http://www.cnn.com/2007/TECH/science/06/18/newton.papers.ap/index.html

really the first of the great modern scientists, but rather the last of the
medeival wonder-workers.

We have two sprockets and a chain and need to find the sag. The support points of the chain are at different elevations (different diameter sprockets). We are iterating through the following equation in Visual Basic to find a, the y-coordinate of sag measured from the horizontal centerline of the two sprockets.

2 * a * (sinh(L/(2 * a)))=(y1-y2)/sinh(arctanh((y1-y2)/S))

However, we keep getting a value above the highest support point. This equation should be valid for our scenario, so why is the solution so inaccurate?

Almost everyone who has written anything about this says vectors from
the origin of the coordinate system in the directions of the
tetrahedron's vertexes should be added, but they don't add vectors
pointed in the directions of the cube's vertexes in the Cartesian
(Footnote 4: It was a mathematical requirement of XYZ rectilinear
coordination that in order to demonstrate four-dimensionality, a fourth
perpendicular to a fourth planar facet of the symmetric system must be
found--which fourth symmetrical plane of the system is not parallel to
one of the already-established three planes of symmetry of the system.
The tetrahedron, as synergetics' minimum structural system, has four
symmetrically interarrayed planes of symmetry--ergo, has four unique
perpendiculars--ergo, has four dimensions.)
http://bfi.org/node/574
http://library.wolfram.com/infocenter/search/?search_results=1;search_person_id=607

| x - y | >= | |x| - |y| |
means these two things:
| x - y | >= |x| - |y|
| x - y | >= |y| - |x|

http://www.boston.com/news/nation/washington/articles/2007/05/01/pentagon_s

In article <f5bgge$937$1@gemini.csx.cam.ac.uk>,
Ben Rudiak-Gould <br276deleteme@cam.ac.uk> wrote:

666 wrote:

In one manuscript from the early 1700s, Newton used the cryptic Book
of Daniel to calculate the date for the apocalypse, reaching the
conclusion that the world would end no earlier than 2060.

Given the large number of published upper bounds on the lifespan of the
world, it's good to see an occasional lower bound. Putting all these results
together, I suppose we can conclude that the world will never end, or
perhaps that it doesn't exist at all.

Good evidence that the sun will expand, put out more
heat, and drive the Earth's water out in 3.1 x 10^9
years.

On Jun 18, 11:03 pm, Rich Corinthian Leather
<inexplica...@mysterious.net> wrote:

Just another open-ended projection: the year 2060 or later, no time
certain or even a time frame!

That's not open-ended. What is states is precise: namely that the
world will NOT end before 2060.

On Jun 18, 11:03 pm, Rich Corinthian Leather

<inexplica...@mysterious.net> wrote:

Just another open-ended projection: the year 2060 or later, no time
certain or even a time frame!

That's not open-ended. What is states is precise: namely that the
world will NOT end before 2060.

It's all baloney.

Both it and you are wrong. It's not wrong because it's "baloney", but
because we're already close to having the ***** hit the fan,
particularly with everybody and their sibling getting nukes;
extremists of all ideologies and religions coming to full bloom; men
the world over losing their sense of direction (e.g. women are now the
majority in college-level education worldwide filling the vacuum left
behind by males who have dropped out, in some places (like the Middle
East) thoroughly dominating the ranks of the sciences and majority of
fields; they are becoming and have become the majority of the ranks of
the managers and professions throughout the developed world (including
the US) with males nowhere to be found (e.g. take a look at the early
morning newscasts in the US); suicides (particularly amongst males)
have risen prominently worldwide since the early to mid 20th century
to the point that the WHO has now sounded the alarm bells;
testosterone poisoning has apparently pervaded the political landscape
amidst the rise of the collective insanity and atativism of this half
of the human race)

If the ***** hits the fan, there's no way this will linger all the way
out to 2060. Everything is already coming to a head now. Half the
human race is already suffering all the symptoms, collectively, of
cabin fever or restlessness of the same sort that afflicts someone
who's been cooped up for too long, without an exit -- the Rapa Nui
Syndrome or Easter Island Syndome is already upon us. Eventually, the
other half will succumb, as well. Women are not taking over, but
merely filling in the vacuum left behind by the faltering half of the
human race. But they, too, will eventually falter.

