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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 115, page id 727094130:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=127
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

1
Cunc in comun pleporcone arirtimerica; quorum communis dit-
Forencia estan
ulus C5. Fodenque modo demonstrabicur, tres
angulos AMB, ASB, ASP, esse continue provorcionales arichmeti-
ee, ec habere communem ditterentiam, angulum PBS. Toicur (I hx
dux Ceries, prichmetice proportionalium, ordine sibi invicem ad.
dancur, vela Ceinvicem substrataneur; emergene anguli PMLC, B
SC, PSOnrihetice proporcionales; quod demonstrandum eruI.
Corollarium.
Elinc paret modus Geometricus, inveniendi excentricitatem,
Ceu Focorum distantium, ec politionem aphelii elliprici, secundum
Hlypochesin CL: V: _ in omni liceracura doctisimi D. Sethi
ardi. Si enim dencur eres observationes in ellipsi, cum mori-
bus mediis; Sumacur medis arichmetica, incer morum medium,
Sc morum apparentem duurum obervacionum; qua media arith-
metica ponatur loco morus apparenris in circulo, et cum hisce mo
cibus apparentibus, e mocileus mediisiildem, qui in elliper; in-
veniatur circuli excenericicas, gux eadem erir cum distancia Foco. 76. Hujus.
rum ellipleos; polio exconcricirgdio, axe ellipseos: erirque POti-
cio aphelii a linea medii morus in excenerico, eadem cum polr. io.
ne aphelii, seu axeos tranlverti, ab eadem linea mediimorus in el-
liph. Decrereram hic manum de cabularollere; sed quoniam de
Planecarum inaqualicacibus, acutissitnas aliquor proxoliciones evul-
sabitD. Sethus ard; placuie hunc cractaculum illis nobilicase.
et qualdain de eadem materia e nostra penu adjuneere.
 LToblema
F daris, Planera motumedio, Aphelii loco,  ratione axcostrans verst
ad distantiam focorum ellipseos; plarele rectum apparentem inve-
O IE A P axis cramvertus elsipleos, A aphelium, P perihelium,
aEFocus mediimocus, S Sol, live focus morus apparencis, 510-
cus planeiae, cujus medius morus ab aphelio A F5. Duaeritur ip
EuS verus mocus ab aphelio AS5? Producacur F5 dd5, e
nire pro venlo in sole constituto.