# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0723 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0723?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 699, page id 851708439:0723 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=723 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000723.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine # Lines: 34 recognised, mean confidence 0.92 # 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. Det C O N O - C, W N F 1 5. letis rectas eo aequales Ordinatis illius Elliplis in Solido FIS. XE, cujus AXiS CIEnd 85. Tum diridatur Pn in rOF aequales parres in punctis co, quot sunt partes in- aquales in a L. EE a Sinsulis punctis co, ducantur rectae ad n aut L respectire. HX re- cta abscindene in respectiris parallelis 85, (primam in prima, secundam in secun. da, e sic deinceps; numerando puncta co ab E, ec parallelas ab ;) rectas 50 aequa les quasitis Ordinatis in Curra propolita. 86. Denique. Ducatur recta S d F19. 24, 25, aequalis ilsi in Solido, gux elL pro- POLiX Currae diameter. Ec diridatur, in punctiss, in cocidem aequales partes, quot tune inaequales in n F. Et ad lingula haec puncta p, applicentur ad angulos rectos rectae 50, aequales illis super rectam a L. constituris, (ex eodem vel concrariis 12. ceribus iplius sd, prouctime illae ad a L.) Ft, per punctas, ducatur (ductu re- sulari) Curra qua ab illis indicatur. P ltque haec Curra, cadem ipla quae prodi- ret expolici Solidi sectione, a Plano quod rectae sd insiltat ad rectos angulos Re. Etangito ADBB. 87. IdCM DErFICCTEEUE, OpC unIIS TrIanGIIORM AMIF. F15. 13. Parallelis inibi bis sumpris (propter ealdem in urroque Guadrante Ordinacus;) e dividendo F.n in toridem parres quot prius. 88. Si Batis ASD sic FMiplis; proceltus idem erit ac pro Circulo. Si autem Lic Parabola, Fyperbolas aliare Curra: Rectan L, qua jam diriditur ut L inca OF. dinacarum in Circulo aequalibus intersticiis sumprarum; cum dividenda erit ut li nea ordimatarum limiliter Cumptarum in ca Parabola, Hyperbola, aliave Cuira; CujuS AXIS Sic A D. Religuulque procestis exiona mutatione pertieietur. 80. In toro aurem tactenus Progrectu supponimus Paralle logrammum ABDC esse Rectansulum; _ Ouadrantem CD O, cidem insiltere ad angulos rectos; et Priansula AC, aRS, urisque planis illis recta; adeoque expolicum Solidum, Frectum este, non Scalenum: Planumque quo Tolidum hoc rectos eidem Parallelogrammo AB D C insiltere. Sin aliquod eorum qua luppo. nunus Rectangula, toret Obliquangulum; Sectiones inde prodeuntes, torent ali- quatenus ab his diversa; pariter ac Sectiones Coni Scaleni, aur Lrecti sectiones obliquae, divertae sunt a Rectis Sectionibus Coni Recti. Sec dehis Casibus nolo ultra procedere: Contencus Sectiones Perpendiculares Frecti Solidi consideralte.