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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 12
# Folio 5v, page id 00068057:0010
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068057&page=10
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.95
# 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.

Ohunica verorum sciscitabilium scientia a Divina in hominum
mence intusa, ut tiaec imperriis, mutabilibus, Fallacibusque contem-
eis, aeterna ilta, quae semper de unicuique sunc eadem, tancum appe-
tat, nilque aliud unquam magis innocuum scire perquirat.
Anisma a C. C. L. Tolutum est 27 Maji Atylinori 1692, ca sci
licet die, qua ad cum perrenit, e proximo curlore, id est vertia
abinde dic, cum hac Colutione de Epistola ad Magnum
Principem Hecruriae remissum. Solucio au
tem haec est:
CONSTRDCTIO TESTODIMIS OOADR
lis Hemisphaerica; Autore 6. 6. L.
Ceperticiem Sphaerae Archimedes demonstarie equalem esse cir=
Dculo, cujus diameter sic dupla diametri Sphaera. Idem rium
octendit, qua porrio quae cunque Sphaerae, arcus circuli rotatio-
negenita, adeoque rel uno circulo abscissa, vel duobus compre.
hensa, ad circulos ec circuli porciones reduei porest. Priangulum
Sphaericum cribus circulis maenis contentum dudum dimensi sune
GeOetrX. Nam quadcupla Frianguli arca est ad superticiem
Sphaeca, ut Cumma angulorum, duobus rectis minuca, est ad duos
rectos. Hlinc jam, cum dentur ee triangula duobus circulis ma-
enis d uno minore ad ambos normali comprehensa, Facile haben-
cur etiam illa, in quibus anguli lunt qualescunque; imo in trian-
sulo jam magnicudine daco, alium circulum ex aliquo ejus angulo
educendo, dancur ee criangula comprehensa uno maxno de duo-
bus minoribus; ac denique eribus circulis quibuscunque. Sed
majus aliquid hic agitur, ue scilicet mensurentur portiones super-
siciei sphaericae aliis quoque lineis contenta, de quod porissimum
est, ut altigneneur, qua sine absolucae quadrabiles. Videram
dudum patere ad haec adicum, sed non omnia racat agere; itaque
non actixi, donec nuper Rererendissimus dc: TIlustrissimus ABBaS
de Monce acuto, Magni Ducis Hecrurix Ablegatus ad aulam
Caelaream jussu Screnissimi Domini sui hoc mihi elegantissimum
aenixma Geometricum erpis editum, accentandum milie. Duc.
ritur