Burlington free press. [volume] (Burlington, Vt.) 1827-1865, 1847-12-10

fan ,,, , bon;,,,,, IF lie fill u,ho,bor nj the dis
,onco fsrr,cc If the enrtbA mr. Mt the d;stonce GO
distance of the moonJ is 16 feet
Ea,,,U A beovv bodv oopmenc,r ito fall Mt lG
.at ,hove tho surnce of The earth mr. Mt the distance
from tho ccr,rc of gravity. will fall IN thc surlce or
over ,h mi, of spocc in one second of ,imehot is
IN time when the whole operation TO be perior,ued
;s G,llv co,n,lote and ended And heavy body COM
,o,,o; ;,s fall n, the distance of the moan mr. dis
,aoce GO from the centre Of gravity will fall over the
6 feet or INIT of space to be performed in co seconds
Of ,ime-,bat is, in time GO when the whole opera
ton TO be performed on such body is COMPETED
EIfb Folnp bodies at all distances from the cen
ire of o,trnctop observe the same numerical lnvs
hence either bodv from the co,ncncemcn, or lie fall
will fall over 1900 part of the unit of space or lG
feet in Leo part of the time in which it will fall over
the whole unit of space lit will fall over 3-3600 of
the unit of space in another equal amount of time
over $4,000 of the M. oss' pucc in another equal
amount of time, and 50 81 SZ-sng as the odd num-
bers l, 3, ., T. NC, of NJ ',it OF space is passed
over, and the time ana force required are expended
Thus, 1t we conceive the 10 rect or uni OF space, at
he Instance oo' OF distance Oh 'he NOON 10 DC o'
ded ito 3ooo equal parts or spaces 'he fst space VIII
ne pissed over Ill ''e ''s' Seco''' VI '' 'ee ''oie
spaces III the next succeeding seconu-hVe more III
'he 'h'rd second ana so on III WHO" ''e ei'u
oil any second OF Time from inc commencement OIL the
'''' ''e hu''"cr vi spaccS p'seeu o',i WI, oc 'ie
square OIL the NUMBER o' seconuS Ill WHICH inc oooy
mas peeh ialllhs mus lar.
Mrth Inc tiine required !" 'a'hg over tne unit Oh
space Is as the distance from the centre OF gravity
Tor while at the distance !, the time Is at the dis
lance 6o, the time Is to-
oerehh. IL we conceive 'he "ho'e "'hount OF force
expended III urging the pouy over he 10 i'e' OF UNIT
oil space 10 De ui'iueu mo e"a' pa''S' o'e inc num-
ger o' 'occs u W eNpen'eu III we op''"'o Is 'q"''
to tiie n""'oeT OIL tunes III WHO" ''ey afe eNpeiueu
ana the square Oh either t'e NUMBER o 'ofces or num-
Der OF times is equal to the number OF spaces into
which the unit OF space Is divided, IN order that they
may correspond with the numerical law of falling
bodies. Thus, if we conceive the l6 feet or unit OF
space the distance Co. be divided into 5000 equal
parts in order correspond with the 60 seconds OF
time in which they passed over, also conceive
the ,phole amount of force to be expended in urging
the body over the unit OF space, Tor $500 spaces into
which it is dvided to be divided into 60 equal parts
one force TO he eypende in one second or one time
Lu H., :: ii. - - -
| =, ~ va 10Y " f"7
o'nei el'' ioicc W oe cAi'c"ucu WING 'i'c oo"y
passing over another equal time, and over three cqua
| SPACES, and so on.
