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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 97, page id 898203430:0125
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=125
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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.

GRDINATIONVM COMIC. LIMITIBVS LIB. I.
cur aegresatO ex Pemirecto PF, _ ramo minimo F. B) arque FyperbO-
lae semiaxem transversum PL. posse rectangulum sub D P, aequale praediu
At0 asoregato, in idem Parabola Lemirectum PF. Oux omnia ostende
re proponcbamus.
eROPOSTTTOLMI. LCMMA IV.
I inter AB, BC. sit media reometrica BF, cui sit
d aequalis, (5 in directum BF. Dico rectanculum F AL
rectangulo BAC. aequale esse.
Vum sic enim tOrA A B ad EOTaM BF, VE PArS BF. ad parrem BC
erit 10i2 AB ad c0 am BF, vel ad BF ipsi aegualet BOLITAM, V
reliqua AF ad reliquam F C, e converrendo, ee componendo F A ad
AB vi C A ad AE; ergo rectanculum E A F, sub exremis, requatuI
rectangulo B AC suib mediis. Ouod Cxac _C.
aedtt Lta
Le laradora. Lues Orainationis ramorum ad orieino
tum Ordinala pet ortenem t ardoolam tandentium.
Centrum verd ipsarum distat ab orieine verticem ver-
sus per semirectum Parabola. Semiaxis autem transuer-
sus potest rectanculum sub axis scementis inter contrum
ipsarum. Cs terminos avis triansuli cireumseripii com
prehensis.
 Sio Parabola ABC, cuius axis BO; verrex B focus l, intra quem
L(ic origo ramorum O, quae, vel diltet a vertice B per interuallum
OB semirecto Parabolae aequale, duplum nempe distanciae LB, quxe est
Quasta pars recti, re in prima fgura: vel per internallum OB iplo semin
recto maius, re in secunda, vel per minus, re in tercia; ee in omibus
super ordinacam AC per originem si crianeulum circumleriprum ADC
CuiuS
interna infra focum, sunt ad LOcos connexos Sectio-
nu Oppoptarum aequa ube du erminos lo