### National Treasure: Book of Secrets Page 47: The Masonic Connection

 Part I Part II Part III Part IV Part V

National Treasure: Book of Secrets Page 47: The Masonic Connection

Could the secret to "page 47" be locked in Masonic ritual? Looking into Masonic lore surrounding the number 47, I came across several references to Euclid's 47th problem. The 47th problem of Euclid revolves around the diagram shown below:

The diagram describes the Pythagorean Theorem which reveals the familiar equation:

a2+b2 = c2
I found the first of these references to Euclid's 47th problem in the Scottish Rite 20th degree lecture in Morals and Dogma by Albert Pike. That's right, the same Albert Pike that is mentioned throughout the movie!

There are other tell-tale references to the Scottish Rite degrees in the movie, such as the exchange between Patrick and Ben Gates:

"I haven't talked to your mother in 25 years."

Thirty-two is the final terminal degree of Scottish Rite masonry. Oh, and twenty-five? The twenty-fifth degree is another degree whose ritual makes use of the 47th problem of Euclid!

For the conspiracy theory minded among you, try this. Search for "National Treasure Euclid" on google. When I did, the first result came up as a movie listing for a theatre at:

36655 Euclid Avenue in Willoughby, OH

3 + 6 + 6 + 5 + 5 = 25

Anonymous said…
smart fish... ;)
Hamilton said…
:) Thanks! Is that a Sadusky reference?

http://en.wikiquote.org/wiki/National_Treasure
Anonymous said…
And if count all the characters in:
36655 Euclid Avenue
Willoughby, OHIO
including the coma, YOU GET 32 ;o
Hamilton said…
Good One!
Anonymous said…
Might be missing the illuminatus connection. Relatively well known is the connection between the illuminati and the masons... 25... 2 and 5. Both important numbers to anyone knowing the illuminatus lore.
Anonymous said…
25+2+5=32 too
Anonymous said…
Sounds like someone's got too much time on their hands...interesting theories though. Good work.

### Cool Math Tricks: Deriving the Divergence, (Del or Nabla) into New (Cylindrical) Coordinate Systems

The following is a pretty lengthy procedure, but converting the divergence, (nabla, del) operator between coordinate systems comes up pretty often. While there are tables for converting between common coordinate systems, there seem to be fewer explanations of the procedure for deriving the conversion, so here goes!

What do we actually want?

To convert the Cartesian nabla

to the nabla for another coordinate system, say… cylindrical coordinates.

What we’ll need:

1. The Cartesian Nabla:

2. A set of equations relating the Cartesian coordinates to cylindrical coordinates:

3. A set of equations relating the Cartesian basis vectors to the basis vectors of the new coordinate system:

How to do it:

Use the chain rule for differentiation to convert the derivatives with respect to the Cartesian variables to derivatives with respect to the cylindrical variables.

The chain rule can be used to convert a differential operator in terms of one variable into a series of differential operators in terms of othe…

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While there are lots of perks attendant to grad school, not the least of them phenomenal health insurance, that’s not the one that’s come to mind for me just now.  The one I’m most grateful for at the moment with respect to our kids was the opportunities for sheer independence.  Most days, we’d meet for lunch on the quad of whatever university we were hanging out at at the time, (physics research requires a bit of travel), to eat lunch.  During those lunches, the kids could crawl, toddle, or jog off into the distance.  There were no roads, and therefore no cars.  And, I realize now with a certain wistful bliss I had no knowledge of at the time, there were also very few people at hand that new what a baby…

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Summary: Much more plunking around with the NaI detector and sources today.  A Pb shield was built to eliminate cosmic ray muons as well as potassium 40 radiation from the concreted building.  The spectra are much cleaner, but still don't have the count rates or distinctive peaks that are expected.
New to the experiment?  Scroll to the bottom to see background and get caught up.
Lab Book Threshold for the QVT is currently set at -1.49 volts.  Remember to divide this by 100 to get the actual threshold voltage. A new spectrum recording the lines of all three sources, Cs 137, Co 60, and Sr 90, was started at approximately 10:55. Took data for about an hour.
Started the Cs 137 only spectrum at about 11:55 AM

Here’s the no-source background from yesterday
In comparison, here’s the 3 source spectrum from this morning.

The three source spectrum shows peak structure not exhibited by the background alone. I forgot to take scope pictures of the Cs137 run. I do however, have the printout, and…