Re: History of trigonometry



also, Wenninger (sp.?) in his paper models books,
uses the "-gon" suffix for polyhedra, somwhere.

"polyvertexion," but I prefer polyasteron.

thus:
yeah, Baby;
that's methyl tertiary-butyl ether,
the gasoline additive that was tootally unnecessary,
as proven by Occidental losing their suit against California.

still, Trickier *** Cheeny is in hiding,
over OKing the "California Energy Crisis,"
thereby assisting the LAtribcoTimes
in installing a new Governeurateur.

Canadian companies engineered the MtBE scam,
in order to inflate the price of their natural gas,
which meant that they had no recession,
Recession? You ain't seen nothing yet baby.....

thus:
this is why Indianans are unjustly accused;
they merely used the Biblical value of floor(pi) --
you can't call that an errant approximation!...
they also didn't use zero, which is why
there's no Pontius Pilate commemorative coins
with the datestamp of "Y0AD."

http://en.wikipedia.org/wiki/Wankle_engine
The animation makes it pretty obvious why it would not
make a good wheel.
Though, how to get an outer circumference of 3 times the
diameter is a question I don't know how to answer.

"In Liber Abaci he described the nine Indian symbols together with the
sign 0 for Europeans in around 1200 but it was not widely used for a
long time after that. It is significant that Fibonacci is not bold
enough to treat 0 in the same way as the other numbers 1, 2, 3, 4, 5,
6, 7, 8, 9 since he speaks of the "sign" zero while the other symbols
he speaks of as numbers. Although clearly bringing the Indian numerals
to Europe was of major importance we can see that in his treatment of
zero he did not reach the sophistication of the Indians Brahmagupta,
Mahavira and Bhaskara nor of the Arabic and Islamic mathematicians such
as al-Samawal.
"One might have thought that the progress of the number systems in
general, and zero in particular, would have been steady from this time
on. However, this was far from the case. Cardan solved cubic and
quartic equations without using zero. He would have found his work in
the 1500's so much easier if he had had a zero but it was not part of
his mathematics. By the 1600's zero began to come into widespread use
but still only after encountering a lot of resistance."
http://www-history.mcs.st-andrews.ac.uk/history/HistTopics/Zero.html

thus:
highly amuzing, actually, a simple mistake, and
Bonacci didn't even get the place-holder!... perhaps,
it wasn't in universal usage by Hindus,
til teh Arabs got hold of it (were they Muslims,
two?)...
maybe, Dr. Sarfatti could deliver him a copy
of Simon Stevin's book, in his Delorean. hey;
he could also grab some Italian take-back
-to-the-future for the group!
was dated 1202) that he had studied the "nine Indian
figures" and their arithmetic as used in various
countries around the Mediterranean

thus:
could you try to explain that, more prosaically. however,
I'm no fan of the floor function, being
from Indiana -- we got burned, especially Dan Quayle!
%S A126888 1,5,7,28,11,13,44,17,19,63,23,51,55,29
%N A126888 a(n) is the smallest positive integer such that
floor(a(n)/d(a(n))) = n, where d(m) is the number of positive divisors of m.
%C A126888 Does every term have a value? ie, Does every positive integer n
equal floor(m/d(m)) for some m?

thus:
it looks as if you're all bent-out over the only ambiguity
of integral bases (bigger than one), as explained
by Ore in his _Number Theory and Its History_
(originally by Simon Stevin in the 15thcce). so,
you make the bizarre extrapolation to ...2222. etc.
in base ten -- not even EEEscultura did that! even so,
it is at least a vaguely comprehensible line of thought,
unlike your usual stuff. (I keep-on saying,
those ESL classes are "FREE," dude; or,
just go thespian, bisexual roles in Shakespeare
til you can comprehend Hamlet.)...
when you can configure Munk's paper on congruence surds,
then you'll be able to publish. til then,
just continue to pile-on the repeatative strange injury!
Circular or form a circle or spiral of at least 2 spirals. The base 2
of just digits 0 and 1 have numbers ending in either 0000s or 11111s
and thus two spirals are formed.

thus quoth:
Two galaxies physically associated with one another offer the ideal
test
for redshift quantization; they represent the simplist possible system.

