| Common Sexagesimal Measure (Year of 2800 B.C.) |
| 1 third (''') | = | 1/60'' | (0° 0' 0" 1''') |
| 1 second (") (sec.) | = | 60''' | (0° 0' 1") |
| 1 minute (') (min.) | = | 60" | (0° 1') |
| 1 degree (°) (deg.) | = | 60' | (1°) |
| 1 sextant | = | 60° | |
| 1 compass, or circle | = | 360° | |
| 1 compass point/angle | = | 11 1/4° | |
| 1 dozenth angle | = | 30° | (1 zodiacal constellation) |
| 1 octant | = | 45° | |
| 1 quintant | = | 72° | |
| 1 quadrant, or right angle | = | 90° | |
| 1 straight angle | = | 180° |
| 1 radian (rad.) | = | 57.295778° | = 360° ÷ 2π radius |
| 1° of arc | = | 0.0174532 rad. | = 2π radius ÷ 360° |
| 1 right angle of arc | = | 1.5707963 rad. | = 1/2π radius |
| 1 straight angle of arc | = | 3.1415927 rad. | = π radius |
| 1 circle of arc | = | 6.2831854 rad. | = 2π radius |
| π (pi) | = | 3.1415927 | = circumference of circle ÷ 2 radii |
| 1 arc mil | = | angle whose tangent is 1/1000 = approx. 1/6283 arc of circle |
| 1 U.S. Dragoons mil | = | 1/6280 arc of circle |
| 1 U.S. Artillery mil | = | 1/6400 arc of circle | = 3.375' of arc | (horse, field, & garrison artillery) |
| 1 builders' triangle | = | 3 x 4 x 5 right angle triangle |
| 12 | = | 3 + 4 + 5 |
| 2 units of arc | = | 12 units circumference of circle ÷ by that circle |
| 2 hr. of time | = | 12 hr. of time circumf. of clock face ÷ by that clock face |
| 60 | = | 3 x 4 x 5 |
| 10 units of arc | = | 60 units circumference of circle ÷ by that circle |
| 10' of time | = | 60' of time circumference of clock face ÷ by that clock face |
| 10" of time | = | 60" of time circumference of clock face ÷ by that clock face |
| 60° of arc | = | 360° circumference of circle ÷ by that circle |
| hypotenuse squared | = | short side r/a triangle sq. + other short side r/a triangle sq. |
| 25 | = | (3 x 3) + (4 x 4) = 5 x 5 |
| 216 | = | (3 x 3 x 3) + (4 x 4 x 4) + (5 x 5 x 5) = 6 x 6 x 6 |
| 1/1000" of arc Equator/mer. | = | one side of 1 fl.oz. cube of common fluid measure (1.216 in.) |
| 6/6080" of arc Equator/mer. | = | one side of 1 et.oz. cube of The Britains explicit measure = 1.2 in. (Yr.1826) |
| • | ||
| 86400" sidereal time | = | 86164" solar time |
| 86400" solar time | = | 86636.64" sidereal time |
| 86400" of time | = | 6 x 60/15 x 60 x 60" of time | (60 - sexagesimal) |
| 1,296,000" of arc | = | 6 x 60 x 60 x 60" of arc | (60 - sexagesimal) |
| 1,296,000" of arc | = | 6 x 216,000" of arc |
| 216,000 | = | (6 x 6 x 6) x (10 x 10 x 10) = 216 x 1000 |
| Babylon/Assyria cube | = | (6 x 10) x (6 x 10) x (6 x 10) = 60 x 60 x 60 = 216,000 |
| Egypt/Arabic cube | = | 10 x 10 x 10 = 1000 |
| 1.216 | = | ((10 x 10 x 10) ÷ 1000) + ((6 x 6 x 6) ÷ 1000) |
| 1 Equator / meridian | = | 1.216 in. x (10 x 10 x 10) x ((6 x 10) x (6 x 10) x (6 x 10)) x 6 |
