Tetrahedron Slice

Miter Angle R2 -- Witches Cut -- Square Tail Fascia Miter Angle on the Side Of Hip Rafter

Saw Blade Bevel C1

Develops Bevel Angle 90 - R3 on the top edge of the hip rafter material.

**Use C1 for the saw blade bevel angle along the miter line (R2) on the side of the hip rafter.**

C1 = Saw Blade Bevel Angle = arcsin( cos ( Pitch Angle ) * cos( Plan Angle ))

or

Known Angles

- R2
- R3
- C1
- C2

C1 = Saw Blade Bevel Angle = arctan( cos ( R2 ) * tan( R3 ))

C1 = Saw Blade Bevel Angle = arcsin( sin ( R3 ) * cos( C2 ))

C1 = Saw Blade Bevel Angle = arccos( sin ( C2 ) ÷ sin( R2 ))

C1 = Angle B in the tetrahedron

Tetrahedron Trigonometric Identity Formulas

by Joe Bartok

Angle B = arccos( sin ( D ) ÷ cos ( E ))

Angle B = arccos( cos ( A ) ÷ cos ( C ))

Angle B = arcsin ( sin ( A ) × cos ( D ))

Angle B = arcsin ( tan ( E ) × tan ( C ))

Angle B = arctan( tan ( A ) × sin ( E ))

Angle B = arctan( sin ( C ) ÷ tan ( D ))

- C1 = arccos( sin ( C5 ) ÷ cos ( 90 - P1 ))
- C1 = arccos( cos ( P2 ) ÷ cos ( R2 ))
- C1 = arcsin ( sin ( P2 ) × cos ( C5 ))
- C1 = arcsin ( tan ( 90 - P1 ) × tan ( R2 ))
- C1 = arctan( tan ( P2 ) × sin ( 90 - P1 ))
- C1 = arctan( sin ( R2 ) ÷ tan ( C5 ))

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