Convert Centesimal Seconds to Signs
Convert Centesimal Seconds (c″) to Signs (sign) instantly and accurately.
Conversion Formula
sign = c″ × 3.000000000e-6
About Centesimal Seconds
A centesimal second (c″) is 1/10,000 of a gradian - exactly π/2,000,000 rad ≈ 1.5708 × 10⁻⁶ rad. In the gradian hierarchy, 1 right angle = 100 grad = 10,000 c′ = 1,000,000 c″. High-precision total stations calibrated in gons report to 0.1-1 c″, equivalent to ~0.0324 arcseconds. Used in French, Dutch, Swiss, and Scandinavian cadastral surveys. DIN 1313 designates 10 c″ = 1 milligon (mgon). 1 c″ ≈ 0.324″ sexagesimal = π/2,000,000 rad.
About Signs
An astrological sign equals 1/12 of a full circle - π/6 rad = exactly 30°. The zodiac divides the ecliptic into twelve 30° signs (Aries through Pisces), originating in Babylonian astronomy ~5th century BCE. Historical ecliptic longitude was expressed as sign + degrees: "Scorpio 12°" = 222°. The 30° spacing also appears in music theory: the circle of fifths has twelve equally spaced positions 30° apart, and the octave divides into 12 equal semitones. 1 sign = 30° = 1,800′ = π/6 rad = 533.3 NATO mils.
Quick Reference Table
| Centesimal Seconds (c″) | Signs (sign) |
|---|---|
| 1 c″ | 3 × 10-6 sign |
| 2 c″ | 6 × 10-6 sign |
| 5 c″ | 1.5 × 10-5 sign |
| 10 c″ | 3 × 10-5 sign |
| 25 c″ | 7.5 × 10-5 sign |
| 50 c″ | 0.00015 sign |
| 100 c″ | 0.0003 sign |