бұрышты тең үш бөлікке бөліп салу есебі

Abstract (in English) This paper presents a new constructive solution to an ancient classical geometric problem that has remained unsolved for more than 2500 years. The proposed method is based on an algorithmic approach, executable solely with a ruler and compass, and analytically verified within a coordinate system for several specific angles. The construction harmoniously combines the geometric properties of circle-line intersections, providing an exact solution to the problem of angle trisection. Analytical verification demonstrated that for all angle values, including particular cases of 45°, 54°, 60°, and 90°, the equalities OD=KД ED=2AB, and the trisection condition ∠DAC= ∠ABC hold precisely. The obtained results indicate that the trisection problem is solved not approximately, but as an exact constructive method.