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X₂₂₅₅–X₂₃₆₄¶

Isotomic Conjugates (X₂-Isoconjugates) II

Isotomic conjugates (X₂-isoconjugates) of triangle centers X₉₀₁ through X₂₀₉₉.

X₂₂₅₅–X₂₃₆₄ (Isotomic Conjugates (X₂-Isoconjugates) II) — 16 representative centers (from 110 in collection) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

X_2255 — X_2-ISOCONJUGATE OF X_923

X₂₂₅₅-ISOCONJUGATE OF X₉₂₃

X_2256 — X_2-ISOCONJUGATE OF X_937

X₂₂₅₆-ISOCONJUGATE OF X₉₃₇

X₂₂₅₆ = crosssum of X₁ and X₂₂₅₇

X_2257 — X_2-ISOCONJUGATE OF X_939

X₂₂₅₇-ISOCONJUGATE OF X₉₃₉

X_2258 — X_2-ISOCONJUGATE OF X_940

X₂₂₅₈-ISOCONJUGATE OF X₉₄₀

X₂₂₅₈ = crosspoint of X₉₄₁ and X₉₅₉

X_2259 — X_2-ISOCONJUGATE OF X_942

X₂₂₅₉-ISOCONJUGATE OF X₉₄₂

X₂₂₅₉ = X₆₆₁-cross conjugate of X₁₀₁

X_2260 — X_2-ISOCONJUGATE OF X_943

X₂₂₆₀-ISOCONJUGATE OF X₉₄₃

X_2261 — X_2-ISOCONJUGATE OF X_945

X₂₂₆₁-ISOCONJUGATE OF X₉₄₅

X_2262 — X_2-ISOCONJUGATE OF X_947

X₂₂₆₂-ISOCONJUGATE OF X₉₄₇

X₂₂₆₂ = intersection of tangents to hyperbola {{A, B, C,X₄,X₄₀,X₅₇}} at X₄ and X₅₇

