Let’s Examine 1° Angle to Figure Out If The Arc is Longer or Shorter Than The Outer Base Line

PhotoEditor_20190912_123841843.jpg

This picture is not 1°. Only to give an illustration and the formula of Inner Base Line, Outer Base Line and the Neck — with easier way,

Radius = 1,000,000 meters.

For 1°,

Inner Base Line = 17,453. 07 meters

Outer Base Line = 17,453. 73 meters

Pi’s 1° Arc = 17,453. 29 meters

Phew’s 1° Arc = 1/360 × 6.34314 × 1,000,000 meters = 17,619.85 meters

The Neck = 38.07 meters

This Neck can also be described as the DISTANCE between Inner Base Line and Outer Base Line, at which the Arc stays and goes curved from an edge of the base line to the center of the outer base line to its another edge.

The inner base line while shifting as far as the neck’s distance, to be at the position of the outer line, the additional length equals outer base line – inner base line = 17,453. 73 meters – 17,453. 07 meters = 0.66 meters AKA 66 centi meters.

The Question is: IS IT POSSIBLE IF ON A BASE LINE WITH 17s KILOMETERS LENGTH STAYING AN ARC WHOSE LENGTH EQUALS INNER BASE LINE PLUS SOMETHING BETWEEN 0 CM AND 66 CM??

Or, the length shifting/pushing/bending from the arc (17,453. 29 meters) to be the inner base line (17,453. 07 meters)
takes only 22 CENTImeters.

While..

the Neck much exels the 22 cm of additional length. Its length magnitude equals 38.07 METERS.

“22 CENTImeters produces 38 METERS”.

Is it logical? No-one would think so.~

Phew claims the arc length for 1° equals 17,619.85 meters. The difference between the Phew arc and the inner base line equals 17,619.85 meters – 17,453.07 meters = 166.77 meters.

Pi’s difference of 22 CENTImeters
VERSUS
Phew’s difference of 166.77 METERS,

Which one has the more possible ability to lift the 1° neck of 38.07 METERS?

Certainly it’s Phew’s 166.77 METERS.

Since the outer base line length is slightly identical with pi’s arc length, outer base line length is also unsufficient to resemble the arc length whose neck equals 38.07 METERS.

Polaris Orientation is Not Sufficient: A Lot of Sailors and Cargo got Lost in the beginning of Intercontinent Sailings

Polaris maybe useful for defining the North direction. But not necessarily for the right path towards the destination. North is actually dinamic, every place has its own North.

Long distance sailings with straight path, either westwards or eastwards, gives shifting of latitude because the latitude and longitude grids are curved as shown at the picture below. img_20190119_194157

Pi vs Phew in 1D: After Previous 15° Test, NOW >> 7.5° Test

Pi’s teritory is circular area (2D).

Phew’s territory is circumference (1D).

Let’s examine 1D stuff in which Phew rules.

 

Scale of Radius = 1×100 Cm = 100 Cm AKA 1 Meter

Base Line = 13.0806 Cm

Pi’s arc = 13.0899 Cm

Phew’s Arc = 13.2149 Cm

Neck = 0.2141 Cm

Even worse for Pi:

The difference of Pi’s arc  vs Base Line =

13.0899 Cm – 13.0806 Cm = 0.0093 Cm AKA 0.093 Milimeter.

It even does not touch 1/10 Millimeter.

The question is: If 7.5° Pi’s arc was correct, -after getting bent or pressed with 0.0093 Milimeter displacement- it would be able to lift a neck of 0.2141 Cm as required by a perfect 7.5° of arc.

Can the difference 0.093 Milimeter ‘produce’ a neck of 0.2141 Cm??

No one can imagine it would happen.

What about Phew?

Its arc equals 13.2149 Cm and the difference with the base line equals 13.2149 Cm – 13.0806 Cm =  0.13426 Cm.

Does it make sense that the difference 0.13426 Cm (between Phew’s 7.5 Cm arc and the Base Line) can create a neck of 0.2141 Cm?

Why not? 🙂