Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 4r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.75.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 3v); this page is its right half.
The machine reads it as
- fiex (17)
- ex Aeqe 14CX
- et (9)
- es rida =rsea
- ca = br nimo
- et ex aeq. 16, fiet (18) Np bx + g
- sposito r esse integrum
- ca. br
- a()
- An autem possibile sit g esse integrum statim dijudicari facile potest,
- nam si d - e. est numer primus, necesse ess, ca br, esse vel da ea
- vel e a. si ca - br da cafiet a Da t ea + ca, r. integuo
- quod an possibide sit statim sciri potest, quia omnes nuneri (d. c. c. b. sunt dati.
- sin umporribile est, visendum an fieri possit ca - b a, sive Y a rca
- quod si hoc quoque imposi non succedit, superest, ut alterutrum, 4, vel Y, fractum esse
- necesse sit malo autem q esse fractum, et r, esse integrum, quia posito Y esse
- Numerus L. statim alea eximi, e integer reddi potest. Ponendo enim (2) s tea brt integum
- Aet (21) L e tea - brtc + trda - t rea,
- 3)
- a
- Supere s. X ex 18.) fiar br ca - br
- aC - abY
- a
- +ga N. integro. Sed id ocio munc quidem
- impossibile esse pideo, nisi et r ponatur fractus
- Redeundum ergus illuc est, ad posito Y fracto, 4. reddams interrum, ut vero eadem
- o
- operae et L, reddatur integer, ideo sopus erit ponere Y D4, fiet.
- (Eae r es + va dam ea
- ex 17
- et eqd) Lb +ba - ea F
- ctea (1)
- ca FbPa1
- et (25) N p b∞ + 5da- ea
- B pm
- sut
- a
- +
- ptq
- b
- eag. ta
- darea D Ise p mrhq - dat ea L
- se mmler
- cop + AprAP + tp + coy trd -eg + a cils ad- ca) + A ropaldatea
- t
- eeque ia pout cor b Sonc 3A, V a en suir di poste per b, sitm 2V +p. Item Coth
- Ergo tta trnctio dividi poterit per
- Cot. (() d-c 4+ p.
- 0.
- mp = da p br, Ergo 4 m, bv + da
- a
- t
- a
- a ra divisi potest prb ae non potest, si
- arq) pia
- cun potes
- V. a1p s. IHa
- , si totum Y ep potest.
- Eigo de d-e bs -a r pt. integer a Tocdor.
- 1or
- Ph F ea p L _ b bd sive p p b8 + ea.
- Anforte opus tribus literis. CY) m A im + h + f in per NB p+ 4, fier:
- imp + hp + fP, (4 mq + h9 +f9 (-da + ea) Lb.
- ∞4 +Y2 p2 + Pent mg+hq +da- ea. sive im +h p +da - ea. Ergo exdar carsu
- Sive panendo fr b8, fier:
- 3aa 1 .d n a 5X. L , fiei 2b 3h e13a
- as fb +3a -ea a
- _ Ergo Lb gh+ etr + aG (+ aC) da ( ea) A rc
- (mp + β np + B + p + Bmq + (3 n4 + (f4 = Cda + B Ca = Lb β + )ma 4)ha tas
- 1 - 5 integer
- pone -Bda + Bea a 4 Y ma = Y ha 4 Y fa - Yca p70. 7
- seu Br
- Vana ma + ha = fa = ca X. ponc Y d- eb
- tier B in f + hp - cs
- 0
- +dan ea
- Residua aequatio ent: s Cmahas, 2 pt qu assa, g LbB
- cresb
- mehatue
- ax
- pr47
- P+4c + d a Lb
- ) ea-da
- ract --d4
- ga
- n
- man
- of. est sa B L b (- ff 8
- -
- pone pce=
- + +V 1 9si tsnerm
- vbco
- HinC a vsnc - vbcom -Dbcon
- Fncavine vbcom -bcone mitgarmga intgariva int +m +nten EI
- 90
- Ponatur cop qn quaeramus F. patet ormnta non mnttiplirata per t, multyli cari pe
- inlepisoaeti i. eogum cntufiectam summae cnlisti epe hatenea vatat
- da- ea
- ca br
- q1
- Aej (15)
- 5b- ca
- sin + ns
- inta
- s
- Eyo
- f
- esmne (+b vlco
- man min D (AV, + +V
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 27, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068240:0007?run=74