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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2
# Folio 6v, page id 00068126:0012
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Redeamus
dmm jam ad Circulum: ibi B G est media proportionalis hnter
AB et BC + CA, id est hoc loco (in casu arour, AG elementaris) BG
er
est med. prop. inter AB et bis Ac. Ergo B = BG quoqe AC, 
gatore
Erga ex priore ipsius k
et AH = BGquo Ac.  G ae AF differint inomparabilitem
erit C
fif Ergo K = ~K BG qu: 2(X. Adeoue AH ad KP ut 2RN ad AC
vel ut ZN ad 2 AC. Id est Ade solicitatio paracentrica circulam-
KP
Tis, sive conatus, quo mobile a centro rereoere tendit, est ad gravi-
tatem; ut attitudo ex qua grave labendo accipere potuit velocita–
temestar dimidium radium circulationis. Et proinde si aequalis sit
gravitas et conatur recedendi a centro cirruli; altitudo ex qua
grave labendo velocitatem circulationis acquirere poluit,
aequabitur dimidio radio circulationis.
Hinc etiam apparet diferimen notatu dignum inter con
cum a centro recedendi qui’est primo momente, quo mobile circu-
lationem incipit, et eum qui est in prognersu. Continuetur DA
versur I, ponaturque mobile veniene linea et directione 1A, in
raedium e normaliter impingere inpuncto A; ibique a radio
capi seu ei addaerescere, continuatoqu impetu suo motum conver–
tere in circulationem circa Ci patet conatum procedendi
pobilis si non impediatur esse in recta AD, eo adeo recessum
ubi idem  mobhre
a centre esse d, dimudium ipsius 5F. Sed statim u
infinitam suli-
polus
a polygoni justi triprogali circularis latere AG se  aee ts
quod tuanite per 1A
veniene primum penunit, idem mobile eransibit ad aliud
sequens latus; jam conatur recedenti fiet ipsius Gd
dupluri ita ut reverum sic discrimen faciendum sit inter
mobile, quod in arcum circuli A G cadit per angulum con
tactur, et inter mobile quod in arvum AG incidit per alium
arrum EA circuli ejurdem, quod notabile est. Sed cun
recedendi conatur ab angulo contactus ortus non nisi momen-
laneur sit, alter vero durante circulatione locum habeat
pajus soline in ulu ex applicatione ratro haberi debet. idemque
est licet inter circulandunradius
circulationis mutetur, potest enim
motus compositus intelliai ex circula-
tione continuata in circulo priore,
et progressu rectilineo mobilis in radio.
poro.
(10)Generatim