| 1' of arc of Equator | = | 10 ntl. cables = 6080 ft. = 1 ntl.ml. = 4" sidereal time |
| 1" sidereal time | = | 15" of arc of Equator = 1520 ft. = 1000 egyptian cubits |
| 1 nautical cable | = | 101 1/3 fth. = 608 ft. = 6" arc of Equator = 6/15" sidereal time |
| 1" of arc of Equator | = | 101 1/3 ft. = 1/15" sidereal time |
| 1.216 in. | = | 101 1/3 ft. ÷ 1000 |
| 1.800 cu.in. (1 fl.oz.) | =/> | 1.798045696 cu.in. = 1.216 x 1.216 x 1.216 in. |
| 7000 gr. (1 av.lb.) | = | 16 av.oz. |
| 437500 gr. | = | 16000 av.dr. or 8000 av.dhm. |
| 437500 gr. | = | 1000 av.oz. distilled water @ maximum density @ 39.2° |
| 1 cu.ft. | = | 1000 av.oz. distilled water = 1728 cu.in. = 12 x 12 x 12 in. |
| 1000 av.oz. distilled water | = | 960 farthings = 240 pennies = 20 shillings = U.S. £1 pound |
| 1.800 cu.in. (1 fl.oz.) | = | 1728 cu.in. (or 1000 av.oz. distill. water) ÷ 960 = 1 farthing |
| • | |||
| Babylon/Assyria cube | = | (6 x 10) x (6 x 10) x (6 x 10) | (216,000) |
| Egypt/Arabic cube | = | 10 x 10 x 10 | (1000) |
| 216 | = | 6 x 6 x 6 | |
| 1000 | = | 10 x 10 x 10 |
| 1.216 | = | ((10 x 10 x 10) ÷ 1000) + ((6 x 6 x 6) ÷ 1000) |
| 1 Equator / meridian | = | 1.216 x 108,000,000 feet | (131,328,000 ft.) |
| 1 sextant of Eq./mer. | = | 1.216 x 18,000,000 feet | (21,888,000 ft.) |
| 1 degree Eq./mer. | = | 1.216 x 300,000 feet | (364,800 ft.) |
| 1 minute Eq./mer. | = | 1.216 x 5000 feet or 1 militia mile | (6080 ft. or 1 ntl. mile) |
| 1 second Eq./mer. | = | 1.216 x 1000 inches | (1216 in.) |
| 1/10 sec. Eq./mer. | = | 1.216 x 100 inches | (121.6 in.) |
| 1/100 sec. Eq./mer. | = | 1.216 x 10 inches | (12.16 in.) |
| 1/1000 sec. Eq./mer. | = | 1.216 x 1 inch | (1.216 in.) |
| 1 fluid ounce (1.80 cu.in.) | =/> | 1.216 x 1.216 x 1.216 inch | (1.798045696 cu.in.) |
| 1 fl.oz. (1.800 cu.in.) | = | 1 av. ounce wine or butter | (437 1/2 grains) |
| 1 fl.oz. (1.800 cu.in.) | = | 1000/960 av.oz. distilled water @ max.dens. @ 39.2° |
| 1.728 cu.in. | = | 1 av.oz. d. water @ max.dens. | (1.2 x 1.2 x 1.2 in.) |
| 1.728 cu.in. | = | 1 av.oz. distilled water @ max.dens. | (1.0000000 specific gravity) |
| 1.872 cu.in. | = | 1 av.oz. olive-oil | (0.9230769 (12/13) specific gravity) |
| 1.800 cu.in. (1 fl.oz.) | = | (1/2 av.oz. olive-oil) + (1/2 av.oz. d. water) | (0.9600000 specific gravity) |
| 1.000 cu.in. | = | 1 av.oz. ivory | (1.7280000 specific gravity) |
| 1 cu.ft. | = | 960 av.oz. wine = 1728 cu.in. | (12 x 12 x 12 in.) |
| 1 cu.ft. | = | 1000 av.oz. d. water = 1728 cu.in. | (12 x 12 x 12 in.) |
| 1 cu.ft. | = | 60 av.lb. wine | (3 + 4 + 5 = 12) | (3 x 4 x 5 = 60) |
| 1 cu.ft. | = | 1000/16 av.lb. distilled water @ max.dens. @ 39.2° |
| 1 cu.ft. | = | 1000/16 troy lb. wheat |
| 1 cu.ft. | = | 64 av.lb. sea water | (1 av. bushel sea water) |
| 1 cu.ft. | = | 60 fl.pt | 1 fluid pint | = 28.8000 cu.in. |
