This post shows by common clock 'tics' mnemonic Tangent forces that occur in rigging, knotting, pulling,animating etc.
Being able to view this shows how much 'respect' to give something by how much 'authority' it has, and the 'cost' of changing it;
in these separate, but really redundant forms; as we scrape this down to it's schematic of forces skeleton.
Tangent table allows you to go straight from Load force to side force
>>usually must calc load divided by cosine = line tension, then line tension X sine to get side force
So, a QUICK tangent table when have some idea of Load force/weight makes things quite easy, skipping a step
>> Tangent does this by simply being = sine divided by cosine to do the math in 1 move, especially in the rounded numbers at the clock tics!
(if knew line tension could shortcut just as well to multiply by sine, but load more likely to be known or guessed, than line tension)
As all the clock metaphors this works best in the first 'month' in any of the 4 'seasons' of the clock
>>original Babylon clock made from star rotations showed months (12-1 etc) 3 at a time to make a 'season' quadrant
>>circles are simply the same, 4 quadrants of 90degree rules , that can be broken to 3 divisions each(of 30 degrees just as days): extreme changes sine, moderate changes both, extreme changes cosine to make up the 3 'months' of a 90degree 'season'.
>>these 'months' of the each 90 degree arc, fall neatly into 12-1,1-2,2-3 etc. on the clock, just as calendar months do!
The clock again for tangents (like sine and cosine)gives the degree markings, and the number scale gives number mnemonic (most accuracy in first 'month'/somewhat into first half of the 'season' as most used anyway)
Thumbrules by nature and name allow some err, but these clock rules stick pretty close to actual degrees, especially in the first 'month' 12-1 of each 'season'
>>Original Babylon clock was also calendar of 4 seasons of 3mos ea. 12mos. of nights expanded from 12hrs of a single night
>>Derived from stars circling position 1x/yr. so 365 rounded to 360degrees for some inherent err anyway(~1.3%)... (so scientists, engineers and cartoonists etc. use radians instead)
radian is ~57 degrees: the point were the arc of the circle = radius, as most accurate science. So that PI x Radian = 180, or 2x PI x Radian =360 circle
for backyard, on the job guesses, i stick with degrees, using clock metaphor to simplify positions by clock tics/hashes, and values by clock numbers associated.
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Also, here; 44% becomes 4x, then plus 10% of that product for total percentage , perhaps more quickly.
