Cho tam giác ABC" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">ABC có tâm ngoại tiếp O" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">O và tâm đường tròn Euler" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">Euler là N.D,E,F" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">N.D,E,F lần lượt là hình chiếu của N" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">N lên BC,CA,AB.M" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">BC,CA,AB.M là trung điểm ON.MD,ME,MF" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">ON.MD,ME,MF cắt EF,FD,DE" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">EF,FD,DE lần lượt tại X,Y,Z" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">X,Y,Z. Gọi P,Q,R" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">P,Q,R lần lượt là trung điểm BC,CA,AB.U,V,W" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">BC,CA,AB.U,V,W lần lượt là trung điểm AP,BQ,CR" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">AP,BQ,CR.
Chứng minh rằng XU,YV,ZW" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">XU,YV,ZW đồng quy.
