhyperbola X(60478)
MacBeath-Simmons circles X(45256) mixtilinear triangles X(7955) Morley centers, circumconics through X(67242) Moses-Hung triangle X(6044)
Maia points X(552) mixtilinear triangles 8th and 9th X(44840) Morley conic X(16271) Moses-Hung-circle X(6044)
Malfatti perspector, inner X(46891) Miyamoto (k)-perspector X(61152) Morley midpoint triangles X(3602) Moses-Jerabek conic X(34426)
Malfatti perspector, outer X(46892) Miyamoto-(T, k) perspector X(61152) Morley-adjunct-midpoint triangles X(16839) Moses-Kirikami image X(3589)
Malfatti-Rabinowitz points X(1142) Miyamoto-Lozada centers X(50032) Morley-Gibert perspectors X(3608) Moses-Lemoine conic X(34426)
Malfatti-touchpoints triangle X(46876) Miyamoto-Lozada circle, 1st X(53002) Morley-Gibert points X(1507) Moses-Lucas circles X(6522)
maltitudes X(10276) Miyamoto-Lozada circle, 2nd X(53003) Morley-homothetic-circumscribed triangle X(66554) Moses-Parry circle X(8428)
Mandart-excircles triangles X(10974) Miyamoto-Lozada perspector X(53004) Morley-homothetic-inscribed triangle X(66554) Moses-Soddy triangle X(44311)
Mandart-incircle triangle X(6018) Miyamoto-mixtilinear related centers X(64446) Morley-Kirikami points X(5454) Moses-Steiner ellipse X(6069)
McCay triangle X(7606) Miyamoto-Moses circle X(53006) Morley-Taylor-Marr centers, 1st and 2nd X(357) Moses-Steiner image X(6069)
mid-arc points X(177) Miyamoto-Moses points X(52805) Morley-Taylor-Marr centers, 3rd to 6th X(1134) Moses-Steiner ortho-image X(6069)
mid-cevian cubics X(36814) Miyamoto-Moses triangle X(52805) Morley-Van Tienhoven points X(5628) Moses-Steiner reflection triangle X(34505)
mid-cevian cubics X(36871) Miyamoto-Moses-Apollonius circle, 5th X(64798) Moses circle X(1015) Moses-Steiner tangential-image X(6069)
mid-trace triangles X(36810) Miyamoto-Moses-Apollonius circles X(52805) Moses code X(17226) Moses-Yff image X(14163)
mid-triangles X(10290) Miyamoto-Moses-Apollonius triangles X(52805) Moses conics X(36949) MR conics X(46681)
midcevian triangles X(40674) MJC Moses-Jerabek conic X(34426) Moses hull circle X(6048) Muscovite points X(41890)
midpoints of X(2) and other points X(45310) MLC Moses-Lemoine conic X(34426) Moses inparabola X(66975) mutual polar conic X(32559)
midpoints of X(2) and other points X(45657) Montesdeoca conic X(5702) Moses osculatory triangle X(34505) mutual-reflections conic X(46681)
midpoints on the Euler line X(44210) Montesdeoca degenerate conics point X(8183) Moses points on the Euler line t-uplas X(17669) Myakishev conic X(3588)
Mimosa transform X(1707) Montesdeoca equilateral triangles X(5618) Moses radical circle X(6111)
Miquel point X(501) Montesdeoca-Euler points X(42789) Moses-Apollonius ellipse X(34453)
Mittenpunkt X(9) Montesdeoca-Hung triangle X(6042) Moses-Apollonius transform X(52805)

