**Autors:** Nenkov, VN., Grozdev, SI., Velchev, A. P., Alashka, RM., Stefanov, ST., Haimov, HM.
**Title:** New Formulas for Distances Between New and Traditional Remarkable Points in a Quadrilateral
**Keywords:** Remarkable Points, Quadrilateral, point of Miquel, Brocard p**Abstract:** Here we consider new geometrical objects and their properties, obtained in our previous works and several
theorems, which provide new formulas for distances between new and traditional remarkable points in a quadrilateral,
and other new relationships, namely: 1) the distances from (the intersection points of the perpendicular bisectors of the
opposite sides) to the (vertices and the point of Miquel of the quadrilateral); and 2) the relationships between the: (side
lengths and the measures of the angles between adjacent and opposite quadrilateral’s sides), (distances between the
intersection point of the perpendicular bisectors of the diagonals and the quadrilateral’s vertices with the side lengths
and the measures of the angles between the two diagonals and between each diagonal with each of it’s adjacent sides), (side lengths and the angles between the two diagonals and between each diagonal and each its adjacent side) and (distances from the diagonals’ intersection point to the Broc
**References**
**Issue**
| American Institute of Physics Conference Proceedings, pp. 060003, 2022, United States, AIP Publishing |
Full text of the publication |