f3cd8c03-2fde-4cb7-8e25-34087fc620a5 21 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

i 030 range :

j 018 range :

p π - i π * 15 / + :

q π - j π * 9 / + :

k 020 range t k 1 + el 120 k - 1 k + / + : for

i 1 t rows range R i el 5 t i el * 625 i - / + : for

i 1 t rows range r i el 1.5 t i el * 425 i - / + : for

t R r 13 mat 21 10.5 7 5.25 4.2 3.5 3 2.625 2.333 2.1 1.909 1.75 1.615 1.5 1.4 1.312 1.235 1.167 1.105 1.05 1211 mat 105.25 52.761 35.273 26.536 21.3 17.816 15.333 13.478 12.042 10.9 9.974 9.212 8.577 8.045 7.6 7.229 6.926 6.69 6.526 6.45 6.5 211 mat 31.667 15.924 10.682 8.065 6.5 5.461 4.722 4.173 3.75 3.417 3.149 2.933 2.756 2.614 2.5 2.413 2.353 2.321 2.325 2.375 2.5 211 mat 13 mat

FRAME 14 :

Y i 131 range j 119 range my i j el r FRAME el q j el t FRAME el / sin * : for for my 21 line :

The 3 vectors [t,R,r] ... The 3 matrices [X,Y,Z] do sanity check Mathcad 11.

X i 131 range j 119 range mx i j el R FRAME el p i el t FRAME el / sin * r FRAME el 1 q j el t FRAME el / cos - (* p i el t FRAME el / sin * - : for for mx 21 line :

Z i 131 range j 119 range mz i j el R FRAME el 1 p i el t FRAME el / cos - (* r FRAME el 1 q j el t FRAME el / cos - (* p i el t FRAME el / cos * + : for for mz 21 line :

X 3.572 - 4.055 - 4.572 - 5.097 - 5.601 - 6.056 - 6.438 - 3.825 - 4.341 - 4.895 - 5.457 - 5.996 - 6.483 - 6.893 - 4.002 - 4.543 - 5.123 - 5.711 - 6.275 - 6.785 - 7.213 - 4.102 - 4.657 - 5.251 - 5.853 - 6.432 - 6.954 - 7.393 - 4.122 - 4.679 - 5.277 - 5.882 - 6.463 - 6.988 - 7.429 - 57 mat

Y 2.263 - 2.504 - 2.609 - 2.574 - 2.4 - 2.096 - 1.68 - 2.263 - 2.504 - 2.609 - 2.574 - 2.4 - 2.096 - 1.68 - 2.263 - 2.504 - 2.609 - 2.574 - 2.4 - 2.096 - 1.68 - 2.263 - 2.504 - 2.609 - 2.574 - 2.4 - 2.096 - 1.68 - 2.263 - 2.504 - 2.609 - 2.574 - 2.4 - 2.096 - 1.68 - 57 mat

Z 10.108 10.387 10.685 10.988 11.279 11.542 11.762 9.591 9.799 10.023 10.25 10.468 10.665 10.83 9.043 9.178 9.323 9.469 9.61 9.737 9.844 8.477 8.535 8.597 8.661 8.721 8.776 8.823 7.901 7.882 7.861 7.84 7.82 7.801 7.786 57 mat

Rotation 230 ≡ Tilt 130 ≡ Twist 307 ≡ 31 line