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Ancient Navigators Could Have Measured Longitude -- in Egypt in 232 B.C. !
21st Century: Science and Technology Magazine ^ | Fall 2001 | Rick Sanders

Posted on 01/12/2003 11:19:24 AM PST by ex-Texan

Ancient Navigators Could Have Measured Longitude -- in Egypt in 232 B.C. !

by Rick Sanders

Around the year 232 B.C., Captain Rata and Navigator Maui set out with a flotilla of ships from Egypt in an attempt to circumnavigate the Earth. On the night of August 6-7, 2001, between the hours of 11 PM and 3 AM, this writer, and fellow amateur astronomer Bert Cooper, proved in principle that Captain Rata and Navigator Maui could have known and charted their location, by longitude, most of the time during that voyage.

The Maui expedition was under the guidance of Eratosthenes, the great scientist who was also the chief librarian of the library at Alexandria. Could this voyage have demonstrated Eratosthenes' theorem that the world was round, and measured approximately 24,500 miles in circumference? One of the navigational instruments which Maui had with him was a strange looking "calculator" that he called a tanawa; such an instrument was known, in 1492, as a torquetum.

Intrigued by a photograph of the cave drawing of that tanawa in Irian Jaya, western New Guinea, I speculated that Maui must have been looking at the ecliptic to measure "lunar distance," in order to find his longitude. Maui's tanawa was of such importance, that he drew it on the cave wall with the inscription, deciphered in the 1970s by epigrapher Barry Fell: "The Earth is tilted. Therefore, the signs of half of the ecliptic watch over the south, the other (half) rise in the ascendant. This is the calculator of Maui."

Eratosthenes had just measured the circumference of the Earth, and the circumference of a sphere is the same in all directions. We know that Maui was thinking about this, because his cave drawings also include a proof of Eratosthenes' experiment to measure the Earth's circumference.

To test the hypotheses, we built a wooden torquetum and used a simplified version of it to measure the change in angular distance between the Moon and the star Altair, in the constellation Aquila (the Eagle). This success proves official dogma wrong, and proves that, in principle, Navigator Maui, during his voyage could have used tables brought from Alexandria, drawn up by Eratosthenes or his collaborators, compared those lunar distances with the distances that he measured, and come up with a good estimate of his longitude.

It is important to note that we are not claiming here that we know everything about the torquetum. We simplified our device for the proof-of-principle experiment, but we will carry out and report on more experiments, using the full instrument.

The torquetum's value, as an analogue calculator, must have been immense, because, once a planet or the Moon are not on the meridian, all "straight lines" become curves—so that calculations are difficult, even with a modern calculator. However, the 23.5-degree plane on the torquetum allows one to directly read the longitude and latitude of a planet or the Moon, relative to the ecliptic, without calculation. These data would be invaluable for predicting eclipses and occultations of various stars or planets by the Moon.

The Inspiration for the Experiment

This was intriguing! What was this "tanawa" for? Why the 23.5-degree plane, characteristic of the torquetum? It could only mean that Maui was looking at the ecliptic, the Moon, and the planets, the "wandering stars."

Of the two torquetums surviving in the world, one belonged to Nicholas of Cusa, and the other to Regiomontanus, both of whom were involved in calendar reform, including setting the date of Easter, which, along with some other religious festivals, is dated by the interaction of the lunar and solar calendars.

But what could Maui have been doing? Trying to determine longitude? The very thought was heretical. To take things out of the realm of speculation, the only solution was to build a torquetum, and see if longitude could be determined by using sightings of the Moon, with simple backyard equipment; if this succeeded, then Navigator Maui could have also succeeded.

PROBABLE ROUTE OF THE EGYPTIAN VOYAGE IN 232 B.C.

Deciphered rock and cave inscriptions from the Pacific islands, western New Guinea, and Santiago, Chile, tell of an Egyptian flotilla that set sail around 232 B.C., during the reign of Ptolemy III, on a mission to circumnavigate the globe. The six ships sailed under the direction of Captain Rata and Navigator Maui, a friend of the astronomer Eratosthenes (ca. 275-194 B.C.), who headed the famous library at Alexandria. Maui's inscriptions, as deciphered in the 1970s by epigrapher Barry Fell, indicated that this was a proof-of-principle voyage, to demonstrate Eratosthenes' theorem that the world was round, and approximately 24,500 miles in circumference.

