OICC Press Communications in Nonlinear Analysis 2371-7920 12 1 2025 11 09 On the geometric construction of the Jarratt-Gander's class and its relationship with other methods EN Carlos Eduardo Cadenas R. Departamento of Matem\'atica, Facultad de Ciencias y Tecnolog\'ia, Universidad de Carabobo, Naguanagua, 2005, Venezuela. Centro Multidisciplinario de C\'omputo y Visualizaci\'on Cient\'ifica, Facultad de Ciencias y Tecnolog\'ia, Universidad de Carabobo, Naguanagua, 2005, Venezuela 0000-0003-3828-2560 Journal Article 2025 11 09 This paper establishes a geometric interpretation of the methods obtained from a two-point Jarratt-Gander type class and then these are compared with other kinds of methods to polynomial with two different roots. Finally, several numerical examples to observe the performance of the classic and new members of the families mentioned are presented.