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# Page: https://leibnizlegible.com/page/898203430:0070
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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 42, page id 898203430:0070
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=70
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000070.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine
# Lines: 20 recognised, mean confidence 0.81
# 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.

TNCENTIT VIVLLM PROLOCIS.
tiouris, ec ex ramorum terminis ducantur orcitata, cc. qua procla
secene diameerum in O, D, B, Scc. iunCta VerO lATCFA RS, F P circum
aucti crianguli S F. T in V, Z, Sc in O. P, _c. atque productam diago.
nalem C D in I, ee Sectionem candem in F, R. Dico inquam qua-
drata LaMOTM P F, P A, F B, dcc. esse inter se ve rectangula NOL,
ADL3 ABL3 aC.
inveniatur ModuluS N L. ex laterAIi FANSENEC A E OrES, AC. VE appareE in
au
Cum sic enim extensa D T aequalis laterali tansenti F. C, erit quaciratum
DT, Sive rectangulum SCT cum quadrato D C equale quadrato FC,
Tiue duobus simuI FD, DC, d communi ablatO DC, FCIANCE. reCtAn.
Sulum SC T aequale quadrato F D, ec (ob laterum omnium proporrio.
nalicatem) rectangulum OC P aequale quadrato F. B, _V YZ aequale
quadrato P. O, de in Ellipli reccangulum 2 R 4 aequale quacrato F. H.
Ouodmemento. i orieibe ocle
16. tercis. Ee quoniam quadratum tansentis B C ad rectangulum R X F, vel 2d
L1C.
rectarieulum XseXiOE VE a quadramm C. A ac) AX, vel ve quadeatum
BD 2d