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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 151, page id 898203430:0179
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=179
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.89
# 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.

ORDIHATIONVM CONTC. LIMTIBVS LIB. I.
polixe Seclloles bl, FK, da Glatum tectum lacus BO ra ionem habeat
trantuertum F B, Cam, quam haber summa laterum F. B, BZ ad rectum
BY, SpIaS BL, FK, esse Limites propOlIIOS.
VeCatUr ex Orisine G quicunque ramuS GH dd datam ABC, ee per
C sic ad aXeI CONILS aCUI LLL SCata A HI, quae ad VIFaNqUC PAFEEM
producta occurrat Sectionibus in punctis I, D, R, per quae, dt ex A ap.
Plicencur ad axem veinque productum EB rectae IL, DO, KM, AH.
FrunE itaquC FAM COEX HI, HIH, quam PArTeS HIA, HD, de quam
reliquae AT, DK inter se equales (quAM EI P SIE HarUM SCCTIOMLIM COMI-
munis diameter coniugata) paricerque his oppolitae super aXeM ML
aequales crunE.
lam: rectangulum E. L. B ad quadracum P. P, est ve a transuertum F. B a 2r. primi
ad BG, vel. ex constructione, ve F. B cum BY ad BY, et quadtalm Conie.
verrices B, F, seu cum eodem axc cransierso BF descripiae sine alixe op-
TY, sive AN ad F N B est ve B BY ad BF, ergo, ex aequali, E. L B ad b ibidem.
FNB, SuC M BL ad OBN est ve EB cum BY ad BF; ideoque a
M B L. ad disserenriam inter MI B L. _ OBM, Sive ad MNL, siue ad
XAL, eriC vE F B cum BY ad disserentiam inter OB CUM VY _ FB,
hoc cs ad BY, sed eA quoque FB cum B Y ad B Y ve rectangulum
FL B, vel MBL ad quadratum L F, ex nuper demonstraris, ergo quum
idem rectansulum M BI tam adt X AT, quam ad quadratum L. L candent
hrabeae rationem, erit rectanoulum R A L aequale quadrato TL, SIIIC IIC,
ee communi addito quadrato HI A exic rectangulum K AP cum quadrato
FIA, siuc rnicum quadratum FTL aequale quadratis HIC, FT A, vel vnico
CA, ideoque ramus C A aequalis semiordinatae HIL: Fit Sic de singulis
ramis, atque lemiordinatis etiam ad aliam partem Sectionis DFF. Oua-
re huiulmodi Sectiones opposix BL, P K Tunc Limites propoluae Ordi.
nationis. Duod erac demonstrandum.
PRO.