Cross Staff Table of Angles for Staff Distances Using Various Length Cross-pieces

Distances are measured from the eye-end of the cross staff. Values are provided in mm as well as inchs since long decimal inch scales are not as readily available as meter sticks.
 

Table of Calculations and Values for Layout of Staff for Cross Staffs

         Distance for Crosspiece of x inchs

3 inch X-piece 6 inch X-piece 9 inch X-piece
 Measured angle, degrees  Layout angle, degrees  Tangent (opp side/adj side)  1/Tangent  in  mm= (in)(25.4)  in  mm= (in)(25.4)  in  mm= (in)(25.4)  Measured angle, degrees
5 2.5 0.043 22.9 34.36 872.6 68.71 1745.3 103.07 2617.1 5
10 5 0.087 11.43 17.15 435.5 34.29 871 51.43 1306.5 10
15 7.5 0.132 7.596 11.39 290 22.79 578.8 34.18 868.2 15
20 10 0.176 5.671 8.51 216.1 17.01 432.2 25.52 648.2 20
25 12.5 0.222 4.511 6.77 171.9 13.53 343.7 20.3 515.6 25
30 15 0.268 3.732 5.6 142.2 11.2 284.4 16.79 426.6 30
35 17.5 0.315 3.172 4.76 120.8 9.51 241.7 14.27 362.5 35
40 20 0.364 2.748 4.12 104.7 8.24 209.4 12.36 314 40
45 22.5 0.414 2.414 3.62 92 7.24 184 10.86 275.9 45
50 25 0.466 2.145 3.21 81.7 6.43 163.4 9.65 245.1 50
55 27.5 0.521 1.921 2.88 73.2 5.76 146.4 8.64 219.6 55
60 30 0.577 1.732 2.6 66 5.2 132 7.79 198 60
65 32.5 0.637 1.57 2.35 59.8 4.71 119.6 7.06 179.4 65
70 35 0.7 1.428 2.14 54.4 4.28 108.8 6.43 163.2 70
75 37.5 0.767 1.303 1.95 49.6 3.91 99.3 5.86 149 75
80 40 0.839 1.192 1.79 45.4 3.56 90.8 5.36 136.2 80
85 42.5 0.916 1.091 1.64 41.6 3.27 83.2 4.91 124.7 85
90 45 1 1 1.5 38.1 3 76.2 4.5 114.3 90

© R Paselk 1999

Last modified 4 May 2000