Prof. Dr. Sead Rešić, Prof. Dr. Maid Omerović,
Anes Z. Hadžiomerović, Ahmed Palić
Bosnia and Herzegovina
https://doi.org/10.53656/math2021-3-5-mid
Abstract. In this section we deal with an interesting fact which will imply ABCD some well known theorems. Namely we prove that in a convex quadrilateral whose diagonals meet at O, the midline of the triangle ∆BOC parallel to BC, the midline of the triangle ∆AOD parallel to AD, and the midline of the quadrilateral ABCD connecting the sides AB and CD meet at one point, or are parallel.
Keywords: Ceva; Menelaus; Stewartes; cevian; concurrency; collinearity; Fermat; Torricelli