# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1040780814:0356
# Permalink to this reading: https://leibnizlegible.com/page/1040780814:0356?run=74
# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 338, page id 1040780814:0356
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=356
# Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000356.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.94
# 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.

ASTRONOMLE PAESICAE
S F C T IO V
De Fctipsi Funae.
Cum Lib. HT. actum Et de rero Notu Telluris circa Solem, cui
per omnia respondet Solis circa Terram Notus apparens; d Lib.
hoc rr. de Lunx c Terra Spectata Motibus rariis; omniaque qua
ob Diurnum Telluris Mocum circa proprium arem in Caelis appa
rent Lib. II. pertractata habeantur; quaecunque Soli Lunare acci
dune ex supra traditis Facile deduci voterunt. Ouoniam vero FCh
pses Luminarium Phaenomena sunt inter Caelectia admodum con-
spicua, quarum contemplationi, causarum inrestisationi d calculo
Plurimum (immo ipsos fere natales) debet astronomia; illas alio
rum exemplo seortim traccabimus, praesertim cum hic plurimae
occurrant speculationes digna qua plene excutiantur. In hunc A
nem Lemmata quaedam ad utramque Felipsin praemittemus de Lu
minarium Semidiametris apparentibus, Terra e Lunx Ombris ec.
qua vulso nomine Diacrammatis Fsipparchi indisitantur, quia ex
harum comparatione (qua ex Diagrammare est satis manitesta)
Esipparchus Luminarium Magnitudines e Distantias definire cl
aceretuS; Ticut antea ab Sristarcho factum in Libro De Maenitu
dinibus ee Distantiis Solis et Lunae, e Postea à Ptolemaeo C ap. XV
_E XVI. Lib. V. Maenae Constructionis.
PROPOSITIO ZXXII
Olis e Tunae Semidiametros apparentes dato Tempori concruas
Dinvenire.
ObTerventur Tempore quoris Solis Lunaque Semidiametri appa
rentes; cumque ex Theoriis Solis ex Luna supra traditis horum Di
Stantix a Terra tam Tempore Obserrationis quam alio quovis dato
innotescant; corum apparentes semidiametri etiam innotescent:
Sunt enim dati corporis sphaerici Semidiametri apparentes reciproce
ut ejus distantix ab oculo.
Axtisices Tabulas condune Semidiametrorum Solis et L unx appa
rentium pro Anomalia media gradu (quinisre gradibus) quem Lu-
minare tenet. Cumque porro sphaera semidiameter, in eadem distan-
tia d Ferrae centro, major sE quo Vertici propior est, quippe spe
etatori vicinioris; ee difterentia hujus in ITorizonte d Vertice st in
Luna sensibilis, in Sole non item: ideo Fabulas Incrementi Semidi
ametri Luna apparentis pro singulis (vel quinis) sradibus Flera
tionis Lunx supra HTorizontem etiam condunt.
PROPOSTTIO XXXTII
Esphaera opaca lucidae sphaerae exponatur, siet umbra totans so
plena (hoc est, spatium medii circumtusi ad quod nullus lucida
sphaerae radius pertincit), ad partes à sphaera lucida aversas, in
olusa superficie comi recti, cujus anis est recta sphaerarum centra con-
juncens, basis circulus sphaerae opacae partem illuminatam ab od.
seura
it