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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 62, page id 898203430:0254
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=254
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
# 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.

PEAELALM VIVTANT DE LOCIS SCLIBIS
5
as
X dietis patet, quod iuncta diagonali B F, quum sic duplum 2d du.
L Dlum, re dimidium ad dimidium, crie quoque crianculum BD F mI
imum huiulmodi criangulorum Circuli, vel Ellipss quacranci inleripeibi.
lium, ee quorum angulis et lacera CUm cemerO B, de racio BC AIuL COCAII.
LoELLOZIII.
Rianculorum rectanculorum, quorum accreeata
quad alorum basis, ac onius larerum sint aequalia
manimum id est, cuius basis possit triptum quadrali
unius laterum.
GTNT quorcutque crianoula rectangula A C B, AL, D dec. quorum lum-
D MX quadraEOrUM AB, BC, de AD, DE dec. basium, de laterum
sine aequales, triangulum vero A F D huiulmodi sic, ve quadracuum Ba(IS
AD criplum sC quadrati laceris D F. Dico id omnium esse maximum.
Concipiantur ipla ad idem punctum A simul composita per angulos
extribicis laceribus BC, D E OpposioS, it vi reliqua latera AC, AF
Tibi mutuO COnOrUANE.
Et quoniam in his criangulis
rectangulis par quadratorum A
B, BC aequatuT, ex FIypOcheR,
GuadratOrUM ParI AD, DE, iplo-
3. . TUM OCCUEIUS D, B CrUINE 2 aC
Locum cuiuldam semicllipsis F C
EI cuius maioris lemiaxis A I
quadratum possic duplumm qua
draci semiaxis minoris AC.
Insuper, quoniam, ex suppo(
rione, est quadrarum AD criplum DF, idemque est aequale duobus AF.;
ED exit qUadEATM AF duplum ED.
Fc quia sectangulum HIEI ad quadracum FD est VE rCCLAMBMIAI MALS
vel VE QUAdFATM AF ad quadratm AC, duplum autem est A F ipsUS
quadrari A G, ergo de rectangulum FI F F duplum est quadrati L D,
cuius nuper ostentum est duplum esse quadratm AF, ergo rectangulum
HIEF aequale eAt quadrato AE; hoc est quadratum semiaxis AF duplum
quadeati lateris A F: GUaPFOBECE criangUIUM ADP. erie maximum limili
ratione