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is measured as the length from the point along a segment that is perpendicular to the plane, meaning that it is perpendicular to all lines in the plane that pass through the nearest point in the plane to the given point.
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fits a line to data points by minimizing the sum of squared perpendicular distances from the data points to the line. Other
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methods using perpendicular distance to measure the quality of a fit exist, as in
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Distance from one geometric object to another along a line perpendicular to both
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The concept of perpendicular distance may be generalized to
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is measured by a line segment that is perpendicular to a
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from it to the given point is perpendicular to the line.
76:to the curve at the nearest point on the curve.
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61:on that line. That is the point at which a
68:Likewise, the distance from a point to a
42:from one to the other, measured along a
129:, between more abstract non-geometric
151:, between an arbitrary point and its
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155:on the surface. It can be used for
101:Nearest distance between skew lines
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93:Point on plane closest to origin
81:distance from a point to a plane
57:is the distance to the nearest
55:distance from a point to a line
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139:principal components analysis
38:between two objects is the
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87:Other instances include:
109:Perpendicular regression
113:geometric curve fitting
36:perpendicular distance
179:Hypercycle (geometry)
174:Distance between sets
127:orthogonal distance
117:total least squares
184:Moment of inertia
159:and for defining
16:(Redirected from
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50:to one or both.
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189:Signed distance
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161:offset surfaces
157:surface fitting
145:normal distance
133:objects, as in
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18:Normal distance
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149:surface normal
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135:linear algebra
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209:Orthogonality
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74:tangent line
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203:Categories
195:References
131:orthogonal
214:Distance
168:See also
46:that is
40:distance
32:geometry
137:(e.g.,
63:segment
34:, the
70:curve
59:point
153:foot
79:The
53:The
44:line
30:In
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