# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0047 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0047?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 31, page id 85138403X:0047 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=47 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000047.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.84 # 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. DECTCLOTDL. do per R ec muleiplicando per ZP,) erunc =R2 D F ~ PD un cum omnibus circulis radiorum 22. (aequalibus incerrallis sumpro- rum,) hoc est, una cum Tolido ex convertione crilinei rellicuri C A F A∞. 7. circa C F, hoc eltuna cum 45 HeMPC ZK2P + P. + A aequalia Colido ex convertione Pemiercloidis circa CF: cujus icaq; racio ad sphaeram circuli geniToiis (ex con- vertione semicirculi circa eandem rectam C L Factam) eltuF Z X2 P + 10 P3+ A3 ad Z A2 P. 83. Verum endem ratio suxerius rexerta eAt (5 78) uc 9 A L 2OR = P ad 4 A= P, hoc elt (dividendo utrinque per 6,) uC Z A Y 3 R = P ad Z R = P: QUAI IAI rCDCTIUS (582) ut Z K 2 P+ .t De+ A 2aZkD. SunEISITUI Z 1 + E A 2P = Z RE P+ C p) A3. Adeoque (subductis nerinque aqualibus) = A2 + R 2. F eo P. HlOc est, e 3 = Z P, = 2R = P. (HOc eHt A F. in ALiq- C Fg. fig. T vel 8.) Habemus ieaque magnirudinem solidi ex convectione Trilinei recticuri C A F fig. 7. circa C. P, (nempe EP3 = 2 R P;) Adeoque iphusracionem ad Spheram circuli Senicoris (ho: eAt, dc = W= P,) nemPC UC 2. D ~ = 2 R= 2d ZH, live ut ZP= = 22 R = ad 4 R E, hoc est, uC 3 A F 9 - 3 C F9 ad CF 9. Acque eadem estracio momenei illius Frilinei, ad mo- mencum Penicirculi, respectu C F rectae EC urique illud SRP 2 =2 R; (momencumaurem Semicirculi Z R 3:) Adeoque (di- videndo per magnicudinem Trilinei Z R P) dictabic centrum gra- vicatis Trilinei ab F C, = P = 7 e R : _ dBB, = R. Dictar autem (per Cuperius Fraclita) ab A F, Z R: Cum enim momen- cum Trilinei ad monenrum Semicirculi (respectu A F rectX) (IE uc 3 dd 2, e mogricudo ad insenicudinem vt 2 ad F5 CriE prO- Pter Z) Z (3 diltanria ad distanciam uc 3 ad 4. Distancia aurem ceneri gravicacis lemicirculi, est R; Ergo diltancia centri gra- vicatis Trilinei ab A F eA Z R.) 84. Cum igItuT Z R? P aequetur Eptaerae circuli genitoris; erie Per 582) 3R DF P3 + A, hoc eAt, Z R. P+, F P3 + = P3 2 R= P; hoc eA 2 P3 = = R 4 micrcloidis circa rectam C P. aequale solido ex conversione Se- 85: V el eriam (per 578,) cum ejuldem solidi ad Spheram ratIO, HC, UE 9 +1ORE P ad 4R~ P, hoc est, uE Z A + 3 R= P ad. Ek=P; Cique Z.= P aequale Sphxra: eric etiam L + 3 R P,. AC