| p;aL,L I, ,,,a ,,, L..,;,u ..;. -. a., ,.,,
!" .ne WV oo'ie9, Wa at ''e "'S'""e
anu "St""ce w. commence lalills NJ t'e same Time
land neither of them is to fall over but l6 feet or IN,
unit of space for TINT is the whole oncr,on IN h. per
/ c,l -. 49, -. -, ,. r n
iorheuJ Ut any Instant OF te uufng their Jon aIl
the velocity OF the body at the distance Will be 36O'
times as great ms at the distance GO but at an eoua
amount of sDorc from the commencement of tho fail
49, ~
'"' '0''y vi eie pouy III 'ic ustace !, VIII DC u
] times urelt that distance 60
| Ninth During The fall of n hoIv from, I'll. bo,,;n
! ~ ' VI oo'S NOM "e ocB'ii
hiH' "heu'ei III e uis'uhce l, or distance oo, Their
Is no part OF the space or time passed over, howeve
small, in which the motion is not accelerated
Tenth If we conceive ,be Who'll. ,ir,, l., ,,bio,,
- o.tl;,,'. .'oa nv 80 .'"e u, ""''n
pouy II '"h o'e '''e "i'' VI 'i"oe ifo'n ue oegii'
nng OF the iall TO be divided ito equal parts, as int
seconds for instanccif we then assume the rate ,
,,Ic;,,, n, tho end of tho frs, ,;,ro mr. Grs, ,t ,
" ~
DC - uc "e VI 'coci'! 1T 'c e VI 'ie second 'iil
or second will be lat the end OF the third, ian
so OH by even numbers But there is no nortion of IN
=. -. =; ,,li., ,t,. ,..,,,;,,. '
time or space III which 'le Ne'oci'y Is UNIFORM
From these premises, the reviewer might have pro
coedel ner i,e,n TO sci forth n train of nvrrs. conc
sions irpwn from the same urenises son,thinr nt,a
H. :, 'li'n, ,,,n,,nar v;,. ''''s '''c
"
Young assumes That the same amount OF force {
gravity expended, or exhausted, IN urging body
its fall over Ii feet OF space at the distance of tn
moon, or distance 60 from the beginning OF It's fall
at the surface ut the earth, or distance but Ncwto
assumes that it requires only Loo part ms much
Young assumes TINT 1t is the farce OF gravity aon
which performs the whole LdbJr or opryafDn of urrin
the body over the unit of space assigncd-whcther
the distance of the moon or al the surface at the carr
and that pasS,y, time only wall, for the onrrntio
ia be perlorled by the force employed according to il
rotc ar Intensity which rate or nteusjtv he s,n,,
., h tho recinrncaI al he rLoIc t;,uc r1nInveI Inv H.
nnaroiion. Inn Newton assumes that nihnngb sr.
NAV h rue M The surface of the earth bn M The III;
,nuc. ot the moon time pert rms So 60 of IN. o,er
tinn
Rut will not further continue the parablc b1, wi
nrnrr.d IN mote from the reviewer in his own wor
,yhpre in reference To nv conclusions or inference,
Drawn from the premises he SAYS that to uerso
mot familiar with the subject there NAV be some m,
n,ornnrc ot nlausibtv but by moments reflectin
will onncnr that n very important nlatter is over
Looked He Mr. Younrl saws that it rc1nires TN
same force To carry falling body through IL feet n
the distance of The moon MS al the surface of the earl
and he is doubtless right tar regards the force ac
,unv q yh,ust,d in passinu over the Is feet
Well if / am r,uh, throughout the I6 ,eet-,h
whole operation TO be peliormed-thr whole premise,
from which our conclusions are to be drawn-.t wou
seem ms thouah the reviewer had given me the who
ground and totally abandoned every position whic
he would even wish to assume in support OF the New
tonian law of gravity: And that this last fall of /
feet was upon a rock which somewhat derangcd tn
reviewers calculations, is manifest from his attempt
to collect and exhibit the important matter which
had overlooked.
Thus, after assuming as the premises from whic
he wishes the inicrrnces to be drawn, that the
reiocity OF body is always the eject al the sam
aount Of force pressed upon IT, without regard to tn
length oil hme III "hich ue IMPRESSION Il oeihs MADE
(aud greater absurdty in regard to motion as bein
the cDect oil ofce applied more or less inie'eIy can