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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 4
# Folio 12r, page id 00068217:0023
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(75
porro ex. Porro ex aequationibus 21. 23. et 31. 33. pat et esse h aequ. 9+ 4y. et
(76)
Videumqus ex quaeramus
Paequ s+ l - 2Y tentemus ante omnia efficere,  ph sit quantitas
quadrata, est autem - ph aequ. - s9 + 29y  - as y + 8 1. Unde
cam rad radix quadratica extrahi non possit ne quidem si pro
arbitrio explicemus, ideo frustra adhibetur aequatio 72. vel 7B.
et necesse est assurgi rursus ad aequ. 66. ubi pro ht. p?
Ap. hp. hepr pognendi valores ex aequ 75. 76. Est autem
compendio pro st scubamus W. et fiet: p aequ. WV - 2y.
Porro
ha aequ. 2567 + 4, 6479 + 6,1679 + 4, 4y9+ 94 seu
ha (79)
aequ. 256 +25674 + 96y + 16 y9+ 9t
(80)
pt aqu. 16 y - 48) WV +6, 4, yW - 4, 2y3 + 1 4
s
H Equ. 64y +31679 + 3, 4y9 + 3
(82)
t
48
12
equ. - 8y +3, ay V - 3, 2y 2 + W3
0 ac
exaequ. 66
1287
(64y 44819+ 1y9 + 93 (1
+641  + +BV +12ygW quu
4y9- 2y4
26y + +W p
W
qu
IW X
+H
+ 16y 18y4 +
ayqo
+
18y9u
PW2
Quaelineis prorsus inclusa
omittuntur, velut non
pars, sed tantum
preparamenta hujus
aequationis
Jam
+256γ +26y9 496y 9 + 1699+9 (R 1
161 + note X tag
foye C
16Y X 32 sW 1ayh
-8yW
in aequatione 10 inserendo valores X aequ - p. ext aequ. 70. et X aqu exaequ. b
fet
(84)+)
.+y p phpaste  yt = Fy =m aequ 0
(85)
Ubi explicando n. P. habebimus aequationem in qua  erit
y. Sed hinc si ope aequationum 85. et 83 tollere velimus, pravider
tunc M etiam asfem atsurrecturam ad quam dimensionem ideoque
9 10.
literae autem quaerendae
seu = rhp + 8py - 89tp + 8sti + 8t V= + 2r tv - 8MH anqu. o
nihib lucratis sumo a.
Aequationes Sunt tres supia, sail. 1.
sunt X. y. Z. l. m. quaemitur Z. l. m.