X_2263 — X_2-ISOCONJUGATE OF X_949

X₂₂₆₃-ISOCONJUGATE OF X₉₄₉

X_2264 — X_2-ISOCONJUGATE OF X_951

X₂₂₆₄-ISOCONJUGATE OF X₉₅₁

X_2265 — X_2-ISOCONJUGATE OF X_953

X₂₂₆₅-ISOCONJUGATE OF X₉₅₃

X₂₂₆₅ = crosssum of X₁ and X₂₂₆₅

X_2266 — X_2-ISOCONJUGATE OF X_955

X₂₂₆₆-ISOCONJUGATE OF X₉₅₅

X_2267 — X_2-ISOCONJUGATE OF X_957

X₂₂₆₇-ISOCONJUGATE OF X₉₅₇

X_2268 — X_2-ISOCONJUGATE OF X_959

X₂₂₆₈-ISOCONJUGATE OF X₉₅₉

X₂₂₆₈ = {X₃₇,X₄₈}-harmonic conjugate of X₉₃₁₀

X_2269 — X_2-ISOCONJUGATE OF X_961

X₂₂₆₉-ISOCONJUGATE OF X₉₆₁

X_2270 — X_2-ISOCONJUGATE OF X_963

X₂₂₇₀-ISOCONJUGATE OF X₉₆₃

X₂₂₇₀ = X₁₈₉-Ceva conjugate of X₁

X_2271 — X_2-ISOCONJUGATE OF X_969

X₂₂₇₁-ISOCONJUGATE OF X₉₆₉

X_2272 — X_2-ISOCONJUGATE OF X_972

X₂₂₇₂-ISOCONJUGATE OF X₉₇₂

X₂₂₇₂ = crosspoint of X₅₇ and X₁₀₃

X_2273 — X_2-ISOCONJUGATE OF X_977

X₂₂₇₃-ISOCONJUGATE OF X₉₇₇

X_2274 — X_2-ISOCONJUGATE OF X_981

X₂₂₇₄-ISOCONJUGATE OF X₉₈₁

X_2275 — X_2-ISOCONJUGATE OF X_983

X₂₂₇₅-ISOCONJUGATE OF X₉₈₃

X₂₂₇₅ = isogonal conjugate of X₁₇₇₄₃

X_2276 — X_2-ISOCONJUGATE OF X_985

X₂₂₇₆-ISOCONJUGATE OF X₉₈₅

X₂₂₇₆ = crosspoint of X₂ and X₁₀₀₂

X_2277 — X_2-ISOCONJUGATE OF X_987

X₂₂₇₇-ISOCONJUGATE OF X₉₈₇

X₂₂₇₇ = crosspoint of X₂ and X₉₅₉

X_2278 — X_2-ISOCONJUGATE OF X_994

X₂₂₇₈-ISOCONJUGATE OF X₉₉₄

X₂₂₇₈ = inverse-in-Brocard-circle of X₂₂₄₅

X_2279 — X_2-ISOCONJUGATE OF X_1001

X₂₂₇₉-ISOCONJUGATE OF X₁₀₀₁

X₂₂₇₉ = X₈₆₉-cross conjugate of X₁

X_2280 — X_2-ISOCONJUGATE OF X_1002

X₂₂₈₀-ISOCONJUGATE OF X₁₀₀₂

X₂₂₈₀ = X₉₈₅-Ceva conjugate of X₃₁

X_2281 — X_2-ISOCONJUGATE OF X_1010

X₂₂₈₁-ISOCONJUGATE OF X₁₀₁₀

X₂₂₈₁ = X₂₂₂₁-Ceva conjugate of X₁₂₄₅

X_2282 — X_2-ISOCONJUGATE OF X_1011

X₂₂₈₂-ISOCONJUGATE OF X₁₀₁₁

X_2283 — X_2-ISOCONJUGATE OF X_1024

X₂₂₈₃-ISOCONJUGATE OF X₁₀₂₄

X₂₂₈₃ = isogonal conjugate of X₈₈₅

X_2284 — X_2-ISOCONJUGATE OF X_1027

X₂₂₈₄-ISOCONJUGATE OF X₁₀₂₇

X₂₂₈₄ = cevapoint of X₆₆₅ and X₆₇₂

X_2285 — X_2-ISOCONJUGATE OF X_1036

X₂₂₈₅-ISOCONJUGATE OF X₁₀₃₆

X₂₂₈₅ = crosssum of X₉ and X₁₆₉₇

X_2286 — X_2-ISOCONJUGATE OF X_1039

