4-division correct product world map

Abstract

To draw a world map of a correct land area on a plane.SOLUTION: When a world map is spread on a plane, a three-dimensional sphere is two-dimensionally represented, and distortion inevitably occurs in one or all of an area and a shape of a land, a bearing, and a distance. This method can correctly represent the land area thereof. The globe is divided into four semispheres, and an outer peripheral curve equal in length to a vertical 90-degree latitude line and a 90-degree longitude curve of an equal size horizontally dividing an equator are connected on an extension of 45 latitude, thereby representing roundness of the globe on a plan map. By equally dividing and connecting outer peripheral lines, widths become equal anywhere on the same latitude, and the widths are narrower as the longitude of the largest width on the equator becomes nearer to a pole, and become 0 at the pole. By placing coordinates of the land on a map writing only the latitude and the longitude, a world map of a correct area at any place is completed.SELECTED DRAWING: Figure 1

Description

Technical Field

[0001] The present invention relates to a cartographic method of a world map aimed at correctly representing the land area on a plane.

Background Art

[0002] Conventionally, many cartographic methods of world maps have been published.

[0003] However, all of them have drawbacks such as the land area and shape being far from the actual ones, or the side view being distorted with respect to the front view.

[0004] When displaying a three-dimensional shape (the earth) in two dimensions, distortion occurs, and it is generally impossible to correctly display the area, angle, distance, etc. simultaneously.

[0005] If so, it would be meaningful to accurately represent at least the area among them.

Summary of the Invention

Problems to be Solved by the Invention

[0006] Elements required for a world map include that the area and shape of each land are correct, the distance and orientation are correct, and there is no distortion or deformation even at the peripheral part of the map. However, with the conventional cartographic methods, these elements could not be depicted in a plan view. The present invention is a cartographic method of a world map that attempts to correctly depict the land area on a plan view among these elements.

Means for Solving the Problems

[0007] For the orthographic projection method to be established, the width of the portion surrounded by the same longitude must be the same anywhere on the same latitude.

[0008] For that purpose, first, the length of the central straight 90th latitude, the latitude line of the outer periphery opened by 90°, and the length of the 90th longitude line that horizontally divides the equator need to be the same assuming the earth is a perfect sphere.

[0009] At the intersection on the horizontal extension line of the 45-degree latitude line at the center, connect the outer perimeter and the curve of the equator to the same length as the 90-degree latitude line.

[0010] If the latitudes and longitudes are equally divided and connected by lines, then on all the same latitudes, the areas enclosed by the same longitude lines will be equal.

[0011] If the corresponding location on land is dropped onto the four-hemisphere map, it will become a front-area world map.

Advantages of the Invention

[0012] With the four-hemisphere front-area world map, the shape of the land can be intuitively understood, and the differences in the relative sizes of each continent, island, etc. can also be correctly recognized.

Brief Explanation of the Drawings

[0013]

Figure 1

Modes for Carrying Out the Invention

[0014] [Figure 1] arranges the eastern and western hemispheres on the left and right, but it can also be drawn with, for example, Japan as the center. Even in that case, the area of each land is correctly displayed.

[0015] By arbitrarily taking the central longitude line, it can also become an ocean map.

[0016] If the intervals between the latitude and longitude lines are subdivided, theoretically it is possible to infinitely enlarge the front-area world map.

Claims

[Claim 1] A quadrant world map projection drawn on a flat surface.

Images