Penggunaan Persamaan Hiperboloid untuk Identifikasi Struktur Geometri Bajak Singkal

Abstract

Various geometric structures of moldboard ploughs need to be identified since there have been confusing uses of European and Asian Ploughs in cultivating lowland fields: the European one that was constructed for tillage of upland soil prior to destruct impervious soil layers in root zones has been frequently applied in wetland paddyufields. It leads to frequently disturbances of the formation of hardpan layer structures required for an ideal wetland paddy field that should be formed within a soil depth of 20-40 cm. The research observed three types of moldboard ploughs dominantly operated in wetland paddy filds: a wood (Lanyam), a wood-iron (Brujul) and an iron/steel ploughs. Research method employed a descriptive explanatory one to identify the geometric stucture of the ploughs based on hyperboloid equation: ´2/a2 + Y2/b2-Z2/c2= 1. The plough identity was determined by ratio values amongst the constans a, b and c of the equation, i,e.; R1 = a/b R2 = a/c, and R3 = b/c, where the respective constants were caculated according to the positions of a numbers of coordinate points on the moldboards projected in the Cartesian coordinate system. Results of identification showed thaht the values of R1, R2 and R3 could indicate the identity of the ploughs where Lanyam and Brujul were categorized into the types of Asian ploughs where Lanyam and Brujul were categorized into the types of Asian ploughs by their R1 and R2 3 1, so their operation on wetland paddy fields were reasonable. Whereas the iron/steel one was categorized into the type of European ploughs by R1 and R2 > 1 R3 Keyword: Asian & European moldboard ploughs, hyperboloid equation, constant ratios of hyperboloid equation.