X₂₂₈₆-ISOCONJUGATE OF X₁₀₃₉

X_2287 — X_2-ISOCONJUGATE OF X_1042

X₂₂₈₇-ISOCONJUGATE OF X₁₀₄₂

X₂₂₈₇ = isogonal conjugate of X₁₄₂₇

X_2288 — X_2-ISOCONJUGATE OF X_1065

X₂₂₈₈-ISOCONJUGATE OF X₁₀₆₅

X_2289 — X_2-ISOCONJUGATE OF X_1118

X₂₂₈₉-ISOCONJUGATE OF X₁₁₁₈

X₂₂₈₉ = X₃₉₄-Ceva conjugate of X₂₅₅

X_2290 — X_2-ISOCONJUGATE OF X_1141

X₂₂₉₀-ISOCONJUGATE OF X₁₁₄₁

X_2291 — X_2-ISOCONJUGATE OF X_1155

X₂₂₉₁-ISOCONJUGATE OF X₁₁₅₅

X₂₂₉₁ = isogonal conjugate of X₅₂₇

X_2292 — X_2-ISOCONJUGATE OF X_1169

X₂₂₉₂-ISOCONJUGATE OF X₁₁₆₉

X₂₂₉₂ = anticomplement wrt incentral triangle of X₁

X_2293 — X_2-ISOCONJUGATE OF X_1170

X₂₂₉₃-ISOCONJUGATE OF X₁₁₇₀

X₂₂₉₃ = crossdifference of every pair of points on line X₅₁₄X₆₅₇

X_2294 — X_2-ISOCONJUGATE OF X_1175

X₂₂₉₄-ISOCONJUGATE OF X₁₁₇₅

X_2295 — X_2-ISOCONJUGATE OF X_1178

X₂₂₉₅-ISOCONJUGATE OF X₁₁₇₈

X₂₂₉₅ = complement of X₁₇₁₅₂

X_2296 — X_2-ISOCONJUGATE OF X_1185

X₂₂₉₆-ISOCONJUGATE OF X₁₁₈₅

X_2297 — X_2-ISOCONJUGATE OF X_1191

X₂₂₉₇-ISOCONJUGATE OF X₁₁₉₁

X₂₂₉₇ = isogonal conjugate of X₂₉₉₉

X_2298 — X_2-ISOCONJUGATE OF X_1193

X₂₂₉₈-ISOCONJUGATE OF X₁₁₉₃

X₂₂₉₈ = isogonal conjugate of X₃₆₆₆

X_2299 — X_2-ISOCONJUGATE OF X_1214

X₂₂₉₉-ISOCONJUGATE OF X₁₂₁₄

X₂₂₉₉ = crosssum of X₇₂ and X₁₂₁₄

X_2300 — X_2-ISOCONJUGATE OF X_1220

X₂₃₀₀-ISOCONJUGATE OF X₁₂₂₀

X₂₃₀₀ = perspector of unary cofactor triangles of Gemini triangles 39 and 40

X_2301 — X_2-ISOCONJUGATE OF X_1242

X₂₃₀₁-ISOCONJUGATE OF X₁₂₄₂

X_2302 — X_2-ISOCONJUGATE OF X_1243

X₂₃₀₂-ISOCONJUGATE OF X₁₂₄₃

X_2303 — X_2-ISOCONJUGATE OF X_1245

X₂₃₀₃-ISOCONJUGATE OF X₁₂₄₅

X_2304 — X_2-ISOCONJUGATE OF X_1246

X₂₃₀₄-ISOCONJUGATE OF X₁₂₄₆

X_2305 — X_2-ISOCONJUGATE OF X_1247

X₂₃₀₅-ISOCONJUGATE OF X₁₂₄₇

X₂₃₀₅ = X₁₄₀₀-Ceva conjugate of X₆

X_2306 — X_2-ISOCONJUGATE OF X_1250

X₂₃₀₆-ISOCONJUGATE OF X₁₂₅₀

X₂₃₀₆ = X₁₀₈₁-Ceva conjugate of X₁₂₅₁

X_2307 — X_2-ISOCONJUGATE OF X_1251

X₂₃₀₇-ISOCONJUGATE OF X₁₂₅₁

X₂₃₀₇ = X₁₀₈₂-Ceva conjugate of X₁₂₅₀

X_2308 — X_2-ISOCONJUGATE OF X_1255

X₂₃₀₈-ISOCONJUGATE OF X₁₂₅₅

X₂₃₀₈ = isogonal conjugate of X₁₂₆₈

