Burlington free press. [volume] (Burlington, Vt.) 1827-1865, 1843-03-10
UIIR PRB S.
MR.. YOUNGS CARD.
The following is the card of tho Hon. Au.
gns.u' Young TO which We referred last week:
e TO THE PUBLIC.


Having prepared work for publication, which, in
ssiin,tlon, may be OF some importance to science
IN some OF its departments, and which il is my pur-
pose 10 publish as soon MS circumstances will admit
Insve though II notinappropatc to advertise or sip-
sest my purposes to the world, and therein to ind.
matc me nature OF some fthe leading topics of which
have treated.
ptnposc as the tiile-paec to my humble work the
following VIZ Ratio IN Unity, or Unity Of Purpose;
being an inquiry into the philosophy of numbers in re-.
spect to their adaptation to geo,eric qunnti les and
Their admeasurement, and to the investigation of the
law. OF nature, and especially those which operate in
controlling the motions and in prod icing the conse-
qnent phenomena in the planetary world; to which is
appended such theoretical suggestions and hypothetc
eorreati.cs rs analogy might seem TO deduco from
tran OIL demonstrated facts or propositions.
Tbs work will commence with a treatise upon the
qn'drattrs Of tie circle; thus dsregarding, other.
~ise than with sovereign scorn and contempt all such
low rdicilc of the attempts to solve that important
problem as may be fond in such works as Montuclo's
History OF Mathematics and itocs's Cycloppdia.
In reference to the quadrnurc Of the circle can.
~, but ap,rchond that have treated tho su ject in
manner somewhat different from the methods here
fnisro pursued as Is quite ccr,nin that have arrv
OIL alta very different result and that too by the va
rous methods which | have applied for nscortainng
the ratio between the diameter and circumference:
sal whether tho result which have arrived at and
ms method or methods adopted for obtaining such
suit amounts to actual demonstration of the long
sought for problem, shall most checrfully submit 10
the judgment.
hagc never supposed, nor have proceeded upon
the principle, that solution Of the q,adrature could
Will be the res i of single or abstract dcmonstra-
non, not proceeded by mn inquiry into the laws and
economy of numbers Of their appcaong to the ad-
nossurment OF geometric figures, by of, in
consequence or their ratios, powers and roots pre-
parato.y to their peculiar applicability to the adinea-
surement OF the circle also whereby tho remote as
we'll As the approximate step tending towards the re-
asli sought, were as well marked or defined by an
indctivc course and mode of reasoning plain to be
traced, and as obvious in their progress and conclu
aisn, as Hose which lead 10 any demonstration what
ever.
In all my researches in reference to the ouadraturc
hav. always cndehvored 10 act upon the principle
OF wi:c legislation, by keeping cons antly in view "the
Old law, the mischief, and the rencdy;" and although
fst many Years. have been satisfied to the result
OF my researches IN reference to this proposition
or pro lem as some Published hints will show, yet
have been unwilling 10 present the to the world
disconnected and unsupported by correlatve matter
OF equal importance 10 science Of hnt of the quadra-
ture itself.
am awnrc that il has been imagined by many, and
even by the learned, that demonstration Of the
q'straure con'd serve but little purpose otherwise
than to CRAFTY the curiosity OF mathematiclans,
much as the methods by approximation now cxtant
ere supposed 70 give degree Of accuracy sufficient
for all practical purposes but cannot see why the
sane mode of reasoning would 10, have equally ap-
piled to demonstration Of the 47,h problem of Flu
cid, the demonstration Of which settled an infiny
ofqucsllons which otherwise must constantly arise
without an arbiter 10 settle them. SO it must be in
easc o the 'lrcie-iat figure in geometry of all 9TH
sls the most useful, whose are the measures of
al angles as ogarilhms are the measures of all ratios
demonstration Of the ratios Of the measures ofwhch
u1A"s tatnslY declare wall develope n.,1 principles
in respect to the law the philosophy the economy of
Numbers, in their perfect applicability the laws of
nature and their development, and to the eternal fit
ness Of things.
If were certain that the present method Of arrv-
ing lat the measures Of the circle was based on cor.
vecl princ pies, the approximation would necessarily
be sufficiently exact for all practical purposes hut if
the principles upon which they proceed are not knorn
. [ m dam tratio
not only 10 detect the in principle but also the
amount Of error in fact and that the error, both in
principle and in fact sgrea., do not hesitate 10 de-
clare and have yet 10 learn that the methods pro-
posed by Lord Brounder and Mr.. Wallis, which have
been esteemed, perhaps, the best, havean tendency
whatever IN developing the true quadralure of the
circle, or that the method is in anywise based upon
the principle of the DETECTION Of planet from tan.
g~nt to its orbit.
And do not hesitate to declare that by such pro-
cess they do not make their circle round one but
that i, is longer than it is broad that they do not
thereby obtain the true ratio between the diameter
and the circum.ercrce; and what is remarkable
fact, as any one will discover they have not been
able by snch process to revove over the horns Of the
ocians, iii may so speal) they have made no pro.
ercss towards just or true result after passing the
eireumscrbed ociaAon Of the circle.
Again the form, or rather measures, OF the circle
now ex,ant do not comport or agree with that famous
law OF Kep!er, that great chronometer Of the Uni
verse, which has not only stood the test of obscrva
tion from his time 10 the present. but has been the
.,,,h; .i'siI -, -, - .s II 80 go H., ~
.Is 'u!s' shouu 10, u,t nu'g fluaIeu VI quau',;I
NE circle nut shon,a nave discovered 10 na,k ,;
.ne 'Hw ., sIavy, o ine Avs ol iotcc anu
ena 'sSy nave sa.ec asugnoe!s IRON,
eApiuiaeel ii equI'ions uepe'iuh. upon ic'''"u
ctcums,ahees, III oluer 70 u''s ac's nhu ops,' I
phenomena 70 CORRESPOND or square WIN whn' mas
oeen pro!nn'gn'e1 as 70. geheIni Jaw OF gravity.
hssu,'lhs oouhIss ir2li hnsing nus vsn,u'tu 70
nreak throueh srhoins.c n,s ana ool's "n'cl ha't
long oeeh ACCOMMODATING WIN view 10 persona
examination OF Inc premises conceived uie enter
pIi,e OF attacking 'he oracle hse ana OF laying opei
ana BRINGING TO Ighl us inmost reScshcs, WIN VIEW
70 ascertain whether nose sounds' RESPONSIVE WV,
honrss fnnrmuFs, so often repeated lana OF wnsch
hsa long h.en s"splci9us') were human OF DIVINE
whether they were such IN when we were oonnd u
place implicit iailh or only such as leave Rankin'
IA hoerty to search Tor run Wherever may u
found
therefore deny the correctness Of the Newonlal
theory of gravity in all its principles and applica
tons whether upon his broad hypothesis of the in
nate gravity Of matter or the law by which i, is gov
srncd, u. by him given or promulg gated 10 tn
world.