# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0461
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0461?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 437, page id 851708439:0461
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=461
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000461.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 76 lines, status machine
# Lines: 76 recognised, mean confidence 0.80
# 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.

CaP. C.
A L G F B R A.
Frog. TF 0.7853982. (lacicudinis arcus grad. 45.) ad 0. 8823736: Sic grad.
45 in Aquatore, ad diltantiam inde Paralleli Gract, 453 in charta Nautie
In calibus rero ubi Miulciplicationes occurrunt non tam tacile veragendae; J0
Sarichmorum ope poterunt expedicius inveniri Pocestatum Logaritimi; iique
Pabellae ope) in numeros naturales conversi, diridendi erunt.
Sic pro Latuucine sract. 20. POliio R = T. Sinus erir 5 =. 3420202. Fujus
LOBarIChmUIS, 2. 53405+5: Flujus duplus T. 068+030, cst Logarichmus quadrari
52. Lujusque concinua additione (P. Ocarichmo iptius S,) habentur Losarictmi
pocestatum 5, 53, 5, dec. Ouigue Loxariitmis hris respondent numeri nacurales,
diridendi CxUNE PeT (7 3, 5, 7 eC.
Dirisores. Losarichmi. Dumeri.
E) 5 7. 5340525. 3420202
3) S3
S
S
2: 6021545
5. 6702575
v400088.
. 004680F +
4. 7383605.0005475 -
5) 53 5. 8064635. 000064. F+
TZ) S 6. 8745665,0000075 -
T3) 515 7. 9426695, 0000009-
Duorientes.
C. 3420202
C. 0233363 -
l. 0009360 +
(. 0000782+
(. 0000071+
l. 0000007.
l. 9000001 L
3563786
Vrisitur 0. 3400669 (lacicudinis arcus gract. 20.) ad 0.3563786: Sic grac. 20.
in Aquatore, ad dillanciam inde (in Charca Praurica) paralleli graduum 20.
Ad alteram quaestionem quod spectat, dc B D = 2 +
2
2
q..l2
(ubi numeri +, 2,6, 24, F20, _c. Eune concinua muleixlicatione numerorum , 2.
3, 4, 5, ecc.) Ouxe est D. Nerotoni Proxolirio. Hoc etto exemplum;
POnamuS a = 10, b ==8, 2 = 16. Tum erit
2 a b) 2 (= 0. 2
6a2 B3) 2 (= 0, 0733333 
24 a b2) 2 (= 0, 0006667-
120 at B5) 25 (== 0.0000267.
2.
2.) 0. 4
16)0. 08
24)0. 016
720)0, 0032
(0. 8000267
720n B) 2 (==0. 0000009  720)0, 00064 (0. 0000009.
BD = 2. 2 240276
BD = 2. 2140276
Ouae quidem (prouc numeri hic ponunclé) sie Pacile compuientur. Duoniam
2 == 26, 8 b =8; erir
e (Crgeer
8 = 2. Hujusque Oyactrata, Cubi, et sequentes
vocestateo, (Hoc ett, 4. 8, 26, dec. ) cune . 
5
 an ai a dic. hoc Cl, vec 2, 10, 100, 200B, dc) sume . ab abo gollc. Dua
porco per +, 2, 6, 24, ec. divisa; exhibent qualica membra, quocum nesrexacum
aquatur quaelna recta BD.
Si autem dati numeri a, b, 2, mminus commode Contineane: plila, a = 13. B  . 7
E +F: poteri mulciplicaresi caedium, losatiitmorum ope lerari; sie ninirum
Procedendo.
A FoParichmo numeri 2, Tubtrahatur L. ogarichmus numeri b: acque cum con-
cinue procedatur; Addendo semper primum hunc Reliduum PoBarichmum, e
Suberatiendo (Luo ordine) Posarictimos nUeTOruM 2 a, 3 a, 4 a, ec. Numeri
que Reliduis L opacitmis jespoydenies, tunt miembca qualsicum tiexiexacum con
irvencia.
(0. 07333337
(0. 0006667-
L.054