Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 161r
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: 0.72.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 162v); this page is its right half.
The machine reads it as
- Aequatio solida tata
- y (V +am V + an V + ap 1 0. constimenda
- ope sectionis onicae datae et Circuli. Sit sectionis Conica latus recduma transoersum
- AC Aequatio factitia ad conicam cendefinitam: + a X + b X +ca e Y + dy. -
- adcirculum quaesitum: = X + eX + Da H y + Xy. Ergo per Aegu. ad circulum erit:
- X , + eX + Da Ay, substituatur hic valor ipsius X, in aequatione ad
- 1 Concam, fiet:
- Ergo X
- F2 C. X + a B + a y +a a y
- + b
- 1y
- 4 41.
- ca
- 1dp + dy +a8
- B ~ +d. 1= ca
- + e= ea sive per compendum
- +ge + b
- Xr
- portnto + a. B - ca 14. Ent X B 1 V + B y .
- 2 + β)
- Quibus datoribus puris ipsarum X et X, in aequatione ad tirculum substitutis
- firet: yt + 2a β y 1 d - ea apV-ba
- s e..
- +aja.
- t
- ta..
- Quam aequationem factitiam incognitae unius conferendo cum data, fiet:
- per Sem. 4.
- Unc βpC
- Aee
- seu eti + 48 + 24, sen B 4
- ad ami Gpantem _ 1) b hie ceda q 9 tob9
- pateem. 2. 4 (β , L.
- pertem eda
- VN. 14
- X. 1 V
- fietque 49 ad ql2c es 1
- VL
- Iqa bu cdei lim
- u de A,-
- d
- 12-am ex
- H Lq
- F it
- Yq + Van
- avr
- + n22 Est autem Et C- b ∞ - 2a
- sii A lae qeaat go
- = a 2d
- +
- er perte ) D L p Z
- B pe Jam ostendum quomodo Aequatio + aX +6∞ ( C By+ dy.
- revocetur ad sectionem Conicum datame Epontequatioad Cnicam datam
- S Inscriptum sit sectioni conicae rectanque illum comentricum, DEF. icentro B. axe
- ACu cui parallela DE. constat esse
- EL ad MHid latus rectum 24as
- 2a, ad transversum 24. poneum si scilice puncto incurva sumto H, inde demittalu
- perpendicularis in DE, nempe HL. Appellemus AN 0 erit DE 29 + 20.
- Et appellenus V. erit DE 24 + 2O + v, v, p 29V +2OV +V
- sie At AHL ML EF B Z.. Ergo M HL B E + ZZB 4Z + ytet ) P + +Y
- Ergo 2qV + 20v +V
- 1z+ yu H
- sive
- .Ergo 2aD + 10 aY + a v 7 8Z + Z
- plicantem; = 2g. cur si componatur aequatio ad parabolam, qv+ lypo Ergo ponendo a + aaO p 5. fet 24 sV + a v p Q Z+ Z, et
- explicando. V et Z. povendo Vp 2 + 8 et Z, 3 + 6 fiet:
- 9 4
- A1ex a v + 261
- 4+.. ad to s e d D
- 1 sa
- C = 48
- per deq. 1. et 4, eut ber 4 2a G+ 2a + 2a 0
- posita jar b i2a fiet EB = O
- Ergo Spha 2a
- ce
- 167 d-7
- a 2
- erunt aequationes collatitiae sequentes:
- d uot br12 a 8 + s
- e 16
- () Ca pyaq2 + S =6
- (3) ad p 26 + P. Tumcas ( a ), rap fB 92- d 6 rd . P sed
- (4) S ei 2a 4 ad
- Erp et A d ra G P F Eypsea ap1a
- ZN EF P Ergo 861 = d8 + 8 -d + 2d F- 70
- Egoca 4qu + cat f f qu 42d7 Y) 175
- Aequatio factitia ad Cirentum Racillime etiam
- exhibetur: X + γ + ex +Ba - Ay. P ∞ -8+9
- conferendi cum V v p a W
- ee
- lol
- erfier a H Egsia
- V+ XY + EX o Explicetur cor X + D, fiet:
- l X 15. X. p70. conferendo fiet eHE. Ap, + ( = 2D. sive A B A + 2D.
- unde 2) e, t d a 2D. Euo bapi. 18 =D. fcdte cyohateu cntes
- bp 2a.
- cr + at
- er b
- dn β4 + a X
- Ego 71 a + a
- On prsaga
- 2. 1 297 - a suc +
- 4429 a
- a - a m
- F9- 2a
- llnde a
- 2a + 2405.
- divisa s per ( pq + 20a
- Ergo 29+20 L DE
- 29+ 202 a HI H a
Cite
Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 161r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0323?run=74