Finding Longitude

You cannot tell longitude from the stars alone, because their daily motion is purely apparent, caused by the rotation of the Earth. At 8 PM (solar apparent time), any star, seen from anywhere, whether Ferrara, Paris, or Cairo, will have the same azimuth as it does in Washington, D.C., Chicago, Sioux Falls, S.D., Seattle, or anywhere else. The Moon shares in this apparent motion to the west, but it also has its own independent, real motion.

Look at what Amerigo Vespucci, himself at the frontiers of post-Dark-Ages navigational astronomy, said of this in 1502, in Letter IV:

". . . I maintain that I learned [my longitude] . . . by the eclipses and conjunctions of the Moon with the planets; and I have lost many nights of sleep in reconciling my calculations with the precepts of those sages who have devised the manuals and written of the movements, conjunctions, aspects, and eclipses of the two luminaries and of the wandering stars, such as the wise King Don Alfonso in his Tables, Johannes Regiomontanus in his Almanac, and Blanchinus, and the Rabbi Zacuto in his almanac, which is perpetual; and these were composed in different meridians: King Don Alfonso's book in the meridian of Toledo, and Johannes Regiomontanus's in that of Ferrara, and the other two in that of Salamanca."2 The best "clock" to use for reference, is the stars. In the roughly 27.3 solar days of a lunar orbit, the Moon moves a full 360 degrees around the sky, returning to its old position among the stars. This is 13 degrees per day, or just over 0.5 degree per hour. So, while the rotation of the Earth causes the stars and the Moon to appear to move from east to west across the night sky, the Moon, because of its own orbit around the Earth, fights back against this apparent motion, and seems to move eastward (or retrograde) by about 0.5 degree per hour. In other words, the Moon "moves" west only 11.5 degrees per hour.

A brass model of Maui's tanawa, constructed by Dr. Sentiel Rommel. The base (A) in the plane of the observer's horizon, is oriented so that the axis of symmetry is parallel to the meridian. (B) is the equatorial plane. (C) is the ecliptic plane (viewed from one side in Maui's drawing, hence appearing as a line). Drawing by Matt Makowski in The Epigraphic Society Occasional Publications, Vol. 32, No. 29, Feb. 1975

Thus, if a known star is in a given position on the celestial sphere (measured by azimuth and right ascension), a table could be drawn up at a given location for each night, showing how distant the Moon appears to be from that star.

For example: If a ship sailed west out of a port, and its new longitude were now 15 degrees west (one hour) of that port, and those on the ship could see the Moon and the reference star, the Moon would appear to be 0.5 degree east of where the table would show it to be for the port of departure. There is nothing here that navigator Maui in 232 B.C. could not have known. The only question would be whether his instruments could measure an angular difference on the order of 0.5 degree.

Our Observations

Our observational experiment showed that a simplified torquetum could do it. In the time that Altair had moved 41.8 degrees west along the equatorial plane, the Moon had moved only 40.25 degrees, a difference of 1.55 degrees. Because the Moon should retrograde about 0.5 degree/hour, the calculated regression would equal 1.39 degrees. This error of less than 1/6th (or 0.166) of a degree is well within our instrument limitations, which can be read only to 0.25 of a degree.

--------------------------------------------------------
Notes:

1. For the story of the Rata-Maui Expedition, see "The Decipherment and Discovery of a Voyage to America in 232 B.C.," by Marjorie Mazel Hecht, 21st Century, Winter 1998-1999, p. 62; "Indian Inscriptions from the Cordilleras in Chile" found by Karl Stolp in 1885, 21st Century, Winter 1998-1999, p. 66; "On Eratosthenes, Maui's Voyage of Discovery, and Reviving the Principle of Discovery Today," by Lyndon H. LaRouche, Jr., 21st Century, Spring 1999, p. 24; "Eratosthenes' Instruments Guided Maui's 3rd Century B.C. Voyage," by Marjorie Mazel Hecht, 21st Century, Spring 1999, p. 74; and "Maui's Tanawa: A Torquetum of 232 B.C.," by Sentiel Rommel, Ph.D., 21st Century, Spring 1999, p. 75.

2. Cited in Letters From A New World, 1992. Ed. Luciano Formisano (New York: Marsilio Publishers), pp. 38-39.

21st Century, P.O. Box 16285, Washington, D.C. 20041

www.21stcenturysciencetech.com

Copyright © 2003 21st Century Science Associates. All rights reserved.

(Excerpt) Read more at 21stcenturysciencetech.com ...


