be90bc77-c476-4322-a9ef-28a02e8cdf6b 5 Alvaro Diaz Falconi 4 5 false false 0 10 decimal

&[DATE] &[TIME] - &[FILENAME]

r 2 :

R 22.25 :

Abscisa puncului M x.M 20.6839 - : 20.6839 -

Ordonata puncului M y.M 8.2 : 8.2

Abscisa puncului M' x.M' x.M 2 - : 22.6839 -

Ordonata puncului M y.M' y.M : 8.2

Abscisa puncului N x.N x.M : 20.6839 -

Ordonata puncului N y.N y.M r - : 6.2

Abscisa puncului P x.P 0 :

Abscisa puncului P y.P R : 22.25

Abscisa puncului P x.P' x.P : 0

Ordonata puncului P' y.P' R - : 22.25 -

The equation of the circle, passing through the points M, P and P' x y C.O x 2^y 2^+ x y 1 x.M 2^y.M 2^+ x.M y.M 1 x.P 2^y.P 2^+ x.P y.P 1 x.P' 2^y.P' 2^+ x.P' y.P' 144 mat det :

The equation of the line, passing through the points M' and N x y δ.M'N x y 1 x.M' y.M' 1 x.N y.N 133 mat det :

To determine the coordinates of point Q, I used the roots(2) algorithm

Where is the sophistry?! x y C.O x y δ.M'N 21 mat x y 21 mat roots 6.72534 21.20924 - 21 mat

y.Q y.M' y.N - x.M' x.N - / x.Q x.M' - (* y.M' + : x.Q 0 : polyQ x.Q y.Q C.O x.Q y.Q C.O x.Q diff 12 / x.Q y.Q C.O x.Q 2 diff * 31 mat : x.Q polyQ polyroots eval : 41 line

x y C.O x y δ.M'N x.Q y.Q vectorize o augment 3 1 sys

x.Q 6.7253 21.2093 - 21 mat

y.Q vectorize 21.2092 - 6.7254 21 mat