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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 11, page id 898203430:0039
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=39
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.90
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VEL LIMIT, ORDINATIONVM COMIC. LIB, L.
PR OPO5ILIO M
fuerint duae Flyperbolae per aidersos vertices simul ad
Scripiae, quarum transversa latera eundem supremum
terminum babeant, recta autem latera sint aequalia inter
se. Rectancula sub inteerantibus partibus ordinatarum
sunt inter se et quadrata sermentorum communis diame-
tri (ad quam ordinatae applicantur) inter ordinatas, (5)
praedictum terminum interceptorum.
NNIMEFyperbOla ABC, D E F per divertosvertices B, L. simul adscrivta
D ad communem diametrum BF. M, X exteriOriS ABC, sit tranlversIU
lacus C B, incerioris rero sit C. F. _ Carum recta lacera BFF, F L ordinarim
applicata, aequalia (InE
inter sc. Dico, (1ad didu
MetrUm P M ordinatxe
TIIE QUOECUNqUC AC, 
VHyperbolas, de dia
metrum secantes altera
in A, D, F, C, MI, alterL
vero in C R, T, V, Si
rectansulum A D C ad
ORV esse ve quadratum
GM ad 65.
Tunsatur regulatrices,
CF, CF ee quantumlibet producantur ordinatis occirrences in O, K, X in
X,Z; PF. veroverinque producatur rsque ad FIyperbolam AB C in N, L, 8
ad regulatricem CHI in Y, iungaturque FI B, quae (ob aequalitatem, de aequi-
dictanciam rectorum lacerum BHI. F. L) ipli B F aequidictabics sicque OP ei
dem BF parallela.
Tam, quun sIE GE ad F Y vE HT adt IV, ericrectangulum sub C F in LY
aequale rectaonlo (ub FY, in FIT, vel in BE, hoc est quadrato: lemiordinate KN
in Hyperbola ABC (ob resulatricem C7 Y) sive rectangulo NEL.
Trem quu sIE CTM adMK ve PO ad OK erie rectangulum sUb C M in O
R aequale rectangulo suB MK in O P, Sed hOC, per Lemma prCCedeHS, X qua
cur ditterentix rectangulorum BM IE, F M O, hoc est ditterentia quadrato.
rum semiordinaEACIm AMI, DM ipsis rectanoulis aequalium, verum que veri-
que (ob regulatrices CK, CO) quae quadratorum difterentiz est rectandu-
Ium ADC, ergo e rectangulum sub GM in O K aequale eAt rectansulo A
DCi eademque ratione octendetur rectansulum sub C7S in XZ aequale re-
ctangulo ORV: rectangula igitII NE L, ADC, ORV Puncincer seveip
Sis aequalia reccanonl2 sub C F in PY, sUD GM in OK, sub CS in XZ; Ced
lateTA GFE, OM, GS proportionalia sune laceribus I Y, O K, X Z, ideo
que exiis rectansula Tunt in ratione laterum duplicata, hoc est ve quan
drata