Amanda Rivera

From Earth’s Equatorial Circumference in Km to Distance Piece Dial

From Earth’s Equatorial Circumference in Km to Distance Piece Dial

 

From Distance Piece Dial to Earth’s Equatorial Circumference in Chkm & Km

From Distance Piece Dial to Earth’s Equatorial Circumference in Chkm & Km

Looking at Pg.16, Fig. 9 At A we see the Earth with 40075 Km Circumferential distance and at B converted to 86400 Chkm (L= l Length). At C we see half of A’s Circumferential distance i.e. 20037.5 km at D we see half of the distance at B and 20037.5 km converted into 43200 Chkm (E= 1 Extent). At E we see the distance of 43200 Chkm converted into a elliptical shape. At F this is shown as a regular circle having 43200 Chkm = 1E. At G, F is repeated and divided into 12 parts, (this depicts half the Earth’s Circumfrential distance i.e.43200Chkm = E). At G’ we see the magnification of one of the 12 divisions (between 12 and 1) which also gives us 3600 Chkm = 1 Basic (B)  divided further into 5 parts each of 720 Chkm and which is further divided into 12 divisions, such that when we multiply these 12 divisions by 5 divisions we get 60 divisions each = 1 Range ( R ) and finally 1/12 of  720  which is 60, which in turn gives us 60 Portions each  = 1 Portion ( P ) so that when we multiply 60 P by  60R we get 3600 Chkm. At H we have constructed a Distance Piece of 60 Chmm (not to Scale) circumference having similar divisions as shown in figure G.

 

43200 Chkilometers x 1000   =          43,200,000 Chmeters

scaling down by 1000

 

43,200,000                              =          43,200 Chmeter

1000

 

43,200 Chmeters x 1000          =          43,200,000 Chmillimeters

scaling down by 1000

 

43,200,000                              =          43,200 Ch millimeters

1000

 

 

\43,200 Ch Kilometers scaled down by     _ 1__ _x  __1___  ₌  ___1____  

= 43,200 Ch millimeters                               1,000       1,000         1,000,000       

 

 

43,200 Chmm ¸ 12      = 3,600 Chmm       3,600 Chmm ¸ 60   =     60 Chmm

 

 

We have now a dial of 60Chmm circumference divided into 12 parts, further divided into 5 parts see Page 16 figure G – G’. [See also Page 14, Fig.7]

 

Note: Symbols used in this book –

 

D=Dial                                  F=Face                             D_F =Dial Face

D_F B=Dial face Basic           D_F R=Dial face Range    D_F P=Dial face Portion

D_F E =Dial face Extent

Note:-( 4 ) (The DISTANCE PIECE Divisions have been made in accordance with our TIME PIECES i.e.2x(12x60x60) =2x(43200)=86400 so that  it would be easy to read  and understand the Distance Pieces as we are now reading   and  understanding   the  Time Pieces.)

Note:-( 5 ) The disadvantage of the distance piece with 25 divisions as shown on Page 12, Fig 5 the dial would be too big, as we can not divide 25 into 2 equal and decimal free parts. Also it would be difficult for people used to using the normal time pieces to use such a distance piece. So the distance piece with the same divisions as the common time piece has been chosen for simplicity sake.

A Chotu Kilometer = 0.463831km which when multiplied by 86400would give us 40075 Km which is L = The Earth’s Equatorial Circumferential Distance See Notation on page 13.

We Construct a Distance Piece with 240Chmm Circumference See Fig. 8 (240Chmm x.463831 = 111.3mm / 3.1416=35.4^f mm)  This 240 Chmm Circumference we further divide into 12 main divisions each of 20 Chmm and these 12 main divisions we further divide into 5 smaller divisions. i.e. 20Chmm/5=4Chmm each ( 4x 0.463831=1.855324 » 1.9mm say roughly 2mm )

Fit a suitable gear mechanism in this distance piece so that the tip of the needle B is Matched to move exactly twice around the dial (starting dead middle 12 to 12 and then dead middle 12 again) i.e. from one sunrise to another sunrise, so that this will give us l L = 86400 Chkm (0.463831 x 86400ChKm= 40075 Km) for two complete Dial revolutions i.e.2x 240Chmm (= 480Chmm); 2 Dial would Represent  86400Chkm = 1L (0.463831 x 86400Chkm = 40075 Km) and for one  Dial  i.e.240Chmm=1Dial would represent 86400Chkm/2=  43200Chkm=1E= (20037.5km)

Needle P Movement 1 P = 4Chmm 1R  = 60 P = 60 x 4Chmm = 240Chmm 1B  = 60 R = 60 x 60 P = 60 x 60 x 4 Chmm = 14400Chmm 1E   =12B = 12 x 60R = 12 x 60 x 60P = 12 x 60 x 60x 4Chmm =172800mm 1L  = 2E = 2 x12 x 60 x 60x 4 Chmm =345600mm Needle R Movement 1 R = 4Chmm 1B = 60 R=  (60 x 4Chmm) = 240Chmm 1E = 12B = 12 x (60 x 4Chmm) = 2880Chmm 1L=2E= 2 x 12(60x4Chmm)=5760Chmm   Needle B Movement 1 B = (4Chmm x 5)  = 20Chmm 1 E = 12 B  = 12(4Chmm x 5) = 240Chmm 1 L = 2x12B = 2×12(4Chmmx5) = 480Chmm

1/60 Dial 1 Dial   60  Dials       720 Dials   1440 Dials     1/60 Dial 1 Dial   12 Dials 35.4 x 3.1416 » 111.3 mm 111.3 ¸ .463831 » 240 Chmm =  1/360,000,000 of EECL                                   Figure 8 24 Dials     1/12 Dial 1 Dial   2 Dial