Alphabetical index of terms in ETC

César E. Lozada - December 23, 2019
Last update: 2024-09-01 - Revision 16 up to X(65150) - Total references: 1134

                                                                          





A

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

B

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

C

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

D

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

E

Ehrmann 2nd triangle X(8537) elestrostatic potential center X(5626) Euler infinity point X(30) Evans perspector, 1st X(484)
Ehrmann circle and A, B-,C- Ehrmann circles X(8537) ellipsologig centers X(34773) Euler line intercepts 37009-37127 X(37009) Evans perspectors X(1276)
Ehrmann congruent squares point X(1144) endo homothetic centers X(7581) Euler line intercepts 37144-37201 X(37144) Evans point X(1374)
Ehrmann pivots / triangles X(18300) Eppstein points X(481) Euler line intercepts 37224-37468 X(37224) even infinity point X(696)
Ehrmann point, 3rd X(1145) 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 points X(973) 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) extouch triangles 2nd to 5th X(5927)
eigencenters of circumcevian/circumanticevian triangles X(39412) equicenters X(38344) Euler-Vecten-Gibert points X(2041) extra triangles X(7001)
eigentransform X(2120) equilateral cevian triangle point X(370) eulerologic centers 2 X(16189)
Electra triangles X(45216) ET(U) X(2120) eulerologic triangles and centers X(10237)
Electra(B) triangles X(45196) Euler coordinates X(47090) Evans conic, points on X(41943)

