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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 210r, page id 00068194:0419
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2y Maji 1678. Pars sekeda 11.
De minima ad Conicam a puncto dato ducenda.
Parte prima
 pracei inventum est calculo, solutionem Problematis in Conica
data jam et in plano descripta, solo circino et regula sit construendam
et pllane generalem
satis commodam in potestate esse. Nunc culculum superest ad constructionem
accommodemus.
Ad constructionem autem indigemus tantum literis
primoectis quantitatitus in aequatione (14) (14)
indquantitatibusatspra assumtis ad explicationem indeter
minatr incognitarum X. y. quae sunt (. O. S. +. quanquam ipsae
β et D negligi possint, imo quod optimum  est fieri aequales unaquaeque unitati
adeaqu haberi pro nond destruuntur enim tandem, ut apparuit aequ. 44. 45. restant ergo ex
ope aequationum 45. 46
hoc quidem capite inveniondae tantum S. F.
secundo indigemus rectis
vel quantitatibus f et g. ad ducendam rectam cujus intersectione
cum Conica data invenitur punctum quaesitum C. vide aequ. 19. Est
autem f. quantitas data, (omissis (. 8) per aequ. 36. et 9 per aequ. 39
junctis 43. 44. pendet ex inventis s. t. Quanquam autem in aequationit
36. 45: 46. ipsae f. S. t. determinentur per datas n. K. p. r. W.
quarum valore, patent ex aequ. 12 et 13. et ex aequ. 35. quia tamen necesse est
1d
(9)
ipsos exprimi, hinc fit n aequ. 113 + 113  R aequ- ad paegu. AF1
10
raequ - ad. n’aequ1+ 2a + a ex aequ. 47. quia 113 reprae
sentat signum ambiguum, omne autem signum ambiguum in se ductum facit +
n
(52)
Ergo W per aequ. 35. 47. 51. erit W aequ. 9 +2 a9. +a + 4a9 + 1139 + 113a
C4)
seu faciendo 9+ a Edqu. b. fiet WV aequ. Nb + 4a9 + 113 b. et n aequl
Hinc ex aequ. 26. et 52. omissis β. 8. fit f aequ. N. + 4aq + 113 b..
s En
Porrs in
Unde ex aequ. 45. fiet:
52.
ut 
4a
et pW LIa s tab. + 133bC
qu aqu in P. -qua W apu + r taaque aqu c
1150 raqu S (+3, 11 8b9) + + 4a4
(21 1 b
Denique ex aequ. 46. fit.
+
= 2 a
asrtaqu
+Mhac nb
131C
t + 1gb s + _ -ad 5 + 1a + - ad) (6
+2a.
131 e
aequ. 0
vol loco aequationis 51 adhibendo pV. C. et faliendo rqudam t
1361S Ct ( cade  103)
++a.
. 2 ad)
d + p +
et loco aequationis 62.
4)
+ 4 p - + + nib 5 + as +p t = ad aquo
iia
Cascriptis
Quae expressio compendiosa simul et ad constructionem apta est, quia rectae
p.C. b. c. W. p. (. quae sinc explicatione adhibentur, facile ducto rectarum
linearum in figura exhiberi p adeoque in sequentibus sine explicatione
assumi pessunt.
2rb4a9
a a
seu W aequ. C + 113 b