# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0549 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0549?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 525, page id 851708439:0549 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=549 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000549.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 98 lines, status machine # Lines: 98 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. Cap. IV. PARTES ALIOUOFF. (non enim alibi habebitur.) Sec sic inducetur quaxtUS 67; Crarque 1. 263 jam ante Sexotitus. Si ex O. FOT; tum inducetur 263 (7, 7, 13, 209 23 quarta et quinta vice; nec ta- 409 3, 7 209, 209 men sexies tabebitur. Si ex 9. 4 aut5: urerris HOrIM 29 13, 67 (PrXTEE ternatim POlitOS) relin- 37 33 7, 67 queret adhuc 7 quarca vice poli 439 3, 32, 37, 67 cum; (qui non cubum, sed sepeu- 29E 7, 233 13, 3F plum cubi inde extiberet, Ei talis GuarerEtT:) dcest icaque 7 bis adhue sumendus, quo com- pleatur CubuS. 263 Sednemter hOrum Cx 17. 67, aUE TOF, (Mpote jam reje. 163 3,3, 29, 67 ctis;) Dec ex D. 163, (ut qui introduceret quartum 67, eAtque ante rejectus.) Adeoque (Li ommino) Cx O. 2_ O. TY. Sed neque lic; quia tum (PrOPtCE 29) inducendi eAlenE O. 7 e 163; indeque jam habebitur 67 quarta vice. 8. 3. Sunco denique 1. 263 et 9. 438; unce habeatur 67 adhuc bis. Sed tum (PrOPtEE D jam comparentem) simul altii- mendi erunt . 7, e 9. TF. Er (propter 3 jam quater achi. hicuum) altumendi eAent 9. 67 et . 37 jam rejectus. Hxc isitur non succedunt. 1. Videndum ergo, num (omissis C. 3, e 29) Tup. Plendus sc b15 23 (qui in sdelideracur) ex D. FOT (0l0. Cumque sic ineroducitur 32 semet; idem clt bis pOrro in- ducends. Iaque vel ex 2. 439; C ubi bis habetur:) vel (ab (que hoc) aliunde. Vide n V. v. Si allumatur 1. 439: tum, Dropter 67 ibi compa. rentem, idem elt bis porro inducendus. Sed non Cx . 29, (ue qui jam rejicitur, ee qui introduceret quartum 13;) ErgO, ex d. 37, e 163. Hlic aurem comparet 19, qui itaque (quo tripletur) (i- mul incroducit 1. 7, e TT. Tanque habecur 2 Sepries; adeoque bis porro habendus exit. Et habetur 3 quinquies, adeoque semel porro haben- dus exit, SuppICBILIE AULEM UTETqNO CX 9. 67; aIquC ex hoc solo, quia non aliunde habebitur 3. 409 430 Habetur aucem 3F jam quarra vice; adeoque bis porro adhibendus. Ouod Fiet Cx G. 4. e 2. 5. Adeoque jam Cubum habemus qualis requiritur. Cujus componentes TunEZ nO. viesu 3 et 3E lexies; 13, 79, 67, ec 109, Ter. Quadratus autem unde oritur, est GNadTATIS MIMETI A. Z5X 7XTLX37 X67XT63ZF9T X263X 439X499. Ouacraci aurem reliqui, qui hanc compolicio. nem non ingrediuneur, sune Ouadrari numerorum 2, 3, 29. N. Ec quidem Si ex his (absque illis) sic Formari potlet alius Cubus; etiam hrie talis foret qualis desideratur. Sed 29 113,67 ee (cum hic Foret ad illum Primus,) composicus ex his duobus, tertium extribe. rec. Verum hoc tieri non porest; cum nullus numerorum Primorum his adjacen- Eium ter compareat. e. Despiciendum rectat; num, sexolico O. 430, Pottic aliunde suppleri bis 3F, qui (in c) Solitarius comparet ad Q. T9T. Maniteltum aurem est (proprer lic sepoticum O. 439.) Sexonendos ilem . 37, e 9. 263. (propter 67 in his comparentem) niti Cx D. 29 haberi postit (cum illis) TexLIIIS 67. 263]237323, 109 Verum hoc non tiet, quoniam sic introduceretur quar- 499 TIS L3, dum tamen nOn SupPetanE duo plures quo FIaNE EOF SeX. 37 Sic autem sepOFito 9. 263; seponendi pariter crunt (pro. 163 Pcer X9 ibi COmpaTenTEM) O. 3_F TT. 3, 7, 209, 109 7323, F3, 37 337367 377759, 67 29 23,6 Adeoque 43D 27 23 F3, 209 33 77 109, 200 33 313 317 67 3 2L 12, 19 400 263 737, 13, 109 499 3,7, 109, 109 29 13, 67 263 3, 7 X9, 67 439 37327 3X, 67 1F7, 19 23 7, T3, T09 337, 209, 209 23 F33 +3, 3 3732, 82,67 7. 337, 29, 67 263 263