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 Capitan circles X(11065) Gibert (i,j,k) points X(42085) Gibert points on the cubic K1225 X(43324) Grebe circle X(33703)
García inner and outer triangles X(5587) Gibert -Neuberg perspectors X(8172) Gibert points on the cubic K1226 X(43364) Grebe point X(6)
García points X(5550) Gibert circumtangential conjugates X(8616) Gibert points on the cubic K1228 X(43397) Greenhill circle X(11041)
García reflection triangle X(15995) 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) IO line intercepts 37520-37625 X(37520)
incenter X(1) infinity-incircle-transform X(47006) inverse triangles and anti- triangles X(45345) isodynamic points X(15)
incircle transform X(3318) inner Vecten point X(486) inverse-in-Conway circle triangle X(10439) isodynamic-Dao equilateral triangles X(16802)
incircle-circles triangle X(11034) inscribed conics, centers X(52526) inverse-in-excircles triangle X(8055) isodynamic-Dao equilateral triangles, 3rd & 4th X(31683)
Incircle-inverses of points on the Euler line X(51615) inscribed conics, perspectors X(52549) inverse-in-incircle triangle X(5571) isogonal conjugates and isotomic conjugates X(44159)
inconics through two given points X(59437) Intersection of radical axes involving apollonian circles X(50645) inverses of points on the Euler line in permutation ellipse X(44575) isogonic points X(13)
inconics, 4th tangent line X(52302) intersections of inconics X(24973) inverses of triangles Gemini 15 and 16 X(43213) isoperimetric point X(175)
inconics, perspectors X(18810) intriangles and extriangles centers X(30514) inverter of rwo circles X(5577) isoscelicer points X(503)
infinite difference point X(23870) inverse Gemini triangles X(43260) 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) Kiss-Moses mapping X(43390)
K1151, points of the cubic X(36926) Kenmotu-centers triangles, related centers X(49208) Kiepert-cevian conjugate X(54449) KM and MK special perspectors X(43803)
K229 Moses images X(23342) Kenmotu-Van Lamoen points X(588) Kimberling-Pavlov conjugate X(55917) KM and MK special perspectors X(43816)
K244 Moses images X(23097) KHM cubic X(14459) Kirikami concurrent circles images X(5503) KM and MK special perspectors X(43845)
K616 - related locus X(52448) KHM(P) X(14459) Kirikami concurrent circles images, 2nd kind X(5508) KM triangles X(43584)
K635 Moses images X(23352) Kiepert antipode X(114) Kirikami points X(3640) Kosnita point X(54)
Kenmotu diagonal triangles X(31) Kiepert cevian triangle X(4444) Kirikami six circles image X(5509) Koutras-Hatzipolakis-Moses points X(14459)
Kenmotu free vertices triangle, 1st X(12375) Kiepert image X(13486) Kirikami-Euler image X(5485) KS(U) X(3647)
Kenmotu free vertices triangle, 2nd X(12376) Kiepert infinity points X(3413) Kirikami-Euler-Lemoine points X(5621)
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-Feuerbach circumhyperbola X(60478)
MacBeath points X(2967) mixed polar line X(55179) Montesdeoca-Hung triangle X(6042) Moses-Hung triangle X(6044)
MacBeath-Simmons circles X(45256) mixtilinear incentral triangle X(7955) Montesdeoca-Lemoine circles X(8160) Moses-Hung-circle X(6044)
Maia points X(552) mixtilinear triangles X(7955) Morley center X(356) Moses-Jerabek conic X(34426)
Malfatti perspector, inner X(46891) mixtilinear triangles 8th and 9th X(44840) Morley conic X(16271) Moses-Kirikami image X(3589)
Malfatti perspector, outer X(46892) Miyamoto (k)-perspector X(61152) Morley midpoint triangles X(3602) Moses-Lemoine conic X(34426)
Malfatti-Rabinowitz points X(1142) Miyamoto-(T, k) perspector X(61152) Morley-adjunct-midpoint triangles X(16839) Moses-Lucas circles X(6522)
Malfatti-touchpoints triangle X(46876) Miyamoto-Lozada centers X(50032) Morley-Gibert perspectors X(3608) Moses-Parry circle X(8428)
maltitudes X(10276) Miyamoto-Lozada circle, 1st X(53002) Morley-Gibert points X(1507) Moses-Soddy triangle X(44311)
Mandart-excircles triangles X(10974) Miyamoto-Lozada circle, 2nd X(53003) Morley-Kirikami points X(5454) Moses-Steiner ellipse X(6069)
Mandart-incircle triangle X(6018) Miyamoto-Lozada perspector X(53004) Morley-Taylor-Marr centers, 1st and 2nd X(357) Moses-Steiner image X(6069)
McCay triangle X(7606) Miyamoto-mixtilinear related centers X(64446) Morley-Taylor-Marr centers, 3rd to 6th X(1134) Moses-Steiner ortho-image X(6069)
mid-arc points X(177) Miyamoto-Moses circle X(53006) Morley-Van Tienhoven points X(5628) Moses-Steiner reflection triangle X(34505)
mid-cevian cubics X(36814) Miyamoto-Moses points X(52805) Moses circle X(1015) Moses-Steiner tangential-image X(6069)
mid-cevian cubics X(36871) Miyamoto-Moses triangle X(52805) Moses code X(17226) Moses-Yff image X(14163)
mid-trace triangles X(36810) Miyamoto-Moses-Apollonius circle, 5th X(64798) Moses conics X(36949) MR conics X(46681)
mid-triangles X(10290) Miyamoto-Moses-Apollonius circles X(52805) Moses hull circle X(6048) Muscovite points X(41890)
midcevian triangles X(40674) Miyamoto-Moses-Apollonius triangles X(52805) Moses osculatory triangle X(34505) mutual polar conic X(32559)
midpoints of X(2) and other points X(45310) MJC Moses-Jerabek conic X(34426) Moses points on the Euler line t-uplas X(17669) mutual-reflections conic X(46681)
midpoints of X(2) and other points X(45657) MLC Moses-Lemoine conic X(34426) Moses radical circle X(6111) Myakishev conic X(3588)
midpoints on the Euler line X(44210) Montesdeoca conic X(5702) Moses-Apollonius ellipse X(34453)
Mimosa transform X(1707) Montesdeoca degenerate conics point X(8183) Moses-Apollonius transform X(52805)
Miquel point X(501) Montesdeoca equilateral triangles X(5618) Moses-Euler Point X(14030)

