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in 1986. This is one of the recent triangle centers, unlike the classical triangle centers like
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453:{\displaystyle a(b^{4}+c^{4}-a^{4}):b(c^{4}+a^{4}-b^{4}):c(a^{4}+b^{4}-c^{4})}
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be the vertex opposite to the side formed by the tangent at the vertex
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be the vertex opposite to the side formed by the tangent at the vertex
248:
be the vertex opposite to the side formed by the tangent at the vertex
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103:
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47:. This was discovered in a computers-in-mathematics workshop at
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500:. So there are 6 points collinear over one only line.
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formed by intersection of medians with circumcircle
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27:is a special point associated with a plane
746:List of Phillips Exeter Academy principals
629:
615:
520:"Encyclopedia of Triangle Centers: X(22)"
184:The Exeter point is defined as follows.
591:. From MathWorld--A Wolfram Web Resource
538:
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715:List of Phillips Exeter Academy alumni
564:
542:
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276:. The point of concurrence is the
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851:
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162: Lines joining vertices of
45:Encyclopedia of Triangle Centers
654:Phillips Exeter Academy Library
195:be any given triangle. Let the
669:Front Street Historic District
580:
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476:(the line passing through the
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468:The Exeter point of triangle
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788:Eight Schools Association
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79: Reference triangle
300:of the Exeter point are
639:Phillips Exeter Academy
237:to the circumcircle of
49:Phillips Exeter Academy
767:Andover–Exeter rivalry
736:and Elizabeth Phillips
454:
181:
687:Student organizations
455:
298:trilinear coordinates
292:Trilinear coordinates
268:.) The lines through
199:through the vertices
74:
35:and is designated as
306:
587:Weisstein, Eric W.
565:Kimberling, Clark.
543:Kimberling, Clark.
518:Kimberling, Clark.
486:de Longchamps point
142:Tangential triangle
819:Advanced Placement
814:School Year Abroad
567:"Triangle centers"
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218:respectively. Let
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827:
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840:Triangle centers
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41:Clark Kimberling
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127: Triangle
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33:triangle center
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16:Triangle center
12:
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804:Harkness table
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741:William Rawson
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659:Lamont Gallery
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589:"Exeter Point"
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545:"Exeter Point"
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496:) of triangle
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229:formed by the
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15:
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2:
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734:John Phillips
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270:DA', EB', FC'
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61:Steiner point
58:
54:
50:
46:
42:
38:
34:
30:
26:
22:
809:Exeter point
808:
776:Affiliations
693:
593:. Retrieved
582:
570:. Retrieved
560:
548:. Retrieved
523:. Retrieved
513:
497:
494:circumcenter
490:Euler centre
472:lies on the
469:
302:
295:
283:
278:Exeter point
277:
240:
227:the triangle
221:
210:
205:circumcircle
191:
183:
178:Exeter point
177:
176:; concur at
172:
165:
153:
146:
130:
118:
113:Circumcircle
102:; concur at
98:
82:
36:
25:Exeter point
24:
18:
783:G30 Schools
695:The Exonian
482:orthocenter
739:Principal
664:Exeter Inn
505:References
474:Euler line
463:Properties
274:concurrent
216:A', B', C'
67:Definition
31:. It is a
755:Athletics
732:Founders
435:−
387:−
339:−
203:meet the
834:Category
492:and the
478:centroid
231:tangents
104:centroid
57:incenter
53:centroid
39:(22) in
29:triangle
21:geometry
724:Faculty
244:. (Let
235:A, B, C
201:A, B, C
197:medians
173:A'B'C'
131:A'B'C'
93:Medians
762:NEPSAC
710:Alumni
647:Campus
595:24 May
572:24 May
550:24 May
525:24 May
488:, the
484:, the
480:, the
260:, and
160:
140:
138:
125:
111:
109:
91:
89:
77:
59:, and
23:, the
797:Misc.
701:WPEA
597:2012
574:2012
552:2012
527:2012
296:The
272:are
188:Let
169:and
498:ABC
470:ABC
284:ABC
280:of
241:ABC
233:at
225:be
222:DEF
214:at
211:ABC
207:of
192:ABC
166:DEF
154:ABC
150:of
147:DEF
119:ABC
115:of
99:ABC
95:of
83:ABC
43:'s
19:In
836::
535:^
252:,
63:.
55:,
630:e
623:t
616:v
599:.
576:.
554:.
529:.
448:)
443:4
439:c
430:4
426:b
422:+
417:4
413:a
409:(
406:c
403::
400:)
395:4
391:b
382:4
378:a
374:+
369:4
365:c
361:(
358:b
355::
352:)
347:4
343:a
334:4
330:c
326:+
321:4
317:b
313:(
310:a
287:.
282:△
266:C
262:F
258:B
254:E
250:A
246:D
239:△
220:△
209:△
190:△
171:△
164:△
152:△
145:△
129:△
117:△
97:△
81:△
37:X
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