Browsing by Author "Natsir, M."
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Item BEBERAPA ALTERNATIF PEMBUKTIAN TEOREMA SIMSON(2014-03-25) Nurdin, Fadli; Mashadi; Natsir, M.This article discusses some alternative proofs of Simson theorem, which states the specific form of the three points of intersection lines on the sides of the triangle. In these alternative proofs, the principle of parallel lines, vertical angle and Menelaus theorem are used. At the end, a particular case found on tangent to Simson line is mentionedItem BENTUK NORMAL PADA PERSAMAAN PERMUKAAN KUBIK(2013-07-26) Fajri, Randi; Natsir, M.; Lily, EndangThis paper discusses a technique to simplify a general cubic surface equation in the projective space to form a normal form z2=f(x,y) , in which f ( x, y) is a polynomial of degree four. The process is started by simplifying the cubic surface equation in the projective space into a cubic surfaces in an affine space, then followed by some tranformation to obtain an explicit and simpler form of a normal equation z2 = f(x,y).Item HUBUNGAN SEGITIGA GERGONNE DENGAN SEGITIGA ASALNYA(2014-03-25) Oriza, Sandra; Mashadi; Natsir, M.This paper discusses the relationship between Gergonne triangle with its original triangle, namely any triangle that contains the incircle of triangle. The discussion consists of Gergonne triangle area and the length of Gergonne line based on its original triangle side.Item HUBUNGAN SEGITIGA NAGEL DENGAN SEGITIGA ASALNYA(2014-03-25) Widya, Reni; Hasriati; Natsir, M.This paper discusses the relationship between the Nagel triangle and the original triangle. The Nagel triangle is formed by connecting the three of tangent points of the excircle to the sides of the triangle. This relationship can be shown through the collinearity of centroid and incenter of the original triangle to Nagel point of the Nagel triangle. Then, the relationship between the area of the Nagel triangle and the area of the original triangle is shownItem KONKURENSI TITIK GERGONNE(2014-03-25) Trisna, Desi; Natsir, M.; HasriatiThis paper discusses the proof of the concurrent from Gergonne point. The Gergonne point of a triangle is the point at which the three lines from vertices to the points of tangency between the incircle and the sides of the triangle are concurrent. Concurrent Gergonne point can be proved through several methods and using Ceva theorem. The concurrence of Gergonne point is also proved on excircle of triangle.Item METODE ALTERNATIF BARU UNTUK MENGHITUNG DETERMINAN MATRIKS ORDE 3 X 3(2013-05-15) Handoko, Galang Ismu; Natsir, M.; Sugiarto, SigitThis paper discusses a new method to compute the determinant of a matrix of order 3 3 , i.e the determinant computation using three schemes formed by removal the elements of a matrix of order 3 3 . The schemes are easier to understand in computation of the determinant of a matrix of order 3 3 , than the existing method. This new method can be used as an alternative method to compute the determinant of a matrix of order 3 3 , than existing methods, such as Sarrus’s rule, Chio’s condensation method, the triangle rule and the Dodgson’s condensation method. This method is called "New Alternative Method".Item PENYELESAIAN MASALAH TRAVELING SALESMAN DENGAN PEMROGRAMAN DINAMIK(2012-10-14) Mustafsiroh; Gamal, M. D. H; Natsir, M.Traveling salesman problem ia a problem in graph theory. This problem can be solved by enumurating all possible Hamilton circuit. Then we calculate the length of rute of each circuit, and then we choose the shortest circuit. For a large n, many of Hamilton circuits are examined. We discuss traveling salesman problem using dinamic programming to find optimal solution.Item PENYELESAIAN PERSAMAAN DIFERENSIAL LANE-EMDEN MENGGUNAKAN METODE TRANSFORMASI DIFERENSIAL(2013-03-21) Sya’roni, Ahmad; Natsir, M.; Lily, EndangThis paper described characteristics and use of differential transformation method. Finite Taylor series was used for solving second order of nonlinear Lane-Emden equation at singular initial value problems