CONSTANTS. 



163 



Table XIII.— Constants. 



7t =3.141593 



log. ir =0.4971499 



180= 1 



— = arc 10 — 57° .29578=57° 17' 44".8: log. = 1. 7581226 



1 0800'_ 1 =3447 , 74677 . log. =3. 5362739 

 r „ _648000" _ _._l__o 6264".80625: log —5. 314*251 



comp. log.=4. 6855749 

 =log. sin 1" 

 Log. 



Number of degrees in circumference 360=2. 5563025 



Number of minutes in circumference 21, 600=4. 3344.138 



Number of seconds iu circumference 1, 296, 000=6. 1126050 



, Length of arc of 1 degree 01745329 8. 241S774— 10 



Length of arc of 1 minute 00O2HO89 6. 4037261—10 



Length of arc of 1 second 000004848=4. 6855749—10 



Constants of generating ellipse of Clarke's spheroid. 



Log. 

 o=semima.lor axis=20, 926, 062 feet, 7. 3206875 

 6=semiminor axis=20, 855, 121 feet, 7. 3192127 

 e i— ( 1— b l \ =0. 00676866 7. 8305030—10 



n=(l— vi^')(l+ vT^i 2 )-'= 0.00169792 7.2290162—10 



Length of the meter in inches according to various authorities. 



Inches. 

 1 meter=39. 370432. Clarke, 1866-1873. 

 =39. 370790, Kater, 1818. 



=39.368505, Coast Survey, 1851-1858 (Hassler corrected). 

 =39.38092, Hassler, 1832. 

 =39. 36985, Lake Survey, 1885. 



=39.377786, Theoretical ten-millionth of quadrant (Clarke). 

 =39. 37, By act of Congress, 1866. 



The standard meter has its normal length at 32° F. 

 The standard yard has its normal length at 62° F. 

 The value first given is the one generally adopted by scientific men in 

 the United States. 



Values adopted in the measurement of an arc of parallel extending from Ireland to the river Ural in Russia, 

 as the exact relative lengths of standards used as the units of measure in the triangulations of England, 

 France, Belgium, Prussia, and Russia. 



The yard . 

 The toise . 

 The meter 



terms of the 

 standard yard. 



1.00000000 



2. 13151116 



1.09362311 



36. 110(11 



76. 734402 

 39. 370432 



Expressed in 



lines of the 



toise. 



405. 34622 

 804. 00000 

 443. 29600 



914. 39180 

 1, 949. 03632 

 1, 000. 00000 



CONVERSION TABLES. 



Table XIV. — Meters into yards. 



[Extracted from Appendix No. 6, TJ. S. Coast and Geodetic Survey Report for 1884]. 



[1 meter = 1.093623 yards.] 



