21. However a bisector analysis of the spectra of KOI-98's star ruled out that hypothesis. 22. A second bisector also exists, perpendicular to the first and passing through " p " int. 23. The length of the internal bisector of the angle opposite the side of length " a " is 24. So the perpendicular bisector of D'D ( a segment of s ) is also perpendicular to r. 25. :: Consider where the 9 point center must lie between the altitude and perpendicular bisector from each side. 26. The centres of the horocycles are the ideal points of the perpendicular bisector of the line-segment between them. 27. Next, draw PB, and reflect it about the bisector of B, which connects B to the incenter. 28. The resulting line, which also contains the conjugate of P, intersects the bisector of A above the incenter. 29. A triangle family with integer sides a, b, c and with rational bisector d of angle A is given by 30. In two-dimensional Euclidean geometry the locus of points equidistant from two given ( different ) points is their perpendicular bisector .