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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0635
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nor 5o trom the Cenere, bur ony pals alons ele
evere no Tuch C’entre near ic ac all.
Wrten che Projectile Norion oL the Planets is
inis Oiection, perpendicular ro a Linefromthe
Sun, aud in its Dcoree ot Velocier, (0 nicets
adapced and contemper d ro che Ouancies ot rhe
Suns Aeclaction chere, thac neither can Over-
come the orher, (the Force oF Gravication tO-
ards elle sun, and che Celerier of che Planers
ProPer Mbions, beins pertectir in aequilibrio,
the Orbirs ot uch Rerolving Planers will be
Compleat Circles; themselres neither approach-
ins to, nor recedins trom the Sun, che Cenere
OF their Morions. And che Case is the same in
Secondaty Planers about cheir Primary Ones.
Thus ris supposable, Thacthe Velocirs oF alI
che Planets abour the sun, wvas exactls accom
modare Miginally ro his Porver oF Aerraction;
and chac cheir Primirire Orbirs vere Perfect Cir-
cles; From wrhich ac this Dar cher do noc much
ditter. Thus horverer, Fupiters Four Sacellites
Or lccle Moons hare cheir Morions (0 exact1)
proportioned r0 cheir Grarication ro him, chac
cheir OrDitS, 25 Far a5 the most nice Oblerra-
tions can judge, are perfect Circles, they Kecp.
ing ac an equal Distance From his Centre in aII
ele Poinrs os cheir Courses about him.
Whenthe Projectile Morion is nor adapred rO
bue is cicher r00 (wifr or r00 No For che Atra.
ction torvards che Ceneral Body, che Orbirs de-
scribed rill be Cllipsis; and in che former Cale,
Wvhen che Projectile Morion is 100 (vitt, theOr-
bir will be bisger than the Circle; and the near-
ex Focus oF che Fillipsis ill be coincidemr Wich L
Cencrat Body.
ac difterent Distances From il, Ther will describe
Fioures oF disterent Species Aboutir. FOr WHer
chal decerminate egrée ot retocus
ice ivere just Commensurate 10 the
Cenital Bodies Auraction, diel (0 voula pro
duce à Circular Orbic, mult ac d Ldetter Di
Sance be 100 hard For ic, by seaton oF che Di
minurion of te Accraction clere; an Clliptica
Orbie must be described, whole nearer Focu
avould be coincidene ich il Central Body
like manner, Wvhen che lame c
eree of Velocies vere, al a Mau Matce
artiere che Cencral Atraction ls augmenced, is
vould beroo licle tor the lanle, and an Fillip
ticat Orbir must be descriecus utiose farthie
Focus voule
du. This cannor be ditticule, ii pou contider
thac the Species oF the PlanccaL) ABIIS depenc
(0lY on che Proportion berweenthe
arus rhe Cencral Bod), altet iC revets0
pondene co che Auractire Force of the Centrai
Langent in which ic as morins, as il chere Body R, neicher will prevail; and the Bod
prelerrirs an equal Diltance trom elie Centre,
WilelcriDe ie Circle B0 F b.
IF che Cclerirs d Sleacet, l W Oretcoe
the Arrraction, and cast ic selE Farrtier oA che
Centre for lome time, and lo revolre about it in
ehe larger Fllipsis BIIF C; the Central BodY
Possesins chat Focus A, Wvhich is nearest che Poine
B, wotiere rhe Auraction beraH. BdL I CIC LC
lerier be smaller, the Acrraction oF the CenEraY
BodY A will be roo hard For ic, Wwill Force ic FOF
Tome time to come nearer, and to describe che
be bers plam Leom che Contiderarion ot ihe lit
Eure relacing hereto.
leser Fllipsis B R L I; the, Ceneral BOdy pos
Cestins châc Foeus A erhich is Farthest from the
Poine B, Where ine AErractiOn beGaII: HS WI
Tis indéed postible chac che Celeritr ot Bo-
clies mas be lo creat, compared rich che t’orce
ot Aerraction 10 the Central B0d7, 25 10 cast
them oH wwich such Violence, thac che Aurac
willnerer be able ro bring them round, or make
them rerolre aboue: In Wtuch Cale the Orbirs
described will be onc, ot the ocher Conick Sc
Aions, Cixher Parabolas Or: Fyperbolas, accord
ins ro che less or grearer Violence with whicte
che Bodies are throun; and the Central B0d
prill possels the Foous oF such a Figure. Buc ne
Phaenomena OF Nacure perluadins us that defacto
any ot che Flearentr Bodies do delcribe eirhe
OE chole Lines, (tho Comets Cllipses come near
to Parabol a 55) Sereral Bodies morine about che
Pame Central orie, tho cheir Primirire Velocit
vere equal, and Direction alike, yer il cherbe
one Disto
irtich 2
eterminare De
De coincident wich che Central BO
ction 1O
the Projectile Morion; a5 ThaE PrOpOrriOn rC.
mainins ac any Distance whacloerer, the Big.
nels oF the Orbirs will be rarious, bur che Spe.
sed, Thepecies ot  LGues. Ms be chansc
cies thelame: S0 When chac Proporrion is cham
also; Which beins done, che Velociry siven, b
the various Force ot Arrraction in Pereral Di
stances From the Cenere, as vell as by che vari
And in che latrer Case, the Orbie will be lese
than the Cirele, and che FartHer FocuS OE the FI
Dixsis ill be coincident wwich chac Central Body.
ous Velociries ar a giren Distance, of wrtich be-
Fore; ris evident che Species oF che Orbirs will
be aeLCI s CIS as vell as in the forme
Case
And ihe Bteatet Disproporion there is Be-
eveen ehe Ouanrier oF Acrraction and the Ve.
a CIr.
Chuo,  De Celetuy ol P De Exactly Cortes, lJoctes ol se Del etvine Bolico, ihe laches send