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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 45, page id 1040780814:0063
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L1bi
P V Bde
prono
loria A
in sins
rONOMO
ETaM Q
Cometu
constali
vectoria
3 1
abcatuI
In quad
vere de
DrUI a
nmoddi
ia in OI
ISTIIAHL
CXCCII
 portio
illa nO
era eju
modo
E Cal
volvituI
eneru
Ua CITCd
BUSTaY
et ejus
um in
(PFOP.
SOlem
OdCun
ationes
omnia
taCI
lipses
L. iD. I
EE CFEOMETETOA H, LE M B N LA.
lixses (etiam abstrahendo a motu Primarii) de novo describantur.
Sed ur illorum Orbita ad Flliples reducantur, oportet concipere
tillipsn quamque à Plancta secundario descriptam etiam motam,
sic ut manentibus FIlipsis plano, _ foco in centro Primarii AXO,
Axis Fllipsis circa focum immotum feratur motu angulari, in con
sequentia. Verum motus hic tam tardus est e insentibilis, (quippe
qui etiam in Luna plusquam centies tardior est quam ipla Luna,)
uc hoc loco mexito sit nestisendus; et Fsiples, quas secundarii de
scribunt cirea suos primarios, pro immotis habenda, nisi quatenUS
una cum primariis cirea Solem deteruntur.
PROPOSTZIO XXXVIC
corpus secundum directionem rectae curasvis projiciatur, es
Simul urreatur a i Centripeta tendent d centrum s, ita ut
motu ex hisce duobus composito, describat cur dam a P P: Banc vero
tancat in puncto quobis e recta PR, e a punci B, ipsie proximo
ducatur BD rcca se normalis, o BR eidem St putan, o
lisque fiat construetlo ad aliud quodvis curva panctum p. Dico
im centripetam in e esse ad rim centripotuno in p, siui
3P9XBC
Ut Soldum
gD
sive im centripetam in e esde reciprobo
BR  feura PR B D est I P S
ritur alcuo us eB, Vel quo corpus, Lola Vi inlita, percurreret
tansentem minimam ex, rocetur I. Vis centripeta in p asens, voce
cur V: e tempus quo p b percurritur, rel quo tansens pr percurrere
tur, rocetur F. Sumatur arcus eB, quem corpus percurrit xquali tem
Porc quo ph arcum; e ducaturBp
Darallela ad P S. TTisCO POTtIS, ra-
tio lincola ex ad lineolam br com
Donitur ex ratione BR ad B P, de ra-
tione BP ad Br: Scd (per Propo.
LGX BD
or
BR
Vis in e ad centrum s tendens, vocetur V. Tempus quo percur-
XXIV.) BR est ad Bp in duplicata
ratione arcus e ad arcum PB; 
hi aICUS, CUIMI HINE MIIMIMII, caL cC
triansula a atca b3L, DSP; HOc
CA, (per Frop. XII,) i tempora qui-
DuS, TacO aet SCCLLO, aCTCribUNEuE;
lre, per conttructionem, ut tempora gulbus com un 
PD. Rursus, lincola Be eAt ad lincolam Br ut causa  p
ductrices; hoc est, ut Vis centripeta in Pad Vim cen  P.
3r = 2 + ;AVC BR L 
Br
BR X F
bra FI. Ded (per PrOP. XI.)
Ft igitur ratio lineolae e R ad lineolam Br componitur ex ratione
duplicata temporum quibus percurruntur e B, Pb, e ratione Vis
centripetae in e ad Vi Celscripetam in p. l Ci, IH IsVOIIS.
PCt
env. Adeoque
BR