According to conventional dynamics, the two objects are in orbital
motion
about each other. Therefore, any difference in redshift between the
galaxies in a pair should merely reflect the difference in their
orbital
velocities along the same line of sight. If we observe many pairs
covering
a wide range of viewing angles and orbital geometries, the expected
distribution of redshift differences should be a smooth curve. In other

words, if redshift is solely a Doppler effect, then the differences
between
the measured values for members of pairs should show no jumps.
But....
http://www.cs.unc.edu/~plaisted/ce/redshift.html
In the algebraics one can have
non-unit integers arbitrarily close to 1 (a^(1/n) for any integer a and
any positive integer n),

thus:
any moron could come-up with the Fibonacci series;
stupid people, however, is another story. (of course,
the internal evidence that Fermat made no known mistakes,
sort-of leads one to believe that
it wasn't his last theorem, at all .-)

thus:
you should see if you can find a copy
of Charles B. Officer's book about the unmitigated hypothesis
that all craters are due to impacts, which is really
a reflection of the hegemony of the Alvarez et al pseudo-
finding about the K-T boundary. mostly remaindered, and
he gets quite worked-up in his prose, but, hey. (also,
find the *first* edition of _The Moon_,
by that former British Royal Astronomer, and compare it
with his second edition, on this subject --
he makes a little joke out of it....
beautifully said, though
about our non-programme d'espace;
soon, a thousand points of light will be on the moon,
all representing other countries. I mean,
why do you think that *yehT* whacked KFJ?
http://en.wikipedia.org/wiki/Sudbury_Basin
"insane"?, well perhaps I would argue it's insane to
bypass lunar geology ((Selinology?)) that has been
collecting data for billions of years and is there now,
rather than chasing about based on speculations
about Big Bangs and Black Holes that are semi-
religious artifacts of some mathematical calculations.

thus:
I'm just going to say, I guess that
AP is really a charlatan. I mean,
it's in the very beginning of every book on p-adics
-- that part that I was able to comprehend, thus far --
that the arhcimedean-valued integers a infinity-adics;
maybe, that's where he got the idea....
I wouldn't say that this applies to his cousin,
Governeurateur Terminator, since
that guy came to teh USA at age nineteen --
I think, his accent is entirely cultivated, and
that his main problem is his financial sponsors
(Rothschild, George Schultz, Warren Allyoucaneat Buffet,
junkbondtraders etc ad vomitorium).

thus:
how is that?
There are cases with complex a,b such that
sqrt(a/b) not equal to sqrt(a) / sqrt(b) ...

thus:
you have to use tripolar coordinates, though. I've always
called it tetrahedronometry, although, a la the study of trigona,
it can also be called tetragonometry. an alternative
that I've espoused, was inspired by Bucky Fuller,
in a _Posthumous_ publication written by his adjuvant,
when he finally started to attend to teh duals
of the trigonated polyhedra; he used the word,
"polyvertexion," but I prefer polyasteron....
that also dystinguished it from Peter Schoute's polygonometry,
which is just an old, "n-D" thing,
which Coxeter told me of, when I called him up at his home
in Toronto -- correcting me for asking if he knew
of tetrahedronometry!
Basically my question here is: what's 4-gonometry.
May be the tetrahedronometry.It should include dihedrals and trihedral

thus:
unfortunately, the neocons & jihadists are sliding us
into Sudan, a dried-up quagmire (British sand,
viz Sandhurst, EMI et al ad vomitorium Seargent Peppers)....
also note that China sent in about 10K workers
for the pipeline consortium with Canada, and
it has a larger--percentagewise?-- number of Muslims
(not 100%, though, as in Darfur).

from the beginning of 2002 to the end of 2005, the number of
armed conflicts being
waged around the world shrank 15% from 66 to 56. By far the

greatest decline was in
sub-Saharan Africa.

thus:
I'm sure that I read about the quantized galactic redshifts
in a mainstream journal ...
unless it was the LaRouchiac one!
http://www.21stcenturysciencetech.com/

thus quoth:
http://chephip.free.fr/pbg_en/sol143.html

thus quoth:
"The Universe has as many different centers as there are living
beings in it." - Alexander Solzhenitsyn

thus:
Harry Potter-affiliated stuff,
in general -- like both Iraq wars).

this just in:
yesterday's (Tues,. Nov.15) *UCLA Daily Bruin* finally noted that
darfur is entirely Muslim, though downplaying it AMAP.

thus:
*** Cheeny, Don Rumsfeld and Osama bin Latin form a mission
to Darfur, to prevent a war instead of to start one:
if Darfur is "100% Muslim," then
what's really going on, there?
is it just aother British Quag for USA soldiers to get bogged
into, with Iran, Iraq, Afghanistan et al ad vomitorium,
under auspices of the UN and NATO?
why won't the Bruin publish the fact of Islam on the ground,
therein?

thus:
Why doesn't the [UCLA Daily] Bruin report that
Darfur's populace is "100%" Muslim,
according to the DAC's sponsor,
Terry Saunders?...
"99%" was the figure given
by Brian Steidle, when I finally found
him at the Hammer, after everyone else
had left (he, his friend & I were the
very last to leave!)...
What could it possibly mean?

--The Other Side (if it exists)

.


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