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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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And parriculariy che Sum oF =2 -] - 35 -L=
equat 20 = =; and che Lum OF = + -1 575 - 4553
esc. decrealins in an Oetuple Proportion, is equat
203: For Tuberacting che Arst Perm o, and diri-
dine che Rcinainder by che Name oF the Rario
lessen d by Vniey, chat is by 3, the Ouorient 22,
sires the Sum oF aIl, excepe the last.
This Theretore (viz. - 3) beins added, che sum
oF all Wvill BC, = Or = S: In like manner- Z beins
divided byche Name of the Reason lessen d byV.
nier, ehie Ouoriene vill sire,; and adding che
lalt, the Sum of aII will DC 223 1. c. =: 50 haC
hence ris evidene; LHAC ,5
(90. OP-
 5 -)- - 3 -1-
73
in BC. in Ensi
nirum, ill be equal ronorhins; and 5
40383 (90. = 0.
15, - 73-
5. The Sum oFan Insinite Progression, WohosC preat.
est Term is a Square Number, the ochers Decreatine
accordins ro the odd Numbers 1, 3, 5, 7, 696. I5
in Subsequialteran Proporrion of the Sum of the
like Number oF equal Perms, 1. c. 25 2 103. FOF
the Sum ot Three Tuch Perms, 259, 8, 5. 1. c. 22
co chrice 9, 1. c. 27, is (dividins boch sides by 9,
D prevent a Vacuum, press wich aIl due rescH
atrer chie Sione wrhen it parrs trom the lland, and
25 2 3, dZ. 75 103, Or 2 -) 2 = 15 1 5. Du
the Sum of Six such Ferms, 36, 33, 32, 27, 20, TY
1. 8. L6Y, 1O  TmeS 36, 2, c. 216 TCVICIIS DOI
Conne seems verr unconceirable; and chere necd.
nochins more ro solve che Morion ot Projected B0-
dies, bur onty ro contider, Phac all Bodies Deine
indisterent eo Morion Or Rest, will necessarily con-
rinue che Seare crhich they are pur into, untels
they are forced to chanse it by Pome other Force
impressed apon them. Thus if a Body be ac relt
C0 ic ill eternallr abide, it nochins move ic; Oe
il ic be in Morion, (c it vill eternally move uni-
Eormir on in the lame rishe Line, it nochins Hop
IE. Wheretores votren a Stone is pur into any De-
eree oF Morion, by che Rocation oi the Arm ot
ihe Man char sings ic, Wrharerer Ocgree ot Velo-
cirs ic had aequired when ic parced trom thetland,
the same vould ic ever atter keep it ic moved in
Vacuo, and had no Grarier: Bur becaule Ic halita
Tendencs, 25 all Bodies (by che L aW ot Nacule
hare, towards che Cenere ot the Farch, and is allo
relisted by the Air alI along a5 ic sOcs, in PrOpOr
rion eo irs Velocier; ic plainte follons, chat ic must
Recds be boch continuallr draon donnmards, and
allo continually recarded in ies Progresire Morion
Formards, and consequendy ac last Fall donn to che
Farch, and ROp.
The Line ot Morion wotich a Body projected de
scribes in che Air, (absractins trom ihe Retistance
Sides bY 72) is a5 2-] = = 7 2, C3c. che adherins oF the Medium) is, as hach been proved by Calli
Fractions rhus altvays decreatins, lome by FIalF,
octers by Three quarrers, a5 in Coroll. 7. Progres-
sion Arithmetical: Wheretore rhe Sum oF che Inti
nice Progression will bero che Sum oE rhe likC IVut
bex ot Terms equal vo the srearett, 25,
laus, and many Ochers, and parricularls by our
AIT. Nomton, Prop. 4. Cor. T. OF his Second B00H
che Curre oF a Parabola: Wtich Line is allo de
scribed by ererr Delcendins Body.
(9c. décrealins in a Cmradruple Proporrion, is equal
10 = 5; and che Sum Ol 0 = -(= = 35 -1 - + - 2, (9c. Is chrusts ic formards as lons a5 ic can. Buc chis AC.
80 130. 10 3; Mac i
by Coroll. 2d and get, 25 2 10 3. R. F. D.
Dle Mhews allo, Phacil che Line oE Direction o
elle Projectile Morion ot any Bodr, ihe Degrec ot
ies Velocier, and ac the Beginning, the Resistance
ot che Medium beins siren, ee Cutre We
 ccletbe Ia) Be dilcorereu, ai vice versa;
ene which a Projectile desctibes u d Medium uni
he Pairh al(0 in Schol. LrOP. LL. Ld. L. Thac the
Lomly resiccins the Morion, carher appronches 10
an Fsyperbola chana Parabola.
PRDEITBEETO de vasto directa parti, is a Wri
sudicial dirceted lo the Tenanc, prohibiting from
makins WVas upon i LAH M COTONIM, CU
rins che Suic. Icis somerimes made toche Sheris.
PROFIIBELLOH B a Wet W Torbid any Courr
rescribe a Parabola ehus:
The Lcarned CapE. FTalles POres Proseces l
cicher Spiricual or Sccuras, Woptecced in any C’ause
rhere dependins, uxon Susgection hac the Cogni-
Parice thereot belongeth noc 10 tuc Pame C Ourr
Butis nol most ulualls raken tor chat Wric irhich
siech tor en chac is impleadea su ne Court. Chri-
stiun, tor a Cduse belongins to rho lemporal Ju-
rifdiction, or the Conulance ot ile lu Courr;
whereby as vel che Parer and his Council, as che
Judee timsett, and che Register, ate Corbidden to
proceed any furcher in thac Caule.
TROSECTTLES, are Cuch Bodies, as bets pur
into a violent Morion by any siven L’orce, ale c
calt oH or let 80 trom the Place where elles re-
ceired their Ouantier ot Morion, and do atrer-
Waldo more at a Distance From ir; a5 a Stone
chrocn our ot ones Flands, ox by 2 Slino, al L-
ron trom a Bor, a Bullet Trom 2 C un, (9c.
There hach been a orear Dispure aboue che
Caule oF che Conrinuation oF che Mlorion OE Pro
jectiles, or whac ic is char matces them more atret
thes part crom che Force chac began che Morion
The Peripatericks will necds have ic, Thac che Air
beins by theMorion of the Iland oF che Slinger
C5c. pur inco a most violent Agitarion, and Forced
rapids ro tollo che Morion ot the Scone, wrhile
Tet the Line CR F be che Line in which che
Axiom
cis acceterared in he Fland ot che slingen,  atoject is directed, aud in wotict, br che tic