# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1040780814:0360
# Permalink to this reading: https://leibnizlegible.com/page/1040780814:0360?run=74
# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 342, page id 1040780814:0360
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=360
# Source image: https://digitale-sammlungen.gwlb.de/content/1040780814/jpgs/default/00000360.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# 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.

ASTRONOMLA PHESTCA
Lib. IV
Partes viciniores ipsi umbrae plena (in ejus meditullio posila, a
quo omnes alcentur radii à lucica spla ta manatLes) DDICUTIOreS
prorementibus lulliata. Oupeleno delem penuba cueu
Teribens eR coni recti, cujus axis est recta A D ultra sphaeram opa-
cam protenta, basis rero circulus alanetro BL. Vel L. delcssplus.
Fodem prortus modo quo in plal. ex A alcantus secia Cieu
34.2
lum cF concinisentes in HuL, Ellarum a_ cum ipta D F. produca
concurrat in R; e CL B alleantur rectae tansentes circulum DF IN L.
es ABL. _ BA_ simul. E summendo horum duplos, angulus ECD
aequalis est angulis MBL _ Ta rr simul Cumptis.
lunt quam remotiores; quippe radiis a minore lucida sphaera Parte
_M. PeF PrOP. XXXIT. Lil. T. anguNS AC D aqualis eAt A K D _ BAK H
mul: Scd aRD est pronite aguato bL, Ce isitur acD aequalis
Ponatur alterutra sphaera, V. 8. FC OpACa, _E SecetuT COnIS pen-
umbrosus plano basis plano parallelo, Hetque circulus cujus diame
ter No elt rectae DF vel P C parallela, cujusque centrum e est in axc
coni; ex quo ducantur e e, ex circulum P. a tansentes, _ junsantur
rectae BO, BN. Per PrOP. XXXIT. Fil. I. ansuluS PB N aequalis CM BNC
e Ber simul sumpris: Sed (s BN sit fere aequalis BP, quod supPOnO)
BC eAproxime aequalis BPe, et modo onentum eAt BC N elle ae qua-
lem a BI. e Bar simul sumptis; e isitur exx aequalis est aggresato
trium anguloru BPC, BAH _C A BL. FF Sumendo horum dupl05, an
Sulus opN aequalis eA aSBTESatO triU An BUIOTUM OPR, HA LCC L BN.
SCTOLTOM.
Si sptaera DF referat Solem, FC Terram, et NPO partem Orbicae
Lunaris; Penumbra Semidiameter ex cenero Terrae visa aequalis
eAt summa Parallarium horicontalium Solis et Luna aucta Semi.
diametro apparenti Solis.
AC S sphaera DP reterat Solem, L C P unam, veo porcionem Disci
Telluris in quam Penumbra incidit; Penumbra Semidiameter ex
lumae centro ridetur in apsulo aequali aesses alo semidiametrorum
apPa
ee