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How to judge the vertical intersection and vertical intersection of two straight lines in mechanical system
Usually, there is a straight line parallel to the projection plane. When two straight lines are perpendicular, they intersect if the points of intersection are proportional, and intersect if they are not proportional. For the vertical problem in solid geometry, it mainly involves the vertical problem of straight line and plane and the vertical problem of plane. To solve related problems, the difficulty lies in the definition of straight line perpendicular to plane and its understanding of theorem judgment conditions.

Judgement theorem of two planes perpendicular and its application and understanding of some concepts of dihedral angle. In mathematics, intersection is a relationship between two geometric figures. The intersection of two graphs means that they have a common part, or the point sets belonging to both graphs are not empty sets. If there is only one intersection point between two geometries, it is called tangency rather than intersection.

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In Euclidean geometry, there are four relationships between two circles on the same plane: separation, tangency, compatibility and intersection. Separation means that two circles do not intersect, and neither circle is in the other circle. Tangency means that two circles have only one intersection. Intersection means that two circles have more than one intersection. Compatibility means that two circles do not intersect and one circle is inside the other.

Two circles intersect if and only if the distance between the centers of the two circles is strictly smaller than the sum of the radii of the two circles and strictly larger than the difference between the radii of the two circles. On the Euclidean plane, two straight lines are either parallel, intersect or coincide. This is the inference of Euclid's fifth postulate. Two intersecting straight lines have exactly one intersection point. In non-Euclidean geometry, it can be divided into two categories according to geometric characteristics (curvature).

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