TOPICS: Culture/Society; Extended News; Foreign Affairs
KEYWORDS: ancientnavigation; archaeology; earthisround; egypt; egyptin232bc; ggg; godsgravesglyphs; heyerdahl; history; navigation; precolumbiantrade; ricksanders; thorheyerdahl
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To: RnMomof7
"Moors defeated the Tours in 732...4th grade history."

I suppose, if you were raised in a Moorish training-camp.
81 posted on 01/14/2003 2:24:05 PM PST by Arkady
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To: ex-Texan
Here is an experiment you (and others) can do.

Go and look at an online copy of the Piri Re'is map, here.

Notice the weird shape of South America. At first sight, hopelessly wrong. But wait. The good admiral claimed that his map was stitced together from many older maps, some of which came from the Library of Alexandria.

Now go to this interesting website. It lets you plot your own map.

On the form, enter the following values (you can experiment with everything else):

Center of map: latitude 23.5, longitude 30.0.

Explanation - that is the point of intersection of the Meridian of Alexandria and the Tropic of Cancer. It will become the center of projection of a map in Azimuthal Equidistant projection. You can produce a map of the entire world if you like, but please try this one too.

Center of Page: latitude 0, longitude -30.

Explanation: that is approximately the location of the big rose in the middle of the extant piece of the Piri Re'is map.

Continents to include: at least Africa and South America. Experiment with Europe, North America, and Antarctica.

Map scale: 1000 km/cm give about the same scale as the picture.

Click on "generate map". Compare the result with Piri Re'is. Be astonished.

82 posted on 01/15/2003 1:20:20 AM PST by John Locke
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To: blam; FairOpinion; Ernest_at_the_Beach; SunkenCiv; 24Karet; 3AngelaD; 4ConservativeJustices; ...
We're having a sail tonight on old topics, and boy do we have a raft of 'em.
Please FREEPMAIL me if you want on, off, or alter the "Gods, Graves, Glyphs" PING list --
Archaeology/Anthropology/Ancient Cultures/Artifacts/Antiquities, etc.
The GGG Digest
-- Gods, Graves, Glyphs (alpha order)

83 posted on 03/25/2005 8:07:10 PM PST by SunkenCiv (last updated my FreeRepublic profile on Friday, March 25, 2005.)
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To: ex-Texan

bump for later - longitude in 232BC bwahaha!


84 posted on 03/25/2005 8:41:08 PM PST by Graymatter (...a Terri Schiavo Republican)
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To: Hermann the Cherusker

Come on, there were some good times after the Hyksos.


85 posted on 03/25/2005 8:43:24 PM PST by Graymatter (...a Terri Schiavo Republican)
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To: restornu
PROBABLE SMOKE OF THE EGYPTIAN VOYAGE IN 232 BC


86 posted on 03/25/2005 8:53:19 PM PST by Graymatter
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To: VadeRetro
"I never heard of Rata and Maui. That could be OK. I search on Rata, Maui, and Eratosthenes and get nine hits, LaRouchies and Cold-Fusioneers predominating. That's not so good. More people should have heard of this. It's an apocryphal story, the main evidence for which seems to be a Maori legend and an inscription of which most of the scholarly world seems unaware."

Thanks for the post. You said it well, I've never heard of this before...and, I've heard something about everything, lol.

87 posted on 03/25/2005 9:07:15 PM PST by blam
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To: Graymatter

I almost choked laughing at that.

Mystery of the Cocaine Mummies
http://lime.weeg.uiowa.edu/~anthro/webcourse/lost/coctrans.htm (dead link)
8 September 1996 | EQUINOX - Channel 4 - UK
Posted on 03/25/2005 8:28:56 PM PST by SunkenCiv
http://www.freerepublic.com/focus/f-chat/1371036/posts


88 posted on 03/25/2005 11:04:44 PM PST by SunkenCiv (last updated my FreeRepublic profile on Friday, March 25, 2005.)
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To: SunkenCiv

Now THIS was fascinating! Thanks a bunch.


89 posted on 03/25/2005 11:42:27 PM PST by ApplegateRanch (The world needs more horses, and fewer Jackasses!)
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To: blam
Didn't really mean to imply I'd never heard of Maui, of course. Spent a few days at Kaanapali Beach in 1980.
90 posted on 03/26/2005 6:06:18 AM PST by VadeRetro (Liberalism is a cancer on society. Creationism is a cancer on conservatism.)
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To: ApplegateRanch

:') As someone noted much earlier, the source is Lyndon Larouche's tech magazine, and he's, well, we all know I think. But there's always plenty to like in each issue, along with some stuff that's just a soapbox.


