Sauda,c~oes,
Como construir (obter) o ponto D ? A figura encontra-se no anexo (arquivo jpg). Espero que ele a mostre. Abs, L. ________________________________ [Attachment(s) from Antreas Hatzipolakis included below] Nguyen Minh Tuan? wrote in a FB group (*): Let ABC be a triangle and D a point such that the circles inscribed in the triangles ABD, BCD, and CAD pairwise touch each other. On lines BC, CA, AB, AD, BD, CD, denote the touching points by A1, B1, C1, A2, B2, C2, resp. Let lines B1C2 and B2C1 meet at E and let lines A1C2 and A2C1 meet at F . Show that the lines AF , BE and C1D are concurrent. ***************** Let's replace E = B1C2 intersection B2C1 with Cb and F = A1C2 intersection A2C1 with Ca. Let C* be the point of concurrence of ACa , BCb and C1D. Similarly A* and B*. Are the triangles ABC, A*B*C* perspective? APH (*) https://www.facebook.com/photo.php?fbid=1520551351291936&set=gm.1211999208873251&type=3&theater __._,_.___ Attachment(s) from Antreas Hatzipolakis | View attachments on the web <https://groups.yahoo.com/neo/groups/Anopolis/attachments/1783365523;_ylc=X3oDMTJxdWVxMG1sBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BHNlYwNhdHRhY2htZW50BHNsawN2aWV3T25XZWIEc3RpbWUDMTQ3NjUzMDUwMA--> 1 of 1 Photo(s) [$$1.jpg]<https://groups.yahoo.com/neo/groups/Anopolis/attachments/1783365523;_ylc=X3oDMTJtdDFoazkzBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BHNlYwNhdHRhY2htZW50BHNsawNwaG90bwRzdGltZQMxNDc2NTMwNTAw?itemid=2017384020> $$1.jpg<https://groups.yahoo.com/neo/groups/Anopolis/attachments/1783365523;_ylc=X3oDMTJtdDFoazkzBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BHNlYwNhdHRhY2htZW50BHNsawNwaG90bwRzdGltZQMxNDc2NTMwNTAw?itemid=2017384020> ________________________________ ________________________________ Reply via web post<https://groups.yahoo.com/neo/groups/Anopolis/conversations/messages/4163;_ylc=X3oDMTJwdjJobGZjBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BG1zZ0lkAzQxNjMEc2VjA2Z0cgRzbGsDcnBseQRzdGltZQMxNDc2NTMwNTAw?act=reply&messageNum=4163> * Reply to sender <mailto:anopoli...@gmail.com?subject=Re%3A%20Three%20circles%20in%20a%20triangle> * Reply to group <mailto:anopo...@yahoogroups.com?subject=Re%3A%20Three%20circles%20in%20a%20triangle> * Start a New Topic<https://groups.yahoo.com/neo/groups/Anopolis/conversations/newtopic;_ylc=X3oDMTJldTRrYWxwBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BHNlYwNmdHIEc2xrA250cGMEc3RpbWUDMTQ3NjUzMDUwMA--> * Messages in this topic<https://groups.yahoo.com/neo/groups/Anopolis/conversations/topics/4163;_ylc=X3oDMTM0M2NobmNnBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BG1zZ0lkAzQxNjMEc2VjA2Z0cgRzbGsDdnRwYwRzdGltZQMxNDc2NTMwNTAwBHRwY0lkAzQxNjM-> (1) ________________________________ Check out the automatic photo album with 1 photo(s)<https://groups.yahoo.com/neo/groups/Anopolis/photos/photomatic/1900981161;_ylc=X3oDMTE4M3R1OW82BF9TAzk3MzU5NzE0BGNmOQNQSE9UT01BVElDBHNlYwNtZWdhcGhvbmU-> from this topic. [$$1.jpg] <https://groups.yahoo.com/neo/groups/Anopolis/photos/photomatic/1900981161;_ylc=X3oDMTE4M3R1OW82BF9TAzk3MzU5NzE0BGNmOQNQSE9UT01BVElDBHNlYwNtZWdhcGhvbmU-> ________________________________ [https://s.yimg.com/ru/static/images/yg/img/megaphone/1464031581_phpFA8bON] Have you tried the highest rated email app?<https://yho.com/1wwmgg> With 4.5 stars in iTunes, the Yahoo Mail app is the highest rated email app on the market. What are you waiting for? Now you can access all your inboxes (Gmail, Outlook, AOL and more) in one place. Never delete an email again with 1000GB of free cloud storage. ________________________________ Visit Your Group<https://groups.yahoo.com/neo/groups/Anopolis/info;_ylc=X3oDMTJlYmVpMjRqBF9TAzk3MzU5NzE0BGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BHNlYwN2dGwEc2xrA3ZnaHAEc3RpbWUDMTQ3NjUzMDUwMA--> [Yahoo! Groups]<https://groups.yahoo.com/neo;_ylc=X3oDMTJkNDFsc3U5BF9TAzk3NDc2NTkwBGdycElkAzMyNTY0OTEEZ3Jwc3BJZAMxNzA1MDgzMzg2BHNlYwNmdHIEc2xrA2dmcARzdGltZQMxNDc2NTMwNTAx> * Privacy<https://info.yahoo.com/privacy/us/yahoo/groups/details.html> * Unsubscribe<mailto:anopolis-unsubscr...@yahoogroups.com?subject=Unsubscribe> * Terms of Use<https://info.yahoo.com/legal/us/yahoo/utos/terms/> . __,_._,___ -- Esta mensagem foi verificada pelo sistema de antivírus e acredita-se estar livre de perigo.