# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851708439:0888
# Permalink to this reading: https://leibnizlegible.com/page/851708439:0888?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 864, page id 851708439:0888
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=888
# Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000888.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
# 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.

864
IRLGONOMETRTA PLANA.
Codiais Tublcetn Marum semisses seu Sinus, diriau Laa 1 Palles 100
_c. adjectis quocet eitis; Suod reddic calentum mulo Lacittore pel aelto.
nes Decimales lelo Sexasctimalium inde orcas, de ex eo quoa eritatur Diritio, s
Racius sic primus in Reguta Zrium cerminus; vel mulciplicacio, E lic secundus vel
Tertius.
pernico. Calculus Sinuum de Lansencium cradicur d Rbesico, Clavio, Pitisco, Ces-
brando, Cavallerio et Snellio: nituirum en fere quae sequicur mechodo.
Modus calculandi Subcensas traditur d Pcolemaeo Reciomontano RheticO, de C0-
9. 
2. Daco Areus Sinu AE, invenire Co Finum H A.
EAg = AFG F FRg. ErBOV: F Ag- AFg: =FF = HI A. 1. C. V: R9
2. Daco Arcus Sinu A C, invenire B N Sinum dimidii AFCUS.
HTabecE PE (per Y,) adeoque BB. Tum V: AF g + F. Bg: = AB. _ ; AB
BN. 1. C. EV: 59 + V g: =-53 ArC.
3. Daco Accus Sinu BH, inreaire A F. Sinum dupli AreUS.
HabetuIE (DeC +) Co sinus FN, dc cum a F BNHC ZA ABF, eric FB. FN::
AB. A F. 1. C, R. 2. :: 25. S accus dupli.
4. Dacis SinibuS BO, x P, duorum Arcuum BB, x B, invenire xe Sinum Summa
Arcuum.
Habeneur (per E) CO sinuS FO, FP. Sed FB. FP:: BO. Pr. DC ( propter
AYEXZAFOFZANDFZAOBF) FBFO: xP. xy. Ereo cognolcencur Pi
Xy. ded Pr + x y = x P. h. C. Si denur C, C, SinuS Z Arcuum, et eorum C0 sinuS
F, 3: Sinus summx areuum eric =
CrncF
.: Paricer Sinus ditterenciae Accuum erie
5. Sit a L areus 30 praduum, de a B quilibur areus = aY, ee ab = aB; du.
eancur Sinus Bco, BK, Bd de chorda bB, de Raciusa F secans BB in e, ee bK in f.
ErBO L BbC = LBFe = L. L. F a = 30. FrBOBC = : bB = eB. ErGO 38b9 =
bcq. EreosBXY3 =b0; e Ba + eBX V 3 =- bd, hioc M, SInUS arCUS InOTIS
30 adduo linu detectus ducto in V3 (nempe 1. 732050807) cL aequalis SinuI
areus cancum 30 gradus superancis, quancum alcer detieie. Errso s invenci fuerine
Sinus usque ae 303, dabuncur reliqui ulque ad 60 per addicionem ee musciplica,
tionem in V3.
6. Propter ch = b8, eric rB F b8 =K B, host est, Sinus areus minoris 60BFa.
dibus, addico linu defectus, tacit sinum arcuscancundem 5o pradus excedencis.
Ereo