Machine Design
The contact ratio is the ratio of

Length of arc of recess to the circular pitch
Length of arc of approach to the circular pitch
Length of arc of contact to the circular pitch
Length of path of contact to the circular pitch

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Machine Design
Slenderness ratio is the ratio of

Effective length of column to least radius of gyration of the column
Maximum size of column to minimum size of column
Effective length of column to width of column
Width of column to depth of column

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