# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0707 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0707?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 683, page id 851708439:0707 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=707 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000707.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 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. Corpus part OM partim CC repraesentans, Creometrice consideratum. Sectimes CONO- CVNL. B Ectangulo CDBA. Fig. T. ad rectos angulos crixatur Circuli Oua- drans COD; junctaque A complearur Triangulum rectangulum COA. Scipponantur item a lingulis punctis Peripherix Guadrantalis DQ, ad respectira puncta rectae B A, in planis Triangulo CO A Parailelis, ductae rectae Sa, Curram superticiem complenres DS. ( A a B. I Solidum lic terminatum, vocamus, Cono cuneum. iolsso 2. A quadrancali Conon in hoc dittert; Ouod, quae hie est linea recta AB, est illic Punctum unicum: Propter rectas omnes, ab S ductas, in A puncto verticis COCHNLCS. A Cuneo aurem, inhoc distert; Ouod, qui hic est circuti Ouacrans C. OD, etE illic Rectangulum Parallelogrammum. 4. A quadrancali Cylindro, dittere; Quod, quae hic cstrecta Linca AB, est issic Circuli Ouadrans, aequalis de paralsela ip(i C OD. 5. Solidum hoc, Planis in rario sicu potiris, lectum; extribebit, in curra Su- perticie DO AB, rarias masna diverlirare Lincarum tormas. lexempli gratia. 6. Primo. Si secetur Plano RS a, Parallelo ip(i C. 9 A triangulo; linea S a exit (per constructionem) Recta. Adeoque, Hyporenusa crianguli rectanguli S R a. 7. Ecu consequenter; Cono- cuncus hic, est aequalis Semulti quadrantalis Cylin- dri ejuldem Balis ec Alticudinis. Nam lingula Friansyla SR a in Cono cuneo sunc dimidia Rectansulorum respectire tumpiorum ip Cytincro; adeoque porum eorius dimidium. 8. Magnicudines inibi concenras, ego sic per Species delixno, CS =CD = R. CR ==C. RS =5 = V: R LC Ra == C A = A. 1 C 17iil.L. CellASi c 8. 2 5a = V: A + 5. = V: 2 + R L 0. 9. Faec Triangula (Planis aequaliter invicem distiris Facta,) projecta in Pla- num C O A, cui parallela Cunt; comparebunt, ut in Projectione prima, Fis. 16. Ouxe sic delineatur. Deseribatur Friangulum AC C, limite e xquale illi in 50. lico. e C. OD circuli Duactrans. Diridatur C D in quortibet parres aequales in punctis R. Ad quorum lingula, ductis Ordinaris RS; his aequales sumantur, in rectque CO, rectae C su RS. Juncti(que AS, Friansula S R A vel sC A in hoc Pla. no, reoraelentant Friangula S R a in Solido. 20 Si siovonacur Solidum deortum continuari, intra Ouadrantalem Balin, eti- am Frianoula smilicer continuanda eruns. Paricerque, Si luxponatur Turlum con- cinuari, (Dost decullationem in AB,) ut tir in Conis opposiis. EX. Magnicudines in hac Projectione, lic detigno in Speciebus, RFFFZ