X_2309 — X_2-ISOCONJUGATE OF X_1258

X₂₃₀₉-ISOCONJUGATE OF X₁₂₅₈

X₂₃₀₉ = X₉₉-Ceva conjugate of X₆₄₉

X_2310 — X_2-ISOCONJUGATE OF X_1262

X₂₃₁₀-ISOCONJUGATE OF X₁₂₆₂

X₂₃₁₀ = trilinear square of X₆₅₀

X_2311 — X_2-ISOCONJUGATE OF X_1284

X₂₃₁₁-ISOCONJUGATE OF X₁₂₈₄

X₂₃₁₁ = polar conjugate of isotomic conjugate of X₁₈₀₈

X_2312 — X_2-ISOCONJUGATE OF X_1297

X₂₃₁₂-ISOCONJUGATE OF X₁₂₉₇

X₂₃₁₂ = X₂₉₃-Ceva conjugate of X₃₁

X_2313 — X_2-ISOCONJUGATE OF X_1298

X₂₃₁₃-ISOCONJUGATE OF X₁₂₉₈

X₂₃₁₃ = crosssum of X₁ and X₂₃₁₃

X_2314 — X_2-ISOCONJUGATE OF X_1299

X₂₃₁₄-ISOCONJUGATE OF X₁₂₉₉

X_2315 — X_2-ISOCONJUGATE OF X_1300

X₂₃₁₅-ISOCONJUGATE OF X₁₃₀₀

X₂₃₁₅ = X₂₁₅₉-Ceva conjugate of X₄₈

X_2316 — X_2-ISOCONJUGATE OF X_1319

X₂₃₁₆-ISOCONJUGATE OF X₁₃₁₉

X₂₃₁₆ is the perspector of the anticevian triangle of X₁₀₆ and the unary cofactor triangle of the intangents triangle, and also the perspector of ABC and the unary cofactor triangle of Gemini triangle 9. (Randy Hutson, November 30, 2018)

X_2317 — X_2-ISOCONJUGATE OF X_1389

X₂₃₁₇-ISOCONJUGATE OF X₁₃₈₉

X_2318 — X_2-ISOCONJUGATE OF X_1396

X₂₃₁₈-ISOCONJUGATE OF X₁₃₉₆

X₂₃₁₈ = X₇₂-Ceva conjugate of X₇₁

X_2319 — X_2-ISOCONJUGATE OF X_1403

X₂₃₁₉-ISOCONJUGATE OF X₁₄₀₃

X₂₃₁₉ = isogonal conjugate of X₁₄₂₃

X_2320 — X_2-ISOCONJUGATE OF X_1405

X₂₃₂₀-ISOCONJUGATE OF X₁₄₀₅

X₂₃₂₀ = isogonal conjugate of X₂₀₉₉

X_2321 — X_2-ISOCONJUGATE OF X_1408

X₂₃₂₁-ISOCONJUGATE OF X₁₄₀₈

X₂₃₂₁ = isogonal conjugate of X₁₄₁₂

X_2322 — X_2-ISOCONJUGATE OF X_1410

X₂₃₂₂-ISOCONJUGATE OF X₁₄₁₀

X₂₃₂₂ = X₉-cross conjugate of X₂₂₈₇

X_2323 — X_2-ISOCONJUGATE OF X_1411

X₂₃₂₃-ISOCONJUGATE OF X₁₄₁₁

X₂₃₂₃ = crosspoint of X₂₈₄ and X₂₃₁₆

X_2324 — X_2-ISOCONJUGATE OF X_1413

X₂₃₂₄-ISOCONJUGATE OF X₁₄₁₃

X₂₃₂₄ = isogonal conjugate of X₁₄₂₂

X_2325 — X_2-ISOCONJUGATE OF X_1417

X₂₃₂₅-ISOCONJUGATE OF X₁₄₁₇

X₂₃₂₅ = complement of X₁₂₆₆

X_2326 — X_2-ISOCONJUGATE OF X_1425

X₂₃₂₆-ISOCONJUGATE OF X₁₄₂₅

X₂₃₂₆ = cevapoint of X₂₈₄ and X₁₁₇₂

X_2327 — X_2-ISOCONJUGATE OF (1426)

X₂₃₂₇-ISOCONJUGATE OF (1426)

