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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 50, page id 898203430:0242
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=242
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 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.
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# After the first blank line: the recognised lines in reading order, one per line.

NINCKMTI VETTANI DE LOCIS SOLVIS
ECC
l
LS SOLIDIS
 T F R T IV S.
PR OPOSITIOI.
Deus, quem allneunt vertices trianculorum simi.
lium, quorum sajes ab eodem dato puncto ad ean-
dem rectam undum extra ipsum datam pertineant, la
tera vero homoloca sint similiter posita, est LOcuS Pla
nus, videlicet ea recta linea, quae vertices duorum
eantum quorumlibet huiusmodi trianculorum coniuneit.
Onstabit id ex sui converto ita exposito, ac demonstrato.
Ad eandem datam rectam AB, ex eodem extra dato puncto C
perueniant vecunque duae rectae C A, CB, quae sine bales, vel lacera ho.
molosa similium triangulorum CD A, CF B Cimilicer positOrum, Ita nem
De velatus AD homologum sic ip ( BF, de C D ipsI C F, vertices vero
iplorum criansulorum D, E, iungantuE recta D F, aEque ex C ad datam
AB ducatur alia juxecunque recta C F, cum qua ad punctum C. Hat aN.
gulus F. CC, aqualis alserutro angulorum ACD, BCF, iuli Sa d tecta
FC. Dico eriangulum F CC esse simile, similiterque poticum datis.
Nam, quum triangula CDA, CF B sine similia, ex FIypocheli, simili
cerque porta, erunt latera circum aequales angulos ad C, hoc ordinc p
porcionalias adelicet AC ad CD erit vE BC ad C F, de permurando AC
ad CB ve DC alCL sed anguli ACB, DCF sune aequales, quum
ex aequalibus daris A C D, BCF, e ex communi dempto, vel addito
sine constituri, erso criangula ACB, D CF inter se sunc similia, anguli
que