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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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93:, for the perpendicular distance between two non-parallel lines in three-dimensional space
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85:, for the perpendicular distance from the origin to a plane in three-dimensional space
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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.
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65:to the curve at the nearest point on the curve.
50:on that line. That is the point at which a
57:Likewise, the distance from a point to a
31:from one to the other, measured along a
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118:, between more abstract non-geometric
140:, between an arbitrary point and its
144:on the surface. It can be used for
90:Nearest distance between skew lines
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82:Point on plane closest to origin
70:distance from a point to a plane
46:is the distance to the nearest
44:distance from a point to a line
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128:principal components analysis
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27:between two objects is the
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76:Other instances include:
98:Perpendicular regression
102:geometric curve fitting
25:perpendicular distance
168:Hypercycle (geometry)
163:Distance between sets
116:orthogonal distance
106:total least squares
173:Moment of inertia
148:and for defining
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39:to one or both.
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178:Signed distance
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150:offset surfaces
146:surface fitting
134:normal distance
122:objects, as in
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138:surface normal
136:, involving a
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124:linear algebra
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198:Orthogonality
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63:tangent line
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192:Categories
184:References
120:orthogonal
203:Distance
157:See also
35:that is
29:distance
21:geometry
126:(e.g.,
52:segment
23:, the
59:curve
48:point
142:foot
68:The
42:The
33:line
19:In
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130:);
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