Three-dimensions measuring method and surveying equipment using the same

A three-dimensions measuring method, comprising the following steps:

• a first step for specifying at least three points on a plane α including measuring points of an object to be measured and measuring distances to and angles relative to at least three points corresponding to the specified points as viewed from a point of origin;
• a second step for specifying at least three points on a plane β including measuring points of an object to be measured and measuring distances to and angles relative to at least three points corresponding to the specified points from the point of origin;
• a third step for determining an equation for specifying the plane α, using data about the distances and angles obtained in said first step;
• a fourth step for determining an equation for specifying the plane β , using data about the distances and angles obtained in said second step;
• a fifth step for collimating the measuring points from the point of origin to thereby measure angles and determining an equation indicative of a straight line connecting between the point of origin and said each measuring point;
• a sixth step for computing a measuring point corresponding to a point where the equation for specifying the plane α, which is obtained in said third step and the equation indicative of the straight line connecting between the point of origin and said each measuring point, which is obtained in said fifth step, intersect;
• and
• a seventh step for computing a measuring point corresponding to a point where the equation for specifying the plane β, which is obtained in said fourth step and the equation indicative of the straight line connecting between the point of origin and said each measuring point, which is obtained in said fifth step, intersect, and
• wherein at least two points corresponding to the measuring point on the plane α and the measuring point on the plane β are common.

A measuring method, comprising the following steps:

• a first step for measuring a distance to an external surface of a cylindrical column corresponding to an object to be measured;
• a second step for collimating the outside shape of the cylindrical column to thereby measure an angle thereof;
• and
• a third step for computing a distance to the center of the cylindrical column from the distance obtained in said first step and the angle obtained in said second step or the radius of the cylindrical column by a tri-square theorem.

A surveying apparatus which is a lightwave range finder for measuring distances and angles, said lightwave range finder including,

• an angle measuring unit and a distance measuring unit;
• said angle measuring unit and said distance measuring unit measuring distances to and angles relative to at least three specified points on a plane α including measuring points of an object to be measured,
• said angle measuring unit measuring angles relative to each individual measuring points;
• and
• a computing unit for determining an equation for specifying the plane α from the distances to and angles relative to the specified points, determining an equation indicative of a straight line for connecting the measuring points from the angles relative to the measuring points, and computing a measuring point corresponding to a point where the plane a and the straight line intersect.