In view of the complexity of geodetic line equation and the difficulty of efficient plotting, the formula of theforward and backward solutions of geodetic problem with third flattening n is changed, the accuracy of geodetic azimuth calculationaccording to the mathematical relationship between normal transversal azimuth and geodetic azimuth is improved, and an equidistantinterpolation geodetic line plotting method is proposed. A precision adaptive control model was established by using Mathematica toimprove the efficiency and precision of equal spacing interpolation. Using the powerful mapping function of Mathematica, thegeodetic line plotting of different map projections under different distances and application scenarios is realized, and the applicationvalue of geodetic line plotting is explored. Experimental results show that the method can achieve high efficiency geodetic linedrawing of arbitrary length under the condition of controlled accuracy. Geodetic line plotting of different map projections has uniquesignificance in different application scenarios.