# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0852
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0852?run=74
# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 828, page id 851708439:0852
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=852
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000852.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

 O M M F R C I U 1
Vides, Vir Insignistime, quanca cecum ucar libertate, FavOTC NIXUS TUO, qui
Hanc permictar. Ne tamen libereacem videar in liceneiam nimiam pervertere, ut
cerius imporcunus elle delino, ubi me tuero protelluo,
Oxonii, MarL. 19.
Tlustrissime Domine,
Flumiltime Z ibi obsequencissimum,
acque observancissimum Zui
JOTL WALLIS.
1050 oello
LLMISLIa.
R P IS FOL A XXX
D. Vicccomitis Brouneker at D. Joh. W allis.
vich presenced 10 you. l’imasle fEpon che Lishe ot chem) chac MI. Frenicle
hach by hum a larse labie et evets (Squares, Cubes, dec.) wich cheir ali-
quoc ParIS in Primes; istrieh maties him ready tor any luch solurion, by almolt
a bale pectio decorcne Wd ie Method son lacels incimaced, tor che lolurion
et ele Problems, urtrich is univertallr applicable co all ot che likC NACITC. My
rrice co your Lady, and lec chis contirm unco you my beins
5A3
Tour mest faichsul friendu
and humole servant
E P IS FOL A XXXI.
D. de Fienicle ad D. Kenetmum Dieby.
BROONCKFR.
R OTunc quas d me postulalti, Eques Honoracistime, Problemaris Claristimi
Viri D. Nallisis Toluriones quaeclam, non omnes quidem quxe mihi Occurre.
rune, cum cam mulia sinc ue eas scribere non valuerim, cum enim ad paueos nu-
meros unde iptas decerperem, brevitatis caula, reducendum else caleulum aequum
esle duxerim nihilominus ex his paucis, eot d LaM VarIAS exUrGerE COmperI UE
terminum quendam eis ponere coactus tuerim, quandoquidem ex prioribus Tolu-
tionibus noras semper e varias sine modo provenire animadrerci; unde tactum
M, ut ipsas ordinc a me propolito extribere cum cuco non pocuerim, quod Deo
jurance quamprimum ticc Fale aucem crac Problema; Invenire duos quadratos
quorum sineuli guneti cunetis sins parsibus aliquoris conficiant eandem summant.
D1
a
PHese paperS (F p. 34. J beins sent me by Doctor ScarbroueB, a day lince, are tiere-
6 April. 1658.
Facium 32. Oceruncur alii similes.
DEOBIEMALE inerIE Si ulcipLICES quacTAE ACMMICAHEML. ACtamen 1PIC W allisiuS COS
recusare non poreru: cum ad problema quodcdiu L. PerMat, Cica Me
binis cubis compoticum, qui in duos alios cubos relor beat; Wt c 1720, qui
MmIHCPAS ceum ex duobus cubis +  2728 SIE COnTalUS, I duos tamen alios cubos
72) e 2000 relolvitur; cum, inguam, ad Toluctone Ms ac problematis
mulerplioes cancum acceptorum numerorum cradiderie.
Hlac isicur regula Pacillime D. N allisii problema TOlvetur. DucantUE quadraLI
26 e 25 in quemlibor alium quadracum imparem, per 5 non divilibilem, et exilt-
Senc ali duo quadrari qualtion lacistacientes. Sic quacrati nUmerOTUM (2 e 15:
ec 35: 36, 45: 44, 55: 52, 65, c. rem praeCtanE. Si enin GB Gactra
torum raq ec 225, parcibus suis jungancur, conticiene summam 403. Quactrati
784, e 2225, Faciune 1767. Duadraci 1296 8 2025, taciune Cinguli cum luis
Parcibus 375r. Fc Sic de aliis. Sed haec Tolurio est indirna Matlichac, Hec la-
lis cst quae proponi debene si hoc telle aceislalue. L dilallett e Hllu
Ec exemplum praebet quadracorum 16 8 25, quorum linguli juncti luis parcibus
Ouaeruneur igicur bini cancum alii quadrati, ee cerre nullum necocium in hoc
luc
uer
nuI
dic
le