http://blog.plover.com/physics/meter.html
Results 1 - 100 of about 1,170,000 for inches in one meter. (0.17 seconds)
one meter = 39.3700787 inches
More about calculator.
http://www.brocktonmass.com/weights/history.html
http://www.xtekxray.com/antikythera_images.htm
....at the last website is the complete schematic breakdown of the device, shown in five gear colors , blue, yellow-sun gear, green, orange purple and dark green. Thirty gear numbers are shown, each having one of the above colors. The key number constant used in all thirty gears is the modern metric to english conversion constant ...( 39.3700787 inches = 1 meter )... rewritten to this form :
39.3700787 / ( 10 ^ 3 ) = m = 1/25.4
....all thirty gears are linked and can be turned all at once by the rotation of any one gear in the system . I chose the blue(50) gear as a starting point and turned this gear exactly one-revolution or 360 degrees. The gematric formula for this angle is the sacred number 72 , times one half the metric standard 254 ( 254/2 = 127 ):
72 * 127 * m = 360 degrees
....this angle is transferred to the second blue(50) gear because of its being self similar to the first blue(50) gear. This angle is also transferred to the blue(32) gear because of a shared axle. The next step is the blue(32) gear's link to gear , blue(127) . This link is the famous sacred Alautun time cycle number ...2304...from Aztec and Mayan culture
http://www.earthmatrix.com/orbital/solar_system_maya.htm:
blue(127) = 2304 * m = 32 / 127 * 360 = 90.70866132 degrees
blue(24) = 2304 * m = 32 / 127 * 360 = 90.70866132 degrees
...that is when you turn the starter blue(50) gear 360 degrees, the blue(127) gear will turn 90.70866132 degrees. The blue(24) gear shares an axle with the blue(127) gear and thus shares the rotation of the blue(127) gear. Blue(24) gear then transfers this rotation to the blue(48) gear . This angle of rotation is the gematric number known as the Egyptian foot number ...1152...:
http://www.celticnz.co.nz/Clandonwebsitefiles/Clandon2a.htm
blue(38) = 1152 * m = 32/127*24/48*360 = 45.35433066 degrees
blue(48) = 1152 * m = 32/127*24/48*360 = 45.35433066 degrees
...blue(38) shares an axle with blue(48) and thus transfers this angle of rotation to the so-called Sun gear... yellow(64)..The number 19 appears here not as years of the Metonic cycle but as DAYS!! on the edge of gear wheels:
Sun gear = 36 * 19 * m = 32/127*24/48*38/64*360 = 26.92913383 degrees
....all of the green gears share the same angle of rotation as the Sun gear. The orange gears appear when the second gear with 38 cogs appears as orange(38). It has the same angle of rotation as the blue(38) gear:
orange(38) = 1152 * m = 32/127*24/48*360 = 45.3543306 degrees
orange(53) = 1152 * m = 32/127*24/48*360 = 45.3543306 degrees
...orange(53) shares an axle with orange(38) and thus transfers this angle of rotation to orange(96)
orange(96) = 25 + m = 53*12 * m = 32/127*24/48*53/96*360 = 25.0393700787 degrees
...orange(15) and orange(27) gears share axles with orange(96) and thus transfers angular rotation to the large gear purple(223):
purple(223) = 53*12*27*m/223 = 36*m+360/223 = 32/127*24/48*53/96*27/223*360 degrees
..purple(53) edges with purple(223) thus picking up an angular rotation of:
purple(53) = 54 * 6 * m = 32/127*24/48*27/96*360 = 12.7559055 degrees
purple(30) = 54 * 6 * m = 32/127*24/48*27/96*360 = 12.7559055 degrees
...purple(30) shares an axle with purple(53) and thus the same rotation. Purple(30) edges with purple(54) resulting in an angle turn of 7.086614166 degrees for purple(54):
purple(54) = 180 * m = 7.086614166 degrees
...three other gears share this angle of rotation and thus the same axle, purple(20) , dk green(53) , dk green(15). dk green(15) transfers the angle to gear dk green(60) and gear dk green(12) which shares an axle with dk green(60):
dk green(60) = 180 / 4 * m = 32/127*24/48*15/96*15/60*360 = 1.771653542 degrees
dk green(12) = 180 / 4 * m = 32/127*24/48*15/96*15/60*360 = 1.771653542 degrees
...dk green(12) transfers the angle of rotation to the last gear in the chain, dk green(60)
