@phdthesis{digilib58426, month = {April}, title = {PARABOLOIDA PADA RUANG EUCLID DIMENSI-3}, school = {UIN SUNAN KALIJAGA YOGYAKARTA}, author = {NIM.: 17106010024 Alfiah Fitriana}, year = {2023}, note = {Pembimbing: Pipit Pratiwi Rahayu, S.Si., M.Si.}, keywords = {geometry; paraboloids; hyperbolic paraboloids; elliptic paraboloids; conic sections}, url = {https://digilib.uin-suka.ac.id/id/eprint/58426/}, abstract = {Geometry is one of the elements in mathematics that is used in identifying from one form to another. In geometry there are spatial geometry and plane geometry. One of the interesting discussions of plane geometry is the shape and equations in the two-dimensional plane that can be developed into a three-dimensional plane. This study discusses the development of conic sections into three-dimensional planes in the form of hyperbolic paraboloids and elliptic paraboloids. From the results of expanding the conic sections, we can obtain geometric equations in the form of a paraboloid resulting from a rotating parabola on the X, Y, and Z axes, a hyperbolic paraboloid, and an elliptic paraboloid resulting from a combination of one or two curve shapes. This understanding will be easier to understand with a few examples.} }