Machine Design
For a bevel gear having the pitch angle θ, the ratio of formative number of teeth (TE) to actual number of teeth (T) is

1/cosθ
1/sinθ
sinθ cosθ
1/tanθ

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Machine Design
Machine screws are

Slotted for a screw driver and generally used with a nut
Similar to stud
Used to prevent relative motion between two parts
Similar to small size tap bolts except that a greater variety of shapes of heads are available

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