dk green(60) = 9 * m = 32/127*24/48*15/96*15/60*12/60*360 = .354330708 degrees
...showing the angles of rotation in spreadsheet form: cl = clockwise, ccl counterclockwise
| GEAR |
GEMATRIA |
GEAR RATIO |
ROTATION ANGLE |
| blue(50) |
72 * 127 * m |
1 |
360 ccl |
| blue(50) |
72 * 127 * m |
1 |
360 cl |
| blue(127) |
2304 * m |
32/127*360 |
90.70866132 ccl |
| blue(24) |
2304 * m |
32/127*360 |
90.70855132 ccl |
| blue(48) |
1152 * m |
32/127*24/48*360 |
45.35433066 cl |
| blue(38) |
1152 * m |
32/127*24/48*
360 |
45.35433066 cl |
| sun gear(64) |
36 * 19 * m |
32/127*24/48*
38/64*360 |
26.92913383 cl |
| green(32) |
36 * 19 * m |
32/127*24/48*
38/64*360 |
26.92913383 cl |
| green(32) |
36 * 19 * m |
32/127*24/48*
38/64*360 |
26.92913383 ccl |
| green(50) |
36 * 19 * m |
32/127*24/48*
38/64*360 |
26.92913383 ccl |
| green(50) |
36 * 19 * m |
32/127*24/48*
38/64*360 |
26.92913383 cl |
| orange(38) |
1152 * m |
32/127*24/48*
360 |
45.35433066 ccl |
| orange(53) |
1152 * m |
32/127*24/48*
360 |
45.35433066 ccl |
| orange(96) |
53*12 * m = 25+m |
32/127*24/48*
53/96*360 |
25.0393700787 cl |
| orange(15) |
53*12 * m = 25+m |
32/127*24/48*
53/96*360 |
25.0393700787 cl |
| orange(27) |
53*12 * m = 25+m |
32/127*24/48*
53/96*360 |
25.0393700787 cl |
| purple(223) |
53*12*27*
m/223 |
32/127*24/48*
53/96*
27/223*360 |
3.031672609 ccl |
| purple(53) |
54 * 6 * m |
32/127*24/48*
27/96*360 |
12.7559055 cl |
| purple(30) |
54 * 6 * m |
32/127*24/48*
27/96*360 |
12.7559055 cl |
| purple(54) |
180 * m |
32/127*24/48*
27/96*30/54*360 |
7.086614166 ccl |
| purple(20) |
180 * m |
32/127*24/48*
27/96*30/54*360 |
7.086614166 ccl |
| purple(60) |
60 * m |
32/127*24/48*
27/96*30/54*20/60*360 |
2.362204722 cl |
| purple(15) |
60 * m |
32/127*24/48*27/96*
30/54*20/60*360 |
2.362204722 cl |
| purple(60) |
15 * m |
32/127*24/48*27/96*
30/54*20/60*15/60*360 |
.59055118 ccl |
| dk green(53) |
180 * m |
32/127*24/48*27/96*
30/54*360 |
7.086614166 ccl |
| dk green(15) |
180 * m |
32/127*24/48*27/96*
30/54*360 |
7.086614166 ccl |
| dk green(60) |
180/4 * m |
32/127*24/48*15/96*
15/60*360 |
1.771653542 cl |
| dk green(12) |
180/4 * m |
32/127*24/48*15/96*
15/60*360 |
1.771653542 cl |
| dk green(60) |
9 * m |
32/127*24/48*15/96*
15/60*12/60*36 |
.354330708 ccl |
...how does this data relate to the earth-moon interaction? One can observe that the last gear in the chain of 360 degree rotation , blue(32)...if one makes this gear analogous to the moon lunar cycle...29.530588 days in one orbit around earth , then blue (32) and the lunar cycle share an axle that rotates 360 degrees. Transferring this 360 degree rotation of the lunar cycle to the earth cycle around the sun...365.246743 days in one tropical year , on this earth cycle axle , place the 5 sets of 47 (235) markings of the exterior dials of the device on the earth axis of rotation and multiply by the metric m :
29.530588 / 365.2467463 * 5 * 47 *m * 36 = 26.92913386 degrees = 19 * 36 * m = sun gear(64)
29.530588 / 365.2467463 * 235 / 254 = 26.92913386 degrees = 19 * 36 * m = sun gear(64)
...this is exactly the angle turned by the sun gear when the blue(50) gear is rotated once!! Checking the number constants I wanted to see if the number 37 is any where in the angles of rotation or in the gear numbers. Strangely it sits at the heart of the Earth/Moon link. When the lunar cycle 29.530588 days is rotated once (360 degrees) on the Earth cycle ..365.246743 days... an angle of rotation is generated on the Earth cycle rim:
29.530588 / 365.246743 * 360 = degrees of rotation of Earth orbit disc = 29.10638332
....37 derives this angle through the 47 markings on the outside dials of the device:
(( 37 ^ 2 ) - 1 ) / 47 = 29.10638332 degrees
...which means the 37 form can generate the sun gear angle for all of the green gears:
(( 37 ^ 2 ) - 1 ) / 47 * 235 / 254 = 26.92913386 degrees = 36 * 19 * m
