# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1040780814:0033
# Permalink to this reading: https://leibnizlegible.com/page/1040780814:0033?run=74
# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 15, page id 1040780814:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=33
# Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000033.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Lib.
SB. POYTO
insita.
cula pet
dirisitum
C5: 30
15 CentI
rectas d
MIM.
ed vers
aliquan
quod et
ErCita nO
ApC _V
E prOin
Inde (p
ad illaM
NaISq I
Occident
identen
ti pera
radio a
ortionale
rtCM,
a ad Y
ii Orbil
tiS etid
Cetu set
dumm uI
pauloc
resped
5oli3
_ EFF OMB LRKOM AD. LMAS RN TA.
lis, progredi quam in ialiis, i atra dicecurs, sed disterentin doc
ele parra, ut hic tit nesfisehda: Sed ec cum Plancca lune Bolivro
Piores (nam eorum Orbita us sunt circuliitGoliiconcenteioi) e
eorum Motus ita actempolatur, ut Area a rachiiomd Solenrduetis
descripta aequabiliter auscanturi ue in decuxsuisparebittrisitur
Vires, quibus a motu reclumeo retrahuntur Planota, ec in Orbitis
PROPOSTTIO ZIV
Tres quibus Cometa in Prajectoriis suis (sihae sint Curvilineae)
retinentur, non tendunt versus Terram, se d versus Sobem.
Stenim Cometarum Prajectoria Recx Cunt, nullis ursentur illi
Viridus ad punctum extrd Rectas iltas positum cendentibus; quippe
quibus a motu rectismeo retraherentur, es Orbes curvilineos deleri
Derecogerentur, per Prop. ZI. Si vero Cometarum Prajectoria Curvx
Cunt, tamen Vis, qua Cometa quiris in ilta Curra retinetur, rersus
Terram non dirigitur; quia Fellus extra Trajectoria planum ple-
rumqule reperitur; e Plaeterea, Terrae respectu, nunc progreditur
COmeTa, HUnC reTFEIEUE, EE AreaS proinde per Radios ad Perram
ductos describit Lemporibusminime proportionales: Respectuvero
Solis in omnium Trasectoriarum planis positi, semper in casdem
Pucles tendit Cometa,  quidem quo Soli vicinior, eo relocius; ita
ut Area a Radio ad Solem ducto deteripta aequabiliter, instar Pempo-
rus augeatur: Onde exProp. XII. constat propositum.
suis retinentur, cendun versus BoLOI.
De Ordine, Distantus eo Periodis Planetar d saut t s
circa primarios revolventium, Cs. Borum. Phaenomenis, deque
Directione Virium, quibus isti in Orbitis suis retinentur.
EOPOSLEIO, V
Rainem es Motuum Periodos Planetarum Secundariorumo
sive Satellitum circa proprios Primarios, t ant  sise
Distan
as exponere
F. sex Planetis primariis, qui cirea Solem revolvuntur, Trestan-
cum tunt (quantum observatione ac ea) Satellicio do.
tati, nimirum circa quos alii rursus Plancta us prop e
daris aepellantur) rerolruntur. Circa Tellene  l. Lua,
dicbus 273 lee ua adore, ce Len at
circiler 60 a Lellure dultans.
Cirea jorem quatuor: quorum intimus rerolritur die T3 ad Di
Ctantiam 53 semidiamerorum foris d cenero ejuldem; secundus re
vetricut acio3 cms auaa tlalatC(OtG. Tertiuo
alae