Harmonic conjugate

### 25.16.4 Harmonic conjugate

The harmonic_conjugate command finds harmonic conjugates.

- harmonic_conjugate takes three arguments:
  - P1,P2,P3, three collinear points or three concurrent lines, or three parallel lines.
- harmonic_conjugate(P1,P2,P3) returns and draws the harmonic conjugate of P1,P2 and P3.

#### Examples

A:=point(i); B:=point(2+i); C:=point(1/3+i); D:=harmonic_conjugate(A,B,C)

evalc(affix(D))

− |
1
2
| +i

harmonic_conjugate(line(0,1+i),line(0,3+i),line(0,i))