# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0614
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0614?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 590, page id 851708439:0614
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=614
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000614.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine
# Lines: 78 recognised, mean confidence 0.89
# 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.

DE OBCLIOAIBUS
Ca
Vide paz. 585.
Ouadratum Subtensae graduum 135 elt (per 54) Bg = C9 F D9 + CDV Z
c.  N 2 == 2 f V2. Quod habetur addendo 2, valori jam invento (S F)
ipsiuS V 2. HIOC ClL, 2 f V2 = 3, 4F422356 ] proxime Adeoque per unicam
Excractionem Radicishujus numeri, habetur ipsa Subrensa gractuum 135. Nimi-
rum B = (V: 2 + V 2: = V 3. 41422356 + ==) 2. 84775906Z proxime.
Ttem (per 55) Ouadracum Subrensa graduum 45, est Bg - C 9 F D 9 -
CDV2-
T F T = V 2 = 2 = V 2. TIOC CAt, (Suberacto de 2, ralore ipsIuS V 2
jam invento,) B9 = 0. 585786433 prosime. ujusque Radix quadrarica, jam
extrahenda, est B = V: 2 - V 2: =0. 765366863 PCOXImC.
Et (per 56) Ouadratum Subrensa graduum 150, cst B9 f C9 + CD Y 3
F F F F V 3=-2 f V 3. Ouod habecur addendo 2, valori ipsus V 3 jam
invento. Hoc est, B9 = = 3. 73205081 =. Cujus Racix (jam excrahenda) est
B = Y: 2 fY3: =2. 93185165 + proxime.
Vel Sic. Duoniam V: 2 + Y 3: =
Z. (Ouod patebie vel hunc numerum
quadrando, vel extrahendo Radicem Binomii 2 L V Z.) Elabetur autem jam ante
ralor iplius V 2 = F. 47422356 +: PC (per extractionem unam jam Faciendam)
V6 = 2. 44948974 +. (Oux etiam haberi porelt mulciplicando valores Y 2e
Y 3 jam cognOS; quia V 2X V 3 = Y 6.) ErBO V6 + Y 2 = 3. 8637,0330 +.
Fujusque Semictis est Y5 F Y 2 = +. 93+85265 +, ut prius.
Sic (per 57) Ouadratum Subtentae graduum 30, est B9. f Cg - CDV
= 2 = V 3 = =0. 26794919 -. Ouod habetur sola subductio.
ne iptius V 3, jam inventa, ex numero 2. Cujus radix quadratiea (jam exrrahenda)
est quaelica lubrensa B = V: 2 = Y 3: =0. 51763809 proxime.
Vel lic, (ablque nova Radieis extractione, ) Duoniam Y: 2 - Y 3: -16- 12
coenicique jam Tunt ralores V6 _ V 2: Hlabetur (Tola Subductione) 16 = V2
= 2. 03527628 proxime; hujusque semistis
Prius.
Ec pariter in reliquis, (sumpris propotitionibus seu sectionibus eo ordine quo
trabeneur capire praecedence,) non nili una Radicis Extractione opus erie (aurne
hac quidem) pro exguirendis eo ordine subrensis lingulis.
Ouibus quidem lutcentis sic habiris, carum Semistes sunc sinus Recti pro dimi.
diis Accubus Angulitre. Verbi graciam
AFCUS.
Gractus. 90
220
60
Subcenla.
T. 42421356 7
F. 73205081-
F. 00000000
135 2. 84775906
45 . 76536687-
SinuS.
0. 70710678 +
0. 86602540 3
0. 50000000
0. 92387953
0. 3826834. 3
150 X. 93165165 + 0. 96592582 3
0. 25887904 3
ATCUS.
45 Gradus.
50
30
67
22
75
25
Et simili modo procedenau et PtO delignandis (per Radices Surd3s) subten-
sis Arcuum acthuc minorum; Per concinuam Angulorum Bifectionem; Oua.
rum Semilles tunc Sinus Arcuum dimidiorum.
Sed, pro delionando Integro Canonc Subtentarum de Sinuum; pro singulis
Gracibus, de graduum Sexagelimis seu Minucis primis: Opus adhuC CFiC ( PratEK
Radicum harum Ouadrariearum Lixractionem in Numeris) duabus Prifectionibus
arcuum, ex una unsuectone.
Cum enim procellus huc ulque tracticus, non ultra se extendic quam ad Sub.
rentas Sesqui GracltuII, a de Sinus Vocrancum, seu minutoruI 45 = 3Y325:
Follumus hine (duabus crisectionibus, et ua ouinguilectione) perrenire ad Si-
num rectum unius Mues Pu. Sed non, solis Bisectionibus, ee operationibus
inde deduetis.
Illis aurem opetaltois He Delactis; reliduum operis pertCIETUT, OBC5 O, 10,
Capicis
O O. 51763609