TY - JOUR AU - De Catalina, Emiliano C. PY - 2021/05/28 Y2 - 2024/03/29 TI - Angle Trisection, Bhaskara’s Proof, and Pythagorean Theorem JF - Recoletos Multidisciplinary Research Journal JA - RMRJ VL - 9 IS - 1 SE - Articles DO - 10.32871/rmrj2109.01.01 UR - https://rmrj.usjr.edu.ph/rmrj/index.php/RMRJ/article/view/987 SP - 1-11 AB - <p>This paper deals with 1) angle trisection, 2) Bhaskara’s first proof, and 3) Pythagorean theorem. The purpose of this paper is threefold. First, to show a new, direct method of trisecting the 90<sup>0</sup> angle using unmarked straight edge and compass; secondly, to show Bhaskara’s first proof of the Pythagorean theorem (c<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup>) as embedded in this new, direct trisection of the 90<sup>0</sup> angle; lastly, to show the derivation of the Pythagorean theorem from this trisection of the 90<sup>0</sup> angle. This paper employs the direct dissection method. It concludes by presenting four points: a) the concept of trisectability as distinct from concept of constructability; b) the trisection of the 90<sup>0</sup> angle as really a new, different method; c) Bhaskara’s first proof of the Pythagorean theorem as truly embedded in this trisection of the 90<sup>0</sup> angle and; d) another way of deriving Pythagorean theorem from this trisection of the 90<sup>0</sup> angle.</p> ER -