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Snellius Construction Mystery Cache

This cache has been archived.

Vertighost: Since there has been no response by the cache owner within the time frame requested in the last reviewer note, I have archived this cache. Please note that caches that have been archived for maintenance issues or lack of cache owner communication are not eligible to be unarchived.

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Hidden : 6/26/2011
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


*** CACHE IS NOT AT THE LISTED COORDINATES ***

BACKGROUND:

Willebrord Snell (1580–1626), also known as Snell van Royen or Snellius, was a Dutch astronomer and mathematician, most famous for the law of refraction now known as Snell's Law.

Snell was born at Leiden. In 1613 he succeeded his father Rudolph Snell as professor of mathematics in the University of Leiden. In 1615 he planned and carried into practice a new method of finding the radius of the earth, by determining the distance of one point on its surface from the parallel of latitude of another, by means of triangulation. His work Eratosthenes Batavus (or "The Dutch Eratosthenes"), published in 1617, describes the method and gives as the result his calculations between Alkmaar and Bergen op Zoom — two towns separated by one degree of the meridian, which he measured to be equal to 107.395 km (the actual distance, determined by more modern methods, is approximately 111 km).

Snell was also a distinguished mathematician, producing a new method for calculating Pi — the first such improvement since ancient times. He discovered the law of refraction that is named after him in 1621. The lunar crater Snellius was also named in his honor.

In addition to the Eratosthenes Batavus, Snell published Cyclometria sive de circuli dimensione (1621), and Tiphys Batavus (1624). He also edited Coeli et siderum in eo errantium observationes Hassiacae (1618), containing the astronomical observations of Landgrave William IV of Hesse. A trigonometry (Doctrina triangulorum) authored by Snell was published a year after his death.

Marine navigation involves frequent use of Snellius constructions. Navigators can obtain an accurate fix by determining the relative angles between bearings to three known landmarks. Meticulous care is critical; any mistake in the calculation may have disastrous consequences, leaving the vessel stranded high and dry.

THE CACHE:

I set out one recent afternoon to place a simple geocache honoring the many accomplishments of Willebrord Snell. After finding a nice hiding spot for the tiny container — but before marking the coordinates — I walked away from the cache site (and multitudinous muggles) on a bearing of 356°T at a distance of 152 feet. Standing on this spot, I forgot all about the nearby magnetic nano container while fiddling with my GPS unit and observing the relative positions of other waypoints loaded into my unit’s memory, taking copious notes all the while. I made the following observations:

  • GC1NCRR at 9.7°T
  • GC24WFB at 35.9°T
  • GC1W8WM at 116.1°T

Unfortunately, while messing around with my GPS unit in such a frivolous manner, my batteries died just before I could mark the coordinates of the nearby cache container (a recurring theme, I assure you). Perhaps you can help me solve this mystery by using the information I’ve provided to figure out where the cache resides. Happy calculating!

Click to verify coordinates

Additional Hints (Decrypt)

Abg uvtu naq qel, ohg ybj naq vyyhzvangvat.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)