# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0303
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0303?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 279, page id 851708439:0303
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=303
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000303.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.84
# 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.

pan1
cncus
Cap. L. XV.
A l le l  l 11.
quorum iterata cditione, anno 2659, Tubjunsi Pa5. 235, ex meis unum, quod
dit le d me accepisse anre tres annos, (intellise, antequam ea seripsit, sed plures
aurequam ea estent eypis edica,) in Epistola nimirum ad illum scripia P eb. 25, 2652
(Scilo Anglixe) responsoria ad suam Jan. 6. (Scilo noro) scripram. Ad hunc
lensum:
D R ODL E N A.
Deso cireulo (cujus Centrum C Racus A; Punctoque A ubivis in eodem
plano assienato (sive intra sive extra datum circulum,) per quod transeat recta
circumferentiam secans in B, D: Invenire punctum F. (aut etiam talia quotli-
vet,) per quod si transeat recta secans eircumferentiam illam in L, M: Quadra-
rum distantiae AF, aequale erit vel summa vel differentia Rectaneulorum LaF.M,
HIOC Ct, D A F == L P EMI F E BAD.
649.
CONSFRVCF1O.
praectabunE quaelCu.
Si Diametro AC, describatur circumterentia circuli AFC, ejusque LanBENS PAF
perinque continuata intinite: Singula hujus Circumferentix e Pangeniis puncta
Nempe; Si A Sc intra circulum datum; _ P in
T. AF. C, circumterentia ducta,
(OLEM = LBAD.
2. F A C, tangente intra 7 circulum LTuMD AF = Z C BAD = ∞L. FM.
3. FF, Cx F, cangente extra S datum;
Si A sic extra circulum datum; ee F. in
P AF, tangente descripta,
CGBAD FGL BM.
5. F AC, CIrCUISCTENITA exIa Z circulum L cuM B A F. = Z = BAB = ∞ L. F. M
6. FCC, circumterentia intra S datuu
GBAD + GL, EM.
(∞L EM = = BAD