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) orthoarmonic X(566) orthogonal projections on the Fermat line X(6)X(13) X(67478) orthologic conic / orthologic tangential-conic X(31353)
obverse triangle of X(69), perspectors X(39144) orthoassociate X(5523) orthogonal projections on the Gergonne line X(241)X(514) X(67643) orthologic conjugates X(66512)
obverse triangles X(24307) orthocenter X(4) orthogonal projections on the Lemoine axis X(187)X(237) X(67539) orthologic pedal triangles X(41537)
odd infinity point X(768) orthocentric triangle X(5484) orthogonal projections on the line X(1)X(3) X(67414) orthologic reflection triangles X(41684)
odd minor triangle centers X(48412) orthocentroidal triangle X(5476) orthogonal projections on the line X(1)X(4) X(67460) orthoparallelogic conic X(31353)
Odehnal tritangent circles X(3822) orthocevian triangles X(8601) orthogonal projections on the line X(1)X(6) X(67382) orthopolar circle / conic X(31727)
Odenhal points X(3596) orthocorrespondents X(1992) orthogonal projections on the line X(2)X(6) X(67391) orthoptic circles X(61103)
Orion transform X(2055) orthogonal circles, centers of X(59829) orthogonal projections on the Nagel line X(67340) orthosymmedial circle X(5480)
orthic axes triangle X(2501) orthogonal points X(566) orthogonal projections on the orthic axis X(230)X(231) X(67525) orthosymmedial triangles X(6792)
orthic axis, points on X(47122) orthogonal projections on the anti-orthic axis X(44)X(513) X(67493) orthogonal projections on the Soddy line X(1)X(7) X(67567) osculatory triangle X(34924)
orthic-of-Fuhrmann triangle X(65985) orthogonal projections on the Brocard axis X(67349) orthogonal projections on the Steiner minor axis X(1)X(X(3414) X(67685) Osiris points X(40328)
ortho-perspective triangles X(45695) orthogonal projections on the de Longchamps axis X(325)X(523) X(67596) orthogonal projections on the van Aubel line X(4)X(6) X(67662) outer-Grebe triangle, 2nd X(66426)
orthoanticevian triangles X(8635) orthogonal projections on the Euler line X(67324) orthojoins X(1512)

P

P-anticomplementary triangle X(66630) pedal circle chordal perspector X(60788) points in a [X(2)X(513), X(2)X(523)] coordinate system X(48382) Points on the Helman line X(51640)
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 line at infinity X(64855)
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(64900)
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 X(2)X(37) X(42698)
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 T(P,U) X(47488)
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 with 1st barcentric b^3 +k a b c+c^3 X(25957)
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) pointwise barycentric cubes X(23606)
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) polar circle, inverses in X(52458)
Paasche triangles, associated points X(39311) permutation ellipses, inverses in X(41133) Points in some coordinates system X(50010) polar co-center point X(19901)
Paasche-Hutson triangle X(37994) perspeconics X(15254) Points in some coordinates system X(50041) polar co-centric triangles X(19901)
Pamphilos-Zou triangles X(7594) perspeconics X(34807) Points in some coordinates system X(50074) polar reciprocal conics X(34936)
Panchapakesan circles X(46001) perspective centroid X(58747) Points in some coordinates system X(50144) polarologic centers X(42287)
Pappus pivot X(6179) Perspective Fields, points X(66087) Points in some coordinates system X(50153) polelogic centers X(42287)
Pappus points X(3557) Perspectors involving the García-Moses triangle X(51504) Points in some coordinates system X(50215) poles of named lines wrt named circles X(44408)
Pappus points X(46894) perspectors of inconics X(18810) Points in some coordinates system X(50247) power curve X(40297)
para-perspective triangles X(45695) PK transform X(2081) Points in some coordinates system X(50256) power curve, Ceva conjugates associated X(40359)
parallelogic conic / parallelogic tangential-conic X(31353) Płatek circle X(64499) Points in some coordinates system X(50281) power curve, complements and anticomplements associated X(40376)
parallels-perspeconic X(42819) Pohoata point X(3333) Points in some coordinates system X(50326) power point, 4th X(560)
parallels-tangential-conics X(37869) Pohoata-Dao-Moses circles X(5607) Points in some coordinates system X(50449) power points X(31)
parapoint X(40843) points associated with the cubic pK(X(50),X(1)) X(35197) Points in some coordinates system X(50481) Prasolov point X(68)
paratriangles X(40843) Points in a coordinate system X(49716) Points in some coordinates system X(50538) Privalov conic X(5451)
paratriangles X(40853) points in a [Brocard axis, Euler line] coordinate system X(48872) Points in some coordinates system X(50575) product triangles X(42285)
Parry 2nd and 3rd triangles X(9123) Points in a [Euler line, Brocard axis] coordinate system X(48915) Points in some coordinates system X(50771) product triangles X(42464)
Parry circle X(351) points in a [Euler line, Nagel line] coordinate system X(48834) Points in some orthogonal coordinates system X(50533) products X(i)*T X(42437)
Parry point X(111) points in a [L(31),L(32)] coordinate system X(48392) points in the [ [bc,ca,ab], [a,b,c] ] coordinate system X(48582) Psi-transformed X(14649)
Parry reflection point X(399) points in a [L(31),L(32)]-coordinate system X(47650) points in the {X(2)X(514), X(2)X(523)}-coordinate system: X(47869) PTC triangles X(62770)
Parry-Pohoata point X(399) points in a [X(1)X(513), X(1)X(514)] coordinate system X(48320) points in the {X(514)X(661), X(187)X(237)} coordinate system X(47900) PU(160) to PU(175), related centers X(46191)
Parry-Pohoata point X(8157) points in a [X(1)X(514), X(1)X(523)] coordinate system X(48281) points of the form tgX or gtX, where X is on the Euler line X(44077) PU(176) to PU(196), related centers X(46270)
Pavlov triangle, 3rd X(67010) points in a [X(2)X(3), X(1)X(2)] coordinate system X(48798) points on the circumellipse with center X(9) X(37128) PU(197), related centers X(46187)
Pavlov triangles X(63254) points in a [X(2)X(513), L(2)L(514)]-coordinate system X(47754) Points on the Euler line X(50199) Pulcherrima point X(39131)
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(50237) Pythagorean conic X(43630)
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(50318)

