# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0396
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0396?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 372, page id 851708439:0396
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=396
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000396.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 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.

LE G E B R A.
Cap. XC II
mino inter x de Z inveniendo:) Ile directe agcredicur iplam V: R R = CC: EX.
cratiendo (in speciebus) Radicem Ouacraticam ipsius R R -56. Famque in
renit,
V: RR = cc: = R - ECC 20
7c6
10
2Y 812
2R 8N 26B Y28N 256 N 2024 sei 
Ouxe constat ex serie continue. proportionalium (cujus communis Mulciplicator est
Rsi) ducta (respective) in seriem numerorum continue emergentium ex con.
cinua Mulciplicatione hie subjectam
 F2
8 4 70 2 123 dec.
Indeque cxo pariter concludo F. P (= CB - DF) =
508 7C10 27C 12
2R BR 16N  128_ 256X 2024 A1 ec.
EF CONSEGLEHLEI; Fxponendo c LuCCCsIre pEr S, F, 2, 3, dec. quarum maxima
sic CD =C: ABCrCgatum omnium V: R R = cC: Portionem BCDF. complenti
um; erie per meam mechodum Intinitorum,
m R. = ZMCC TM C TMC 5M C mC
22 m C 12
3XZR SIBR ZHISR ONIZBRI AIHSSR T3X1O24 RI dc:
Nam primi omnes cermini R sunc leries Aiqualium, qui icaque sune coridem
R, Seu m R: Omnes secumci , series Ouactracorum, qui ilaque lune ) coridem
mCC
maximo aequalium; hoc est,
3X2 k
Omnes terrii, series Biquacdiatorim, adeoque
3 coridem aequalium maximo; hoc est-mCa
terpretando e successire per 0, 2, 2, 3, c. erit ce feries Ouadratorum; e, Biqua-
dratorum; c Sexranorum, Sec. Et singulorum mulciplicatio auc dirisio per ean-
dem magnicudinem, seu seriem aequalium; ut 2R, 8 R3, timilemre; PrOPOrtO.
REM NON IIMUTaE.
HOc est; POlta SemidiametrO TraNIVerta C A = R = F (quo R ejusque POL.
Ctates omnes curo omitrantur;) et distantia d CenrO CD = C = m; habebitur,
C = 3C3 = ad C.3 = rin C = 1i3 C - 26i5 C. 1 = 1 2 C. _C.
Oux Series, in intinicum concinuata, aequabie Planum BCDE, POsico Duacrato
AC in Circulo, ee Paralleloerammo AC B in FIlipII, = +.
Adeoque Prilineum F. P B =
SC F a5C3 + in C + 13, C3 + 102C + il C.13 c.
Ft speciatim, Pro loto Ouadranie; Propier C. = _ = L, unde craveseunt c
ejusque omnes porestates: OTT, ad
2 - 3 = 40 = 12 13. = 20t5 = 1ii dc.
Sic est, in Circulo, Ouadratum Racdti ad Ouacrancem Circuli; adeoque Ouadra.
cum Diametri ad Circulum: EF, in ElipE, paralleloerammum quadrami eireum.
Teriprum, ad Ouadrancem; e Ellipl circumteriprum, ad F.liptin.
Ec, ad trilineum ABP, uE F ad
5 F ad F in F 11c F 3016 F iniiz _c.