....are the other planets represented on the Antikythera mechanism? The set up is related to the gematric numbers...1152 , 2304 , 180 , 36 ...etc.... multiplied by the modern metric to inch conversion constant .........m = 39.3700787 / ( 10 ^ 3 ).....and the gear numbers are representing the symbolic and correct gear ratios of the Sun , Moon , and Earth associations to their respective orbits around the sun measured in Earth days. The critical measure here is the association of the gear cogs in the wheels to planetary orbits measured in Earth days. Other than the moon , the brightest planets in the sky and their Earth day measured tropical year in one orbit are as follows:( Wikipedia)
VENUS = 224.70069 days .....used in formula 224.6842679
MARS = 686.96 days....used in formula 686.9439531
JUPITER = 4333.2867 days
MERCURY = 87.96955 days ....used in formula 87.96497629
...it was discovered that the Venus to Earth ratio multiplied by the Sun(64) gear was the source of the metric value m:
VENUS / EARTH * SUN(64) / ( 10 ^ 3 ) = m
....if the Venus gear 224.6842679 (imaginary) is rotated 360 degrees alongside the Earth gear 365.246742 (imaginary) , then this angle of rotation is the Sun gear's 64 (real) rotation since it is attached to the same axle as the Earth gear. The Sun gear's rotation is transferred to an imaginary gear with a circumference of ( 10^3 ) . This value is m and it is a percentage NOT an angle rotation. To find the angle rotation of the 10^3 gear multiply by 360 or m * 360 degrees equals the angle turn of the scalar gear 10^3 when the Venus orbit(gear) is rotated one revolution , 360 degrees. The only thing real in the equation is the Sun gear(64). This gear is key in the Antikythera device as to an explanation of the Mars , Jupiter , and Mercury orbits. How this formula was discovered, I can only comment that it "appeared" after working with the Sun gear's ratios and planetary orbits. This discovery goes to the heart of how immensely amazing the mechanical device is and how, whoever built it had a knowledge of astronomy and timekeeping that parallels modern measurement. The first planet, Mercury, is attached to the device's ( 224 ) gear that sits atop the Sun gear(64) through the metric constant m:
MERCURY / 224 + .001 = 10 * m
...the tetrakys 10 is key to the understanding of the remaining planetary orbits of Mars and Jupiter. If you rotate the Mars gear ( 686.96 ) exactly one revolution , 360 degrees , and transfer this rotation to the Jupiter gear ( 4333.2867 ) which is attached to the same axle as the Sun gear (64) , and let the Sun gear(64) transfer this angle of rotation to the Earth gear ( 365.246742 ) , the rotation placed upon the Earth gear is exactly 10 degrees !! Now this is incredible , the entire system of planetary gearing will create an exact logarithmic integer of rotation when the Sun gear is exactly 64:
SUMERIAN(36) = JUPITER * EARTH / MARS / SUN(64)
MARS / JUPITER * SUN(64) / EARTH * 360 = 10 degrees ......exact
....that is during one rotation of the Mars orbit frequency , when transferred to the gear chain above , the earth will rotate exactly 1/36th the part of its circumferential orbit about the sun. There are several gear trains in the Antikythera device that could use this information to perform this task of translating 1/36th Earth orbit change to a gear ratio. Here are some of the gears which are all multiples of 36 using 18 as a factor:
all green gears....................36 * 19 * m
purple gears (54) and (20)..........180 * m
dk green gears (53) and (15) .....180 * m
....the interesting thing about all of these forms is that they are used in Mayan mythology and in their calendar systems as shown below at this web site:
http://www.mayadiscovery.com/ing/history/tiempo/tiempo2ing.swf
....this is very important to the explanation of the Antikythera device because both the 1152 and 2304 units are Mayan calendar constants measured in DAYS !! the same as the Antikythera mechanism !!
" The unit of the Mayan calendar was the day , or kin. Following the chronological vigesmal system, 20 kins made up a uinal( or month ), 18 uinals ( the third position of the chronological system ) formed a tun, ( or a year of 360 days ):