X₂₃₂₇ = crosspoint of X₁₇₉₂ and X₁₈₁₂

X_2328 — X_2-ISOCONJUGATE OF X_1427

X₂₃₂₈-ISOCONJUGATE OF X₁₄₂₇

X₂₃₂₈ = X₂₂₀-cross conjugate of X₂₂₈₇

X_2329 — X_2-ISOCONJUGATE OF X_1431

X₂₃₂₉-ISOCONJUGATE OF X₁₄₃₁

X₂₃₂₉ = isogonal conjugate of X₁₄₃₂

X_2330 — X_2-ISOCONJUGATE OF X_1432

X₂₃₃₀-ISOCONJUGATE OF X₁₄₃₂

X₂₃₃₀ = X₁₇₁-Ceva conjugate of X₁₇₂

X_2331 — X_2-ISOCONJUGATE OF X_1433

X₂₃₃₁-ISOCONJUGATE OF X₁₄₃₃

X₂₃₃₁ = X₂₁₈₇-cross conjugate of X₄₀

X_2332 — X_2-ISOCONJUGATE OF X_1439

X₂₃₃₂-ISOCONJUGATE OF X₁₄₃₉

X₂₃₃₂ = X₂₃₂₂-Ceva conjugate of X₂₃₂₈

X_2333 — X_2-ISOCONJUGATE OF X_1444

X₂₃₃₃-ISOCONJUGATE OF X₁₄₄₄

X₂₃₃₃ = X₁₉₁₈-cross conjugate of X₄₂

X_2334 — X_2-ISOCONJUGATE OF X_1449

X₂₃₃₄-ISOCONJUGATE OF X₁₄₄₉

X₂₃₃₄ = X₁₁₉₁-cross conjugate of X₅₆

X_2335 — X_2-ISOCONJUGATE OF X_1451

X₂₃₃₅-ISOCONJUGATE OF X₁₄₅₁

X₂₃₃₅ = isogonal conjugate of X₃₇₅₄₃

X_2336 — X_2-ISOCONJUGATE OF X_1453

X₂₃₃₆-ISOCONJUGATE OF X₁₄₅₃

X₂₃₃₆ = crosssum of X₃₈₀ and X₁₄₅₃

X_2337 — X_2-ISOCONJUGATE OF X_1454

X₂₃₃₇-ISOCONJUGATE OF X₁₄₅₄

X_2338 — X_2-ISOCONJUGATE OF X_1456

X₂₃₃₈-ISOCONJUGATE OF X₁₄₅₆

X₂₃₃₈ = X₆₇₂-cross conjugate of X₉

X_2339 — X_2-ISOCONJUGATE OF X_1460

X₂₃₃₉-ISOCONJUGATE OF X₁₄₆₀

X₂₃₃₉ = isogonal conjugate of X₂₂₈₅

X_2340 — X_2-ISOCONJUGATE OF X_1462

X₂₃₄₀-ISOCONJUGATE OF X₁₄₆₂

X₂₃₄₀ = reflection of X₁₄₅₈ in X₁₈₁₈

X_2341 — X_2-ISOCONJUGATE OF X_1464

X₂₃₄₁-ISOCONJUGATE OF X₁₄₆₄

X₂₃₄₁ = polar conjugate of isotomic conjugate of X₁₇₉₃

X_2342 — X_2-ISOCONJUGATE OF X_1465

X₂₃₄₂-ISOCONJUGATE OF X₁₄₆₅

X₂₃₄₂ = X₁₀₄-Ceva conjugate of X₉₀₉

X_2343 — X_2-ISOCONJUGATE OF X_1467

X₂₃₄₃-ISOCONJUGATE OF X₁₄₆₇

X₂₃₄₃ = crosssum of X₁₄₆₇ and X₂₂₅₇

X_2344 — X_2-ISOCONJUGATE OF X_1469

X₂₃₄₄-ISOCONJUGATE OF X₁₄₆₉

X₂₃₄₄ = crosssum of X₁₄₆₉ and X₂₂₇₆

X_2345 — X_2-ISOCONJUGATE OF X_1472

X₂₃₄₅-ISOCONJUGATE OF X₁₄₇₂

X₂₃₄₅ = isogonal conjugate of X₂₂₂₁