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 X(13637) Trinh triangle X(7688)
T(k) triangles X(36436) Terzic hyperbolas X(66092) tri-squares triangles, 2nd X(13757) triply bilogic inscribed triangles X(32462)
T(k) triangles, symmetric/homogeneous function X(36473) tetrahedral projection X(40236) tri-squares triangles, 3rd & 4th X(13873) tripolar centroidal conjugates X(52746)
T(k, n) triangle X(5858) thinlne X(15670) triangles T(u_1,P*) X(63741) tripolar centroids X(1635)
T-isogonal-axes X(42287) Thomson-Gibert-Moses hyperbola X(5642) triangles T(u_2,P*) X(63746) tripolar coordinates X(32751)
Talitha triangles X(34016) Three Reflections Theorem X(46116) triangulation X(15766) tripolar triangle X(58747)
tangential midarc triangles X(6732) Thurnheer point X(46893) triaxial point X(14272) tripolar-perspector X(58747)
tangential midarc triangles X(8075) Tixier antipode X(477) trigonometric differences and products X(63825) tripolar-triaxial point X(58747)
tangential perspeconics X(15808) Tixier point X(476) trigonometric midpoints X(63839) trisected perimeter center, 1st X(369)
tangential power curve X(40345) Torricelli point X(13) trigonometric sums X(63801) trisected perimeter center, 2nd X(3232)
Tarry point X(98) touchpoints conic of two circumconics X(55321) trilinear N-obverse triangles X(24519) trisection ellipse X(36436)
TC conics X(36404) Tran-Lozada bi-circumcevian perspector X(62249) trilinear obverse triangles X(24482) trisector ellipse X(41133)
TCC perspectors X(1601) Tran-Lozada CCO-perspector X(62266) trilinear permutation conic X(36256) Tucker (X,p)-circle X(12835)
TCCT-images X(15607) Tran-Lozada OOC-perspector X(62266) trilinear permutation conic of X(1054) X(39335) Tucker parameter X(13323)
Terquem conjugate X(8043) tri-equilateral inner/outer circles X(10631) trilinear products of circumcircle-P-antipodes X(36033) two-parallels points X(47371)
Terzic circle X(41155) tri-equilateral inner/outer triangles X(10631) trilinear squares X(23993)

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-Moses points X(5002) Warren reflection circles X(67714) Wolk perspector X(5506)
Wabash center X(364) Warren G-circle X(67212) Warren reflection triangle X(67624) Wolk-Feuerbach point X(5532)
Walsmith points X(5000) Warren G-circle X(67225) Wasat triangle X(21616)
Walsmith rectangular hyperbola X(32110) Warren H-circle X(67212) Weill point X(354)
Walsmith triangle X(32217) Warren reflection circle X(67624) 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)