Translating coordinates to distances

31°50′26″N 34°59′30″E Imwas
31°50′22″N 34°59′22″E Emmaus Nicopolis

N/S

° = 40 000 km / 360
' = 40 000 km / (360*60)
" = 40 000 km / (360*60*60)

4*40 000 km / (360*60*60) = 0.123 456 790 123 456 8[km]

= 123.46 metres.

E/W the parallel circle for 31 ° / 32 ° N is how long? Call it x.

8x / (360*60*60)

Look it up .... lacks on English, but exists on French wiki:

34 381 km 31°
34 018 km 32°

Do an average which might be accurate for 31 ° 50 '

32° 50 c. (5*34 018 + 34 381)/6 = 34 078.5 km

Calculate the W to E distance:

8*34 078.5 / (360*60*60) = 0.210 361 111 111 111 1 km

N to S and W to E are like cathetes of a triangle, so direct distance would be looking for the hypothenuse, according to Pythagoras' theorem (changing fractions of km to m, now):

210.361 111 111 111 1^2 + 123.456 790 123 456 8^2 = 59 493.376 095 488 490 371 8
sqrt(59 493.376 095 488 490 371 8)= 243.912 640 294 611 403 256 9

So, the distance Jerusalem Imwas is also the distance Jerusalem Emmaus Nicopolis. Yes, I know there is a certain conundrum between this present distance and the one given in standard text of St. Luke. So, I wanted to know if Imwas and Emmaus Nicopolis are two different or same candidate for distance to Jerusalem, they are the same.

Meanwhile, the conundrum can be solved, I was doing this calculation in an attempt to calculate this while asking for an answer from one who was down there, which I want to know for verification of solution.

To do calculations, I used:

https://web2.0calc.com/

Hans Georg Lundahl
Paris XI
St. Augustine of
Hippo Regia*
28.VIII.2019

* Hippone Regio, in Africa, natalis sancti Augustini Episcopi, Confessoris et Ecclesiae Doctoris eximii, qui, beati Ambrosii Episcopi opera ad catholicam fidem conversus et baptizatus, eam adversus Manichaeos aliosque haereticos acerrimus propugnator defendit, multisque aliis pro Ecclesia Dei perfunctus laboribus, ad praemia migravit in caelum. Ejus reliquiae, primo de sua civitate propter barbaros in Sardiniam advectae, et postea a Rege Longobardorum Luitprando Papiam translatae, ibi honorifice conditae sunt.