Abstract: The present invention discloses a liquid crystal display device capable of reducing charges to be supplied from a driving circuit, increasing response speed of liquid crystals and delivering superior display. A liquid crystal display device is provided with a switching circuit between scanning electrodes of a liquid crystal display panel 25 and a common driver. The switching circuit is provided with switching elements, and each switching element is disposed between two scanning electrodes adjacent to each other. Furthermore, each switching element is turned on and off by a control means.

Abstract: A trace display apparatus for a navigation system is provided to make it easy to grasp the change in altitude traces of a mobile body from a starting point to an end point. The apparatus receives radio waves from GPS artificial satellites to measure the spatial position of the mobile body. The three-dimensional data (latitude, longitude and altitude) of a measuring point on the traces are calculated by a processing device and then stored in a storage device. The moving traces of an automobile are obtained by displaying the map data and the two-dimensional position data (latitude and longitude) from the starting point to the end point out of the stored three-dimensional data. The altitudes in the data for the measuring points and the distances from the starting point to measuring points, which are calculated from the latitude, and longitude, are indicated on a graph.