Question 23: Trigonometry without equations (Upper Palaeolithic).

QUESTION 23.

TRIGONOMETRY WITHOUT EQUATIONS (Upper Palaeolithic).

θ = s/60 × 2π

y = sin(θ) = -0.30901699437494

x = cos(θ) = 0.95105651629515

a. Solve for θ and s.

sin^-1(y) = θ – 2π = -π/10

θ = 2π + sin^-1(y) = 19π/10

cos^-1(x) = 2π – θ = π/10

θ = 2π – cos^-1(x) = 19π/10

19π/10 = s/60 × 2π

19/20 = s/60

s = 19/20 × 60 = 57

b. Re-divide s by 60 to get s/60. Then choose k for minutes (m) and add k + s/60 to get m. Then divide m by 60 and choose k for hours (h) then add k + m/60 to get h. Then divide h by 24 and choose k for days (d) then add k + h/24 to get d. Then divide d by 30 and choose k for months (M) then add k + d/30 to get M. Then divide M by (73/6) and choose k for years (y) then add k + M/(73/6) to get y.

Tip: choose a meaningful k for years (y), especially if you have sinned, such as the Upper Palaeolithic, 50,000 to 10,000 years ago. For example, if you are a child abuser, this is a place and time where you can find relative innocence. For a full understanding of this read https://crimetravel.co.uk.

s/60 = 57/60 = 19/20

k = m – s/60 = 44

m = k + s/60 = 899/20

m/60 = 899/1200

k = h – m/60 = 21

h = k + m/60 = 26099/1200

h/24 = 26099/28800

k = d – h/24 = 15

d = k + h/24 = 458099/28800

d/30 = 458099/864000

k = M – d/30 = 5

M = k + d/30 = 4778099/864000

M/(73/6) = 4778099/10512000

k = y – M/(73/6) = 13423

y = k + M/(73/6) = 141107354099/10512000

c. Choose and workout the magnitudes of T^1, T^-1, T^2 and T^-2, also workout t, A and B.

T^1 = √(A/B) = 10^12 ps

T^-1 = √(B/A) = 10^-12 Ts

T^2 = A/B = 10^24 ps²

T^-2 = B/A = 10^-24 Ts²

t = A/T^1 = y × 31536000 = 4.23322062297 × 10^11 s

A = tT^1 = X × 10^11 × 10^12 = X × 10^23 ps

B = A/T^2 = X × 10^23 / 10^24 = X × 10^-1 Ts

d. Although you have done it forward or ascending, undo or reverse-workout the integers and decimals of the different time units backward or descending.

M/(73/6) = y – k = 4778099/10512000

M = (y – k) × (73/6) = 4778099/864000

k = M – d/30 = 5

d/30 = M – k = 458099/864000

d = (M – k) × 30 = 458099/28800

k = d – h/24 = 15

h/24 = d – k = 26099/28800

h = (d – k) × 24 = 26099/1200

k = h – m/60 = 21

m/60 = h – k = 899/1200

m = (h – k) × 60 = 899/20

k = m – s/60 = 44

s/60 = m – k = 19/20

s = (m – k) × 60 = 57

e. Check months with days.

y – d/365 = t / 31536000 – d/365 = 13423

d – h/24 = (y – k) × 365 – h/24 = 165

h – m/60 = (d – k) × 24 – m/60 = 21

m – s/60 = (h – k) × 60 – s/60 = 44

s – cs/100 = (m – k) × 60 – cs/100 = 57

13423 years 165 days 21:44:57

13423 years 5 months 15 days 21:44:57

Hand written example:

The Upper Palaeolithic is the third and last subdivision of the Palaeolithic or Old Stone Age. Very broadly, it dates to between 50,000 and 10,000 years ago (the beginning of the Holocene), according to some theories coinciding with the appearance of behavioural modernity in early modern humans, until the advent of the Neolithic Revolution and agriculture. Again, for example, if you are a child abuser, this is a place and time where you can find relative innocence. For a full understanding of this read https://crimetravel.co.uk.

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Hunting the cave bear, Upper Palaeolithic. http://www.proistoria.org/upper-paleolithic-by-zdenek-burian.html

Author:

Consider compassion, how can Australopithecus or Lower Palaeolithic man be compassionate toward animals, when they themselves were not yet masters of the animal kingdom or even worse still prey themselves? It is impossible, compassion simply did not exist. Compassion is technical, in that you must, for instance, first attain advanced weapons, technologies and infrastructure such as gunpowder, muskets, rifles, nuclear weapons, automobiles, militaries, police, emergency services, roads, buildings, bridges and skyscrapers etc before you can be compassionate toward animals. It is not a case of hey compassion for compassion’s sake like the Buddha. Compassion is not free of charge, it is a definite and tangible deal or bargain. Only now that I am invincibly safe and secure from wild animals in my city, town or fortress and surrounded by guns, and now that I have an overabundance and surplus of food, energy and resources etc can or will I be compassionate toward animals. It is like saying to ‘bear’ “I have a nuke now, therefore I am compassionate toward you.” This is something bear will never understand, in that it is ironic that once you attain nuclear weapons that you are therefore by definition compassionate toward animals. To reiterate, compassion is something technical, it is only attained through a collective effort, through taming the wild and through civilisation. You can only be compassionate once there is no competition.

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