Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

K623

too complicated to be written here. Click on the link to download a text file.

X(2), X(7), X(8), X(279), X(291), X(508), X(516), X(673), X(3008)

P = X(9436) = X(7)÷X(673), pivot

infinite points of the Steiner ellipse

vertices of the anticevian triangle of X(508)

A'B'C' = cevian triangle of P

K623 is an example of pK that contains several powers of its pole Ω. See CL041.

Here Ω = X(7), Ω^2 = X(279), Ω^(-1) = X(8), Ω^0 = X(2), Ω^(1/2) = X(508).

K623 is the SS{X} transform of the cubic Knnn for these pairs {X,Knnn}: {X7,K323}, {X8,K766}, {X188,K779}, {X216,K1335}, {X366,K780}, {X508,K128}, {tX508,K738}, etc. See Table 70.

The SS{X9} transform of K623 is simply its isotomic transform, namely K1374 = pK(X8, X3912).