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

P

P-Fuhrmann triangles X(5613) pedal triangle of the centroid X(40670) points in a [X(2)X(513), X(2)X(523)] coordinate system X(48156) Points on the Euler line X(50318)
P-pedal triangle of Q X(64693) pending preamble... X(50743) points in a [X(2)X(513), X(2)X(523)] coordinate system X(48382) Points on the Helman line X(51640)
Paache-Myakishev ellipse X(5393) pending preamble... X(50796) points in a [X(514)X(661), X(523)X(661)] coordinate system X(48264) points on the line at infinity X(64855)
Paache-Myakishev-Moses conic X(5405) pending preamble... X(50876) 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)
Paasche conic X(37861) pending preamble... X(50949) 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)
Paasche ellipse, associated points X(37994) pending preamble... X(51034) 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 point X(1123) pentagon points X(1139) 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 triangles, associated points X(39311) permutation ellipse X(35025) 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-Hutson triangle X(37994) permutation ellipse E(X(4440)) X(39345) Points in a [[bc,ca,ab], [b-c,c-a,a-b]] coordinate system X(49979) polar circle, inverses in X(52458)
Pamphilos-Zou triangles X(7594) permutation ellipse of X(6), points on X(35963) Points in some coordinates system X(50010) polar co-center point X(19901)
Panchapakesan circles X(46001) permutation ellipses of X(1), points on X(36215) Points in some coordinates system X(50041) polar co-centric triangles X(19901)
Pappus pivot X(6179) permutation ellipses, inverses in X(41133) Points in some coordinates system X(50074) polar reciprocal conics X(34936)
Pappus points X(3557) perspeconics X(15254) Points in some coordinates system X(50144) polarologic centers X(42287)
Pappus points X(46894) perspeconics X(34807) Points in some coordinates system X(50153) polelogic centers X(42287)
para-perspective triangles X(45695) perspectors involving the García-Moses triangle X(51504) Points in some coordinates system X(50215) poles of named lines wrt named circles X(44408)
parallelogic conic / parallelogic tangential-conic X(31353) perspectors of inconics X(18810) Points in some coordinates system X(50247) power curve X(40297)
parallels-perspeconic X(42819) PK transform X(2081) Points in some coordinates system X(50256) power curve, Ceva conjugates associated X(40359)
parallels-tangential-conics X(37869) Płatek circle X(64499) Points in some coordinates system X(50281) power curve, complements and anticomplements associated X(40376)
parapoint X(40843) Pohoata point X(3333) Points in some coordinates system X(50326) power point, 4th X(560)
paratriangles X(40843) Pohoata-Dao-Moses circles X(5607) Points in some coordinates system X(50449) power points X(31)
paratriangles X(40853) points associated with the cubic pK(X(50),X(1)) X(35197) Points in some coordinates system X(50481) Prasolov point X(68)
Parry 2nd and 3rd triangles X(9123) Points in a coordinate system X(49716) Points in some coordinates system X(50538) Privalov conic X(5451)
Parry circle X(351) points in a [Brocard axis, Euler line] coordinate system X(48872) Points in some coordinates system X(50575) product triangles X(42285)
Parry point X(111) Points in a [Euler line, Brocard axis] coordinate system X(48915) Points in some coordinates system X(50771) product triangles X(42464)
Parry reflection point X(399) 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-Pohoata point X(399) 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-Pohoata point X(8157) 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)
Pavlov triangles X(63254) 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)
Pavlov-Altintaş triangle, 1st X(64522) 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)
pedal antipodal perspector X(2) 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)
pedal circle chordal perspector X(60788) 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)
pedal conic chordal perspector X(60788) 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)

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

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 lines, trilinear poles of X(39274) Vijay-Paasche tangents perspector X(37884) Vu isogonal perspectors X(39453)
V- transform / V transforms on the circumcircle X(36514) Vietnamese points X(39177) Vijay-Paasche-Hutson triangles X(37994) Vu orthogonal conics X(40306)
V-perspeconics X(45188) Vijay ellipses X(44733) Vijay-Paasche-Hutson triangles X(38487) Vu P-cirumcircle points X(38451)
Van Lamoen circle X(1153) Vijay incentral circles and excentral circles X(44039) Vijay-Paasche-Hutson triangles, associated points X(39607) Vu parallels conics X(40197)
Van Lamoen circumcenters point X(592) Vijay orthic medial circles and triangles X(45979) Vu (k)-conics X(38433) Vu PCC perspectors X(38900)
Van Lamoen homothetic centers X(493) Vijay orthic medial conic X(45979) Vu (P,U)-circles X(38457) Vu pedal translations X(38005)
Van Lamoen perpendicular bisectors point, 1st X(591) 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)
Vietnamese circles X(39210) Vijay-Paasche midpoints perspector X(37881) Vu isodynamicpPerspectors X(39402)

W

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)
Walsmith rectangular hyperbola X(32110) Wasat triangle X(21616) Wolk perspector X(5506)

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)