# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068078:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068078:0004?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 6 # Folio 2v, page id 00068078:0004 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068078&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068078/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 93 lines, status machine # Lines: 93 recognised, mean confidence 0.75 # 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. Demonttr. p Siquidem (conttr.) ubique ett 2m: BC = A9: Rg = L: LM = AH. AE. est etiam AE = BC. AH: 2m m A0. 93 et circulum AHDZA exigentem nh= Ad X8. 2. Pariter cum sit (conr.) non modo BC: n BC deme. erut FP Nas 127 bra at CAx.XX) E (junta nomina art. 2. quam 2nZrad- xo in V ad gh) px Nomi Ocath r. rax: 2n Sr Ex) Mr+a) Cr XI: u 2m S(ErX.) d (irr +ar - YX - ax): Cm H CirX- x xirar 4. V tia x r X idr Entera rera- ex 2rx par- ra ad (art. 2. dante f - r + a)= Zri Hag- ida. = 2rr + ar - fX, dx : 2m HCIYX - XX) 23..q num. 1. 2.) Curvae ADF elementuum Dp (Yop 1S) amrexux. (BC. AH: 2m): EN = A0. AH: 2m oc, _ elementum ejut (ducta uV perpendiculari m 2a V2rx - Xx 3. 72.g 6 )= dx (bbrr+ q t AaB- frrX- 2 farX + H∞X): 2m + CErX - XX) L da hbn + 4nt + 4ar + aarr- 4 frex 2 ferx + (propter bb + 4 vr. + 4ar t aa = ce, et 2mrera xx = dx CCYY- 2SgrXF A∞)C: 2m YErX -) Partic. 2) = HBh : m a m cujus integrales et Conica laperficiei quaetitae portio AHB = mAB; & Sic de caeterit ejusdem amvira-ux seu qualium summatio. superficiei portionibut hac ratione sumgtit: Oudé patet integram haue Coui obliqui superficiem ette = 2m. APF. 9. Z. D. V. Fnhac obliquangulae conicae saperficiei mentura flait ultro vulgarit ea quae rectangulae gribuitur. naus si Couut AHDZAD fieret rechis, il nimirum cujut altitudo BC converta in B0 hac ratione factau ipti aequaleur, & ugvvaleu ad Coui m APF ordinatis EP Cart. 3. num. 2.)=R Tac evadentibute Eunda N =Xx interim n duu absertae manerent eadeu AE (art. 2 num. 1.) = DCA, (grva haec APF mutaretur BC AH : 21 id m etau alo foret AEqu +EHqu meAN = mx AD (arc. 3. num. 3.) = AMB. Aequi AN = HX Y (art. 3. num. 1. 2.)= (Sequidem hic ohu +oru H. BH. 2 (BC ost B) qu + (AO. An) qu): Em = AH SC BC qu + A0 gu): 2m ntDCT ilio AH. Ergo hoc in eodeur catu exit At = ANB, sive Cui recti converae superficici porsio AB aequalit ecr m em exit producto ex divudio Latere DH zier respondenteu badeos aveuu AH: Coudé toto glanum AHDZA, indeqan. pH: hujusmodo ui superficiet convena pariter erit aequalit producto ex dividio Laure per 2 tocunq babeos aubitum; quod Geeucetrit alia ratione jaui pridem notum ett. i ex obliquangulae eleuento HBh (art. 2.) + ax 1ceor-2f9rX +ffax, in quo sunt (ars. 2)c = AB, &, f= Oc. 2Y2ran vel iis simmando c seu c = BH _ f = 9. iltud EF u. j.2 ACum. d BN. d) (Fay isCr i 2V2 va ex Bu Xrax X1F E terrn BXBY BHaHL. atque inteqraudolerit (ut mon) rectangulae superfinei dd0(H. CAV: HG) = BH. Hb: 28 3 1C DH: 2) BH. AH: 2 conicae portio ABH = DNXA ZC. ut superiut. Porro hit taudiu non iuvovor nisi ne magis pateat quanta b affinitat inter praecedenteum (avt. 3.) Conicae superficiei obliquongulae menturam et rectangulaer vulgarem. V. Quod Spoctat Curvam ADF quae (art. 3.) obliquangula illiut superficin conicae meuturaum praebet,