[1] There is a conic c

[2] The parallel to B*C* from A meets c

[3] The intersection point D of the conic c

[1] and [2] were discussed in PascalImmortel.html . Here we discuss the third property.

The third property is a trivial consequence of the considerations in the cited reference. There we proved that AD is parallel to B*C*. Since OA and FA' are also parallel (see Euler.html ) the isoscelli OAD and FA'D* are similar, and the same is true with triangles FGD* and GOD. Hence the intersection point of DD* with OF coincides with the centroid G of ABC and the ratio DG/GD*=OD/FD*=2.

From this property follows that the shape of the conic c

Since all conics c

Pascal.html

PascalImmortel.html

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