91 posted on 03/26/2005 7:37:26 AM PST by SunkenCiv (last updated my FreeRepublic profile on Friday, March 25, 2005.)
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To: SunkenCiv

Oh, yes; we all know about Uncca Lyndie; but the OTHER links, maps, references, articles, and arguments posted into the thread...

Kept me busy & out of trouble for awhile.


92 posted on 03/26/2005 11:24:08 AM PST by ApplegateRanch (The world needs more horses, and fewer Jackasses!)
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To: ApplegateRanch

:')


93 posted on 03/26/2005 9:44:52 PM PST by SunkenCiv (last updated my FreeRepublic profile on Friday, March 25, 2005.)
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On Eratosthenes, Maui's Voyage of Discovery, and Reviving The Principle of Discovery Today
by Lyndon H. LaRouche, Jr.
Reprinted from FIDELIO Magazine, Vol .8, No 1, Spring 1999
http://www.schillerinstitute.org/fid_97-01/991erost_lhl.html

SCRAPPING THE USUAL ACADEMIC FRAUDS
`Go With the Flow':
Why Scholars Lied About Ulysses' Transatlantic Crossing
by Lyndon H. LaRouche, Jr.
October 19, 1998
This article appeared in the November 20, 1998 issue of Executive Intelligence Review.
http://www.larouchepub.com/lar/1998/lar_go_with_flow_2546.html

[s/b "Scrapping the Usual Academic Frauds, and going with a whole new set" -- Samuel Butler, 100 years ago, built his case for the idea that the Odyssey was written by a woman, who furthermore lived on Sicily or one of the neighboring small islands. The Odyssey certainly reads like a romance novel. LaRouche is a demagogue; he hates Israel, ridicules the Holocaust's significance, and saddles on anything, even ancient navigation, if he can twist it to his own uses.]


94 posted on 08/21/2005 8:10:53 AM PDT by SunkenCiv (Down with Dhimmicrats! I last updated by FR profile on Sunday, August 14, 2005.)
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To: T. P. Pole; RnMomof7
Imagine all of Europe being an arab state. No western culture.

Just wait a few years and you won't have to imagine it; you can then observe it.

95 posted on 08/21/2005 9:04:31 AM PDT by tarheelswamprat (This tagline space for rent - cheap!)
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First ever English translation of The Constellations attributed to Eratosthenes, the geographer and director of the Library at Alexandria

Star Myths of the Greeks and Romans: A Sourcebook: Translation and commentary by Theony Condos


96 posted on 04/23/2006 7:58:45 PM PDT by SunkenCiv (https://secure.freerepublic.com/donate/)
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From 2003. Just adding this to the GGG catalog, not sending a general distribution.

To all -- please ping me to other topics which are appropriate for the GGG list. Thanks.
Please FREEPMAIL me if you want on or off the
"Gods, Graves, Glyphs" PING list or GGG weekly digest
-- Archaeology/Anthropology/Ancient Cultures/Artifacts/Antiquities, etc.
Gods, Graves, Glyphs (alpha order)

97 posted on 07/23/2006 11:13:23 PM PDT by SunkenCiv (updated my FR profile on Wednesday, June 21, 2006. https://secure.freerepublic.com/donate/)
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To: muawiyah

Long before that I'd say, round about the time Abraham went to Egypt, but then what is meant by "Christianized".


98 posted on 07/23/2006 11:26:40 PM PDT by wita (truthspeaks@freerepublic.com)
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To: RnMomof7
Right out of the blue, and about as ignorant a reply as I've had the displeasure of reading. I'm just a bit tired of supposed Christians with an agenda related to anything they don't understand, can't comprehend, haven't studied sufficiently, and won't because they think they know it all.

That is my initial reaction, and it displeases me that I need to start out that way. First, the voyage you are talking about was 600 years BC. not 232. The people were NOT Jews. There is more, but you will excuse me if I don't carry this any further. I thought this thread was about navigation, which relates to astronomy and the knowledge gained by man allowing world travel. I suggest, that your small and belittling post does not help at all.

High hopes our next contact will be more cordial.

99 posted on 07/23/2006 11:59:49 PM PDT by wita (truthspeaks@freerepublic.com)
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To: wita

? ~ you're referring to an earlier time, but wasn't that just a simple takeover by outsiders, not a "destruction".


100 posted on 07/24/2006 4:17:46 AM PDT by muawiyah (-/sarcasm)
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