X_2346 — X_2-ISOCONJUGATE OF X_1475

X₂₃₄₆-ISOCONJUGATE OF X₁₄₇₅

X₂₃₄₆ = isogonal conjugate of X₃₅₄

X_2347 — X_2-ISOCONJUGATE OF X_1476

X₂₃₄₇-ISOCONJUGATE OF X₁₄₇₆

X₂₃₄₇ = X₁₀₀-Ceva conjugate of X₆₆₃

X_2348 — X_2-ISOCONJUGATE OF X_1477

X₂₃₄₈-ISOCONJUGATE OF X₁₄₇₇

X₂₃₄₈ = X₁₀₅-Ceva conjugate of X₅₅

X_2349 — X_2-ISOCONJUGATE OF X_1495

X₂₃₄₉-ISOCONJUGATE OF X₁₄₉₅

X₂₃₄₉ = isogonal conjugate of X₂₁₇₃

X_2350 — X_2-ISOCONJUGATE OF X_1621

X₂₃₅₀-ISOCONJUGATE OF X₁₆₂₁

X_2351 — X_2-ISOCONJUGATE OF X_1748

X₂₃₅₁-ISOCONJUGATE OF X₁₇₄₈

X₂₃₅₁ = isogonal conjugate of X₃₁₇

X_2352 — X_2-ISOCONJUGATE OF X_1751

X₂₃₅₂-ISOCONJUGATE OF X₁₇₅₁

X₂₃₅₂ = X₂₈-Ceva conjugate of X₆

X_2353 — X_2-ISOCONJUGATE OF X_1760

X₂₃₅₃-ISOCONJUGATE OF X₁₇₆₀

X₂₃₅₃ = isogonal conjugate of X₃₁₅

X_2354 — X_2-ISOCONJUGATE OF X_1791

X₂₃₅₄-ISOCONJUGATE OF X₁₇₉₁

X₂₃₅₄ = X₁₈₄₈-Ceva conjugate of X₁₁₉₃

X_2355 — X_2-ISOCONJUGATE OF X_1796

X₂₃₅₅-ISOCONJUGATE OF X₁₇₉₆

X₂₃₅₅ = crosspoint of X₁₉ and X₂₈

X_2356 — X_2-ISOCONJUGATE OF X_1814

X₂₃₅₆-ISOCONJUGATE OF X₁₈₁₄

X₂₃₅₆ = crossdifference of every pair of points on line X₆₃X₆₅₂

X_2357 — X_2-ISOCONJUGATE OF X_1817

X₂₃₅₇-ISOCONJUGATE OF X₁₈₁₇

X₂₃₅₇ = X₈₄-Ceva conjugate of X₁₉₀₃

X_2358 — X_2-ISOCONJUGATE OF X_1819

X₂₃₅₈-ISOCONJUGATE OF X₁₈₁₉

X_2359 — X_2-ISOCONJUGATE OF X_1829

X₂₃₅₉-ISOCONJUGATE OF X₁₈₂₉

X₂₃₅₉ = isogonal conjugate of X₁₈₄₈

X_2360 — X_2-ISOCONJUGATE OF X_1903

X₂₃₆₀-ISOCONJUGATE OF X₁₉₀₃

X₂₃₆₀ = X₂₁-Ceva conjugate of X₅₈

X_2361 — X_2-ISOCONJUGATE OF X_2006

X₂₃₆₁-ISOCONJUGATE OF X₂₀₀₆

X_2362 — X_2-ISOCONJUGATE OF X_2066

X₂₃₆₂-ISOCONJUGATE OF X₂₀₆₆

X₂₃₆₂ = crosspoint of X₄ and X₁₁₂₃

X_2363 — X_2-ISOCONJUGATE OF X_2092

X₂₃₆₃-ISOCONJUGATE OF X₂₀₉₂

X₂₃₆₃ = isogonal conjugate of X₂₂₉₂

X_2364 — X_2-ISOCONJUGATE OF X_2099

X₂₃₆₄-ISOCONJUGATE OF X₂₀₉₉

X₂₃₆₄ = trilinear pole of line X₆₅₄X₆₆₃