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Show that the ratio of lengths of any two segments of the same line is preserved by affine transformations.?

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  • Show that the ratio of lengths of any two segments of the same line is preserved by affine transformations.?


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... the ratio of lengths on parallel line segments is ... of parallel segments is invariant under affine ... two lines $l_1$ and $l ...
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Positive: 84 %
Affine Transformations ... the same ratio k>0, so any affine transformation preserves the ... Since the ratio of lengths of parallel segments is ...
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Positive: 81 %

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Two sides have lengths in the same ratio, ... Given a triangle ABC and a line segment DE one can, ... Given any two similar polygons, ...
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Positive: 84 %
... same line or two points or the same ... ratio of the lengths of the line segments and ... affine transformations, a rotation about any ...
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Positive: 79 %
... of a line segment on the ... some affine invariants, e.g., on a plane of a given object, the ratio of lengths of two parallel line segments or ...
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Positive: 65 %
Arc Length-Based Aspect Ratio Selection ... (produce the same aspect ratio) ... They went on to show that in the case of two line segments in the
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Positive: 42 %

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