Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 108r
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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The machine reads it as
- Applicatio ad curo conicam
- sel 10 ipso dum Ya + b est revocabilis ad rationalem, etiam va- s1. est
- 1118 - 1b = 3
- -S liflis -a
- 2- i
- AC3- 2Cy
- revocabilis ad rationalem, ex natura ambiguorum. Hinc
- 165+22810. 20 et faciamus
- n
- 11. 50. 2. 2. s.
- q
- ex + yt extrahendo fiet y = a + xF = b - X
- et CcX = b - CX
- est
- 1- sia XF b cx
- 1btro
- (3
- bant X +CCXX
- SatesEc Xx ∞ b - cx.
- berbea
- x cxx
- bc
- A) + 2b cX + ex
- et
- F2bC
- + Sa + eX + CCXX - b - CX quae quantlus revocari pt
- +26c)
- -a + ex +CCXA - b - Cx
- + 2bCX
- fractionis per
- ad rationales, explicando X
- ex aequ. 1.
- Et multiplicando, utrumque terminumnumeratorem,
- + 13X + cCXX - b - cx
- fiet y4 arbe.
- Y a: BX(= CCXF
- (4 (-2bCX
- +6) +2bcx) (+ cexx)
- sit (5) ( (i + ex + Cex
- .se Ego v - C fb2 +1b cx
- a - C3X
- +
- revicari potest ad rationates.
- Quia ergo Zixrevocari potest ad quadraturam rationalem,
- pro X substituendo valorem ex 19. 1 et B+ ex de revocari itidem
- potest ad quadra
- V. a ex tuiam rationate
- it gsrat
- Ergo utique et Vdx ad quadraturam rationalem revocari pt, ad qua
- e sed vax ei similis est ad quam curvam Conicam reduximus
- Y = s + 2by - a, :, 8- 2c9 Ergo d. ex- (agt 2cay-8y. beyta)
- videtur subesse in calculo error. Resumamus
- a a + ex = 2b y + y fit, )a + CX
- 1
- e3. 2cy
- = b- ex
- + B + 2b cx + ex
- jam exaeq. 1. fit X = = a + 269 +,:, e- 2c quem valorem ipsius X in aeg. 3, si substitu-
- 3
- 2CX y
- arius in aq. 2, prodit identica y =g. quod et signum calculi probi.
- ipsam agamus: C3X = a + 2be y + e’ y
- Sed rem
- 126CX - 26 a + 41Cy + 2bcH
- x compendo O: D fiat +a5 + e OD +C6 opartet numeratorem esse extrahibllem
- + C2X
- . Fibca
- tCxX
- . 22b
- si aetaeacec
- eb eCabceyabc
- At
- (a9 + 26 85 eb y
- P. a+ (
- _d= e- _cey + 4cCy
- tracehi bcey -2cey OD. etabe
- -2bco u 2bce
- bc Meu (. qVc
- etabids Cide y tabeystcy
- Aqy
- Oc
- OD = - at + 2b 3y + e ist
- y- (. - l- 8_ G . Th. b. 3. 10
- +2acy2 - 4bcy - 2Cy
- 412
- =a 4ab y- 249
- +462y + 4by +y
- unde sob e e +cy
- +dc Xy
- 1. We (+2bc
- 0 = +ac ( 1y) cy
- subest enir in calculo, sed nil matans
- nai summam.
- Ad hibeantur numeri veri, p quod
- hic ficu pt; ut eror evitetue in calculo
- - b
- 1- b
- +
- aa +bb
- (a + e PX+CX
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 108r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0213?run=74