| 1 cu.ft. | = | 360/7 dry pt. | 1 dry pint | = 33.6000 cu.in. |
| 1 cu.ft. | = | 60/8 fl.gal. | 1 fluid gallon | = 230.400 cu.in. |
| 1 cu.ft. | = | 360/56 dry gal. | 1 dry gallon | = 268.800 cu.in. |
| 1 cu.ft. | = | 3(4 in.) x 4(3 in.) x 5(2.4 in.) | (1728 cu.in.) | (60 fl.pt.) |
| 1 cu.ft. | = | 8(1.5 in.) x 10(1.2 in.) x 12(1 in.) | (1728 cu.in.) | (960 fl.oz.) |
| 1 cu.ft. | = | 10(1.2 in.) x 10(1.2 in.) x 10(1.2 in.) | (1728 cu.in.) | (1000 av.oz. water) |
| 960 fl.oz. (1 cu.ft.) | = | 960 farthings = 240 pennies = 20 shillings = U.S. £1 pound |
| 960 av.oz. wine | = | 960 farthings = 240 pennies = 20 shillings = U.S. £1 pound |
| 1 av.lb. sea water | = | 27.000 cu.in. | ||
| 1 tower lb. ethyl alcohol | = | 27.000 cu.in. | ||
| 1 av.lb. distill. water | = | 27.648 cu.in. | (U.K. Yr.1826) | (1 et.pt.) |
| 1 troy lb. wheat | = | 27.648 cu.in. | ||
| 1 av.lb. wine | = | 28.800 cu.in. | (1 av.lb. butter) | (1 fl.pt.) |
| 1 troy lb. ethyl alcohol | = | 28.800 cu.in. | ||
| 1 av.lb. wheat | = | 33.600 cu.in. | (1 dry pt.) | |
| 1 long lb. wheat | = | 34.560 cu.in. | ||
| 1 av.lb. rye | = | 34.560 cu.in. | (U.K. Yr.1826) | (1 imp.pt.) |
| 1 av.lb. ethyl alcohol | = | 35.000 cu.in. | (1 ex.pt.) |
| 1/1000" of arc Equator/mer. | = | one side of 1 fl.oz. cube of common fluid measure (1.216 in.) |
| 1 circle or Eq./mer. | = | 6 sextants | (131,328,000 ft.) |
| 1 sextant circle or Eq./mer. | = | 60 degrees | (6 x 10) | (21,888,000 ft.) |
| 1 degree circle or Eq./mer. | = | 60 min. of arc | (6 x 10) | (364,800 ft.) |
| 1 minute circle or Eq./mer. | = | 60 sec. of arc | (6 x 10) | (6080 ft. or 1 ntl. mile) |
| 1 second circle or Eq./mer. | = | 1/60 min. of arc | (1216 in.) | |
| 1 sidereal day or Equator | = | 6 sextants | (131,328,000 ft.) | |
| 1 sextant sidereal day | = | 4 hours | ((6 x 10) ÷ 15) | (21,888,000 ft.) |
| 1 hour sidereal day | = | 60 min. of time | (6 x 10) | (5,472,000 ft.) |
| 1 minute sidereal day | = | 60 sec. of time | (6 x 10) | (91,200 ft. or 15 ntl. miles) |
| 1 second sidereal day | = | 1/60 min. of time | (1520 ft.) |
| 1 explicit ounce | = | 1.2 x 1.2 x 1.2 inch | (1.728 cu.in.) | (Yr.1826) |
| 1 et.oz. (1.728 cu.in.) | = | 1 av.oz. distilled water @ max.dens. @ 39.2 F | (Yr.1826) |
| 1 cu.ft. | = | 1000 av.oz. distilled water = 1728 cu.in. | (12 x 12 x 12 in.) |
| 1000 et.oz. (1 cu.ft.) | = | 1000 mills = 100 cents = 10 dimes = U.K. $1 dollar | (Yr.1826) |
| 1000 av.oz. distilled water | = | 1000 mills = 100 cents = 10 dimes = U.K. $1 dollar | (Yr.1826) |
| 6/6080" of arc Equator/mer. | = | one side of 1 et.oz. cube of The Britains explicit measure = 1.2 in. | (Yr.1826) |
| LEATHER SEALER'S OFFICE, Londonderry, Vt. | April 8th 1826 | Rory Ely Cole |
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| Copyright © MMII Rory Ely Cole |