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# Title: Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata (shelfmark Leibn. Marg. 94)
# Folio 125, page id 727094130:0137
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=727094130&page=137
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.83
# 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.

A  43
igicur DA est ad P A + 4, uc 244H ad 2 2t + 4, vel 144H
100
2d 2002 + 400; Ex ideo horum differentia, nempe 400- 44H.
2442:: 4: 5762 =-D A, oroinde PA1 4 =- 1600+ 400H -
400 - 44H
410 = 44H
AO, _ RA =6643 800; aC BCXOA = 76004 + 4009:
400- +4 2
4c0 = 44 V
100:: BRX R P. 6649+ 31647  4d00: 64; igilur
400  442
103400I+ 25500g=664009. + 3184001 480000, &
40r 44H
400 44
xquarione reducta 179 = 200- 90; ur de dacur 1I =
95425= 45 = 1686 = BO. ACgi ex his facile dancur diamerri
Conjugala; _x ex diamerris conjugaris, et errum anoulo, aXeS CON-
jusaei per Praxem paz. 50. ast Geomerrica, vel opc 72, e77 de el-
lipse Crceo. 2 (. Vincentio. Lc randem ex pradictis dacis, Facile in-
nocelcune omnia quaelita, cerrum nempemocus medii, (( sic in
rerum nacura) locus solis intra elsiplem, & excentricitai, seu di-
Cancia ceneri solaris a cenrro medii mocus, d ellipleos planetarix
speciES.
CFOP. 65. Problema.
Supposicis Theoriis Terra.  Planet ae; locum Planeta eterra, que
ad loncitudinem, latiudinem supputare.
1 =
Crrx . Cd OIDUS docis suppuretuE ipCiUS lOcui, GUI IN 78. Rujus.
touta
L. UsuSHET: _ eodem prorsus modo suppuretur l0-
cus planeix in suo orbe, qui sIc 5; d dara a nodo distontia _ in-
elinacione orbium, inveniatur BS 5, latirudo planeix centrica, ee
locus illius in eclipries B; Cumg; decur locus rerrae in cclipeica I,
darur angulus r SB. Dantur erium ex rneoriis cerrx e plaBCEX 78. RujuS,
50, 55. X in triingulo rectangulo SB 5, Cdacis sS, BSG repe-
ricur BS. Deinde in criangulo BS L C daris BS, S L, ee angulo
comprehenso BS I, darur latUS L B. _ angulusSTB, lOcuS PIa-
nera in ecliprica, ecerra 2. EFcandem, ur TB odSB, ita Can-
ene