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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 154, page id 898203430:0182
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=182
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.90
# 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.

VINCENTH VIVTANT DE LOCN SOLNI
OGF ad VB L. Led permurando, quadratum O Y aequale C LCCa
ctangulo V B I aequale elt, ee his addico communi quadrato L. B, crunt
254
10 OOF, re paulo superius ostendimus, ergo, de quadratum O L. re
quacrata OL, LB, suc vnicum OB aequale rectangulo V B T cum qua-
dtaOLB, sive rnico quadrato L. P, ideoque ramus OB ad Hyperbolam
A B aequalis semiordinatae P. P inteF OpPOsITaS AF, C V; atque eAt ramUS
OB maior semper sua amplicudine LB, (eoquod OB recto angulo sit op.
Dolita, L. B vero acuO) ergo _ L T maior est L. B, hoc est punctum Y
Cadic intra dacam Hyperbolam AB, e sic de singulis ramis, de semiordi
natis: Ouare huiusmodi oppolitarum Sectionum Convexa AT, C V toI2
Tunc intra datas AB, CV ad veranque parcem occursuum iplarum nempe
ad A. C, in quibus se tancuum concingun, SIINEquCSAY, RC V Limites
propolicae Ordinacionis. Ound demonstrandum Crat.
rollisuut sa, eude t us ricatum Sectionum paria in cadem
inira reliquum in duobus tancum punctis iplum contingens, quale in lu.
Periori ABura est PaF OPPOLICArI SAF, ROV, tansenS Par OppOlICa-
rum AB, CD, in punccis tantum A, C, aeque ipta conactUM
PUNCTA recta linea iunsantur cui aecuidistanter ordinatae sInE quoI-
CAINGHC FCCX VErUNque OpPOSIcatM par SCCaNTeS, rectanoula Tub inx-
qualissimis harum ordina arum parcibus incegraneibus, sune incer se ve
quadraia segmentorum communis diametri coniugatae inter iplas ordina
tas, _ Ordinatam per concactus interceptorum. In praedictis enim Oppo
sicarum Seccionum paribus demonstrarum est rectangulum OGF, ad
VBT esse re quadracum OL ad OL.
MOML
coniugata diamero celtera habentia, ee quarum diametri tranluerta
inrer le aequidistent, fuerine simul adscripta, ita ve par ruum cadat totum