## Envelopping the NPC

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• Let ABC be a triangle and 12, 13 the tangents to the NPC, perpendicular to BC, near to B,C, resp. Similarly the tangents 23,21 and 31,32. The 6 real
Message 1 of 2 , Feb 23, 2013
Let ABC be a triangle and 12, 13 the tangents to the NPC, perpendicular
to BC, near to B,C, resp. Similarly the tangents 23,21 and 31,32.
The 6 real intersection points are lying on a conic centered at N.

Denote

La = (21/\31)(32/\23)
Lb = (32/\12)(13/\31)
Lb = (13/\23)(21/\12)

The parallels to La,Lb,Lc through the respective vertices of ABC or
the medial triangle.
are concurrent.

APH
• Answers: X(1) and X(10) Regards César Lozada _____ De: Hyacinthos@yahoogroups.com [mailto:Hyacinthos@yahoogroups.com] En nombre de Antreas Hatzipolakis
Message 2 of 2 , Feb 23, 2013

X(1) and X(10)

Regards

_____

De: Hyacinthos@yahoogroups.com [mailto:Hyacinthos@yahoogroups.com] En nombre
de Antreas Hatzipolakis
Para: Hyacinthos
Asunto: [EMHL] Envelopping the NPC

Let ABC be a triangle and 12, 13 the tangents to the NPC, perpendicular
to BC, near to B,C, resp. Similarly the tangents 23,21 and 31,32.
The 6 real intersection points are lying on a conic centered at N.

Denote

La = (21/\31)(32/\23)
Lb = (32/\12)(13/\31)
Lb = (13/\23)(21/\12)

The parallels to La,Lb,Lc through the respective vertices of ABC or
the medial triangle.
are concurrent.

APH

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