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Remote elevation measuring method based on similar triangles

A technology of similar triangles and measurement methods, applied in the field of measurement, can solve the problems of unable to measure horizontal distance, unable to erect prisms, etc., to achieve the effect of simple operation process, simple derivation process and reliable theoretical basis

Active Publication Date: 2016-07-13
CHINA RAILWAY SHANGHAI DESIGN INST GRP
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  • Abstract
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Problems solved by technology

[0005] For this problem, because a prism cannot be erected at point P, the horizontal distance from point P (or P″) to the set point cannot be measured, so it cannot be directly measured with the suspension height measurement program

Method used

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  • Remote elevation measuring method based on similar triangles
  • Remote elevation measuring method based on similar triangles
  • Remote elevation measuring method based on similar triangles

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Embodiment

[0021] Example: such as figure 1 As shown, desire the height of the point P to be measured on the high-voltage line M "N", and the plane coordinates of P "corresponding to the ground point P are known as (x P ,y P ), MN is the projection of M″N″ on the ground Ψ.

[0022] In the present embodiment, the method for measuring the suspension height based on the triangle comprises the following steps:

[0023] 1) Set up a station at point O with known spatial coordinates, and the coordinates of point O are (x O ,y O , h O ), point A is any known point on the ground as the first reference point, and the coordinates are (x A ,y A , h A ), the elevation h of the first reference point A and the point to be measured at the station O O The projection points of the horizontal plane are A′(x A ,y A , h O ), P′(x P ,y P , h O ).

[0024] By setting the spatial coordinates of the projected point P′ of the station O and the point P to be measured on the elevation level of the st...

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Abstract

The invention relates to the technical field of measurement, in particular to a remote elevation measuring method based on similar triangles. The remote elevation measuring method is characterized by comprising the following step: calculating the elevation of a point to be measured through a horizontal distance between a set site and a projection point of the point to be measured on an elevation level surface of the set site, a horizontal distance between the set site and the projection point of a second reference point on the elevation level surface of the set site, and space coordinates of the projection point of the second reference point on a connecting line of the set site and the point to be measured according to a geometrical relationship of the similar triangles. The remote elevation measuring method disclosed by the invention has the advantages that the formula derivation process is simple, the theory basis is reliable, the operation process is simple, and the elevation measurement precision is high.

Description

technical field [0001] The invention relates to the technical field of measurement, in particular to a method for measuring suspension height based on similar triangles. Background technique [0002] Suspension height measurement refers to the measurement of the distance from a certain point in the air to the ground. The basic principle of measuring the height of a point to be measured in the air by using the suspension height measurement principle is to calculate the horizontal distance and angle relationship. Therefore, the premise of hanging height measurement is to be able to measure distance and angle. [0003] In railway measurement, when the railway intersects with the high-voltage line, it is necessary to measure the height of certain points on the high-voltage line within a certain range above the railway design line, so as to determine whether the high-voltage line affects the construction and operation of the railway. At this time, it is necessary to measure the s...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01C3/26G01C3/30
CPCG01C3/26G01C3/30
Inventor 陈晓林王文庆
Owner CHINA RAILWAY SHANGHAI DESIGN INST GRP
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