The threshold that the world succeeds (or fails) to get through is
already upon us. There's no way the world will end without it
happening no later than 2020.

Rich Corinthian Leather <inexplica...@mysterious.net> writes:

666 wrote:

Papers show Isaac Newton's religious side
June 18, 2007

JERUSALEM (AP) -- Three-century-old manuscripts by Isaac Newton
calculating the exact date of the apocalypse, detailing the precise
dimensions of the ancient temple in Jerusalem and interpreting
passages of the Bible -- exhibited this week for the first time -- lay
bare the little-known religious intensity of a man many consider
history's greatest scientist.

Newton, who died 280 years ago, is known for laying much of the
groundwork for modern physics, astronomy, math and optics. But in a
new Jerusalem exhibit, he appears as a scholar of deep faith who also
found time to write on Jewish law -- even penning a few phrases in
careful Hebrew letters -- and combing the Old Testament's Book of
Daniel for clues about the world's end.

The documents, purchased by a Jewish scholar at a Sotheby's auction in
London in 1936, have been kept in safes at Israel's national library
in Jerusalem since 1969. Available for decades only to a small number
of scholars, they have never before been shown to the public.

In one manuscript from the early 1700s, Newton used the cryptic Book
of Daniel to calculate the date for the apocalypse, reaching the
conclusion that the world would end no earlier than 2060.

He's right so far...

"It may end later, but I see no reason for its ending sooner," Newton
wrote. However, he added, "This I mention not to assert when the time
of the end shall be, but to put a stop to the rash conjectures of
fanciful men who are frequently predicting the time of the end, and by
doing so bring the sacred prophesies into discredit as often as their
predictions fail."

Just another open-ended projection: the year 2060 or later, no time
certain or even a time frame!

It's all baloney.

And what if he had predicted a precise date in 2060? Would you have
said it wasn't baloney?

--
Robert Israel

Rich Corinthian Leather <inexplicable@mysterious.net> writes:

666 wrote:

Papers show Isaac Newton's religious side
June 18, 2007

JERUSALEM (AP) -- Three-century-old manuscripts by Isaac Newton
calculating the exact date of the apocalypse, detailing the precise
dimensions of the ancient temple in Jerusalem and interpreting
passages of the Bible -- exhibited this week for the first time -- lay
bare the little-known religious intensity of a man many consider
history's greatest scientist.

Newton, who died 280 years ago, is known for laying much of the
groundwork for modern physics, astronomy, math and optics. But in a
new Jerusalem exhibit, he appears as a scholar of deep faith who also
found time to write on Jewish law -- even penning a few phrases in
careful Hebrew letters -- and combing the Old Testament's Book of
Daniel for clues about the world's end.

The documents, purchased by a Jewish scholar at a Sotheby's auction in
London in 1936, have been kept in safes at Israel's national library
in Jerusalem since 1969. Available for decades only to a small number
of scholars, they have never before been shown to the public.

In one manuscript from the early 1700s, Newton used the cryptic Book
of Daniel to calculate the date for the apocalypse, reaching the
conclusion that the world would end no earlier than 2060.

He's right so far...

"It may end later, but I see no reason for its ending sooner," Newton
wrote. However, he added, "This I mention not to assert when the time
of the end shall be, but to put a stop to the rash conjectures of
fanciful men who are frequently predicting the time of the end, and by
doing so bring the sacred prophesies into discredit as often as their
predictions fail."

Just another open-ended projection: the year 2060 or later, no time
certain or even a time frame!

It's all baloney.

And what if he had predicted a precise date in 2060? Would you have
said it wasn't baloney?