# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0215 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0215?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 209, page id 845634801:0215 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=215 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000215.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 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. te ano.t, od POZESF A TVM RESOLVTIONE. primi, et Coetheienee plano necare. Lareris vero ejusdem se cundr quaatacue in lolidum huberiplolacerisprimi, e coetticience plano. Lateris demque ejuldem lecundi cubus in iplum coefficiens planum. quod quidem est subcabicum. bico, X eriplolacerisjam eliciri. Fc plano. planum lub eodem d rriplo quadraro laceris Praedicti. IIlud sedem occupans Colidorum, hoc plano. planorum, post iplum coesticiens Planum, incer puncta cubica de super adAXa. Ecelicien dorum LaLCTMM CHOT GATOCIM QNCMMCI IIIPTEI COCMTCICH pTan. draca in Colidum sub coeiticiente plano e rriplo laceris jam eliciri. Longirudines ve- toram in plano planum sub coesticiente eodem, e criplo laceris jam eliciri quadrato, quam in iplum coësticiens plano- planum; plano. Colidis. quae inde hune, sub congrua lede, qualemrariomulciplicationis exigie, desimentibus, e iis quidem quae hunca coët- ticience plano ex luis scanloriis expletionum, Colido videlicet, de plano. plano alioquin addiciriis, comparandis cum reliquis plano- Colidis ablaririis, quae videlicer Fune rum abs coëfticience plano. plano, cum abs divisoribus reliquis in Colita purorum quadrato-cu- borum analyli, ac demum ablaciriorum excessu auterendo ex adfecto propolico quadea- co. cabo. Coetficiens denique urravis magnicudo, una cum superioribus divisoribus reliquis. in succedencia loca suo ordine derehetur, cum interiores quoque divilores morebun- cur reliqui. Vein paradigmate. Paradiema analyseos quadrato ud cufecti sub latere adjerma- te, e sub cubo negate. TEductio lateris singularis primi. subcubicum. ExadFecto igicur hujulitsod quaclaco. cubo, uc cruantur latera, le des singulatt qua- dearo. cuborum constimentur Colica methodo, a punctis lubrus collocaris deBionandx. Ex quor numeralue le des quadraco-cuborum, punctave, corinprimis se deslarerum limplicium per singulas fguras constitueneur deluper. Loldeinde ledes cuborum, per cernas videlicet alcernas, et in ultima quidem simpetent de coetticiens plano planum, quod quidem sublarerale est, consister. In ulcima vero cuborum coëfticiens planum, Lacera non secus elicientur, quam in analy si quadrato cudt put, God ipta Coet- Ecienres divisoribus addune, vel minuune. Addir coetticiens sub lacere adtirmate, aufert coesticiens sub cubo negare: sicurietam autetes Loreu tub plano coetticience subcu- Coefficiens planum Cdessiciens plato Platu uaurato vlbuo mstotao 1sob Deru. ablatisiau Planc acticium Excessus ablatitiorum. Reliquum resolvends adselb a drato. cubr. Ouadrato. is prim A lacere primo in plano. punu ficiens. a cubo lateris primi in coesss pla- 5oes. IIFda