# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0588 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0588?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 564, page id 851708439:0588 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=588 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000588.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine # Lines: 79 recognised, mean confidence 0.87 # 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. 64 SECTLONTBUS 120 - 208 = 12 120- 26E 124 348. 274 330. 210 12. 228 246 294. ap. IV + + +20 120 5C 120 + 54 = 274 eic 24) ei d 2.76. 258. 240. 222. 282 300 318 204. 336 186. 354) 82. Flabemus itaque (per has, ealque 5 70) Subrentas pro quibusque Senis sradibus torus Circumterencia; Lt, consequenter, pro Sinibus rectis (qui sunE harum Subcentarum semisses) pro quibusque Fernis gradibus Semi circumteren- cix. Idque per Solutionem A. quationum Colummodo Guacraticarum: ABIque OpC Cubicarum aliarumre superiorum A quationum. Acque inter has incerponi pol- Redeamus jam, ad Inguisicionem priorem, his aliquatenus interruptam. 83. Aquatio pridem prOBOSItA 5, 7, PrO AF. cus Ouinquisectione, 5 A - 5AC AC4 R9 R99 =F: Praeter duas primarias Radices A, F.; Fres ali. aS COntinet (per 5 98, 99, Cap. praeced. ) qua relpiciune Fres alias Chordas (ab eodem pun- eto unde ducuntur A, F,) ad Fres reliquas in- Teripei Pencasoni angulos ductas. Ouas voce. muS L, NI, N. Ouacum L. Subcendit Omincan- tem auCtuM arCU A, (vel Friguincantem au- Etu aECU F.) N tubcendie Onintantem au- Etum areu F, (vel Friguintancem auctum areu A. ) M Tubrendic Biguintantem auctum utrovis arcuum A vel P; (aut Priguintantem utroris minurm.) Nam hi arcus omnes, si quintu plentur, eandem habehunt Oninctpli Subrentam F, quam habenE AECUS A, vel F, 84. F. X cribus his, S SuppOnanCE A, E, radices ACirMALIVX; CrUNEL, X N, Dexarirae; sed M Altirmacira. E contra; _ suxponantur A, E, NegacirX; erun 85. Duando Areus Simplus est duintante Minor (seu Major Duatuor duintantibus;) aut Duobus quintantibus Major, sed Minor Tribus: Subtensa Tripli major est quam Du- Ph. Contra vero: si sit Major Ono, sed Minor Duobus; aut Tribus Major, sed Minor quam Quatuor. Ouod considerane lacis obvium elt; poceltque similicer demonstrari, prout lupra tactum est casibus contimilibus; acque hic in. Fa, 993, ec. 86. EF propterea; Si A (vel F.) Sic Lubcen- Ca Simpli arcus; erit Cg - B9 = AF, (aut E9 -- bg = F F,) quanCItaS AAIPALIVA. PFO. uc cAt 6Z 87. Ex similiter, E M sC sublela Simpli (majoris Duobus quincancibus, sed minoris Fribus,) Cg - B4 = M F, eric nem Altirmarira quanticas. 264 de Tune quorlibet, per concinuam arcuum Bilectionem. quincuplati. 88. Sed LE Attir; _ t Nexarira. Nam,