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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 78v, page id 00068049:0156
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itaque  possumus per quadratum rationales inverire sydx s= SZ +. 2+.: Z
Quod est principium novum ad promovendam Geometriam retraconistam, ut tandem
 per quadraturas rationales, adeoque  per angulas et logarithmos
habertur dimensio curvae conila, et superficies coni scalen, ut ulia
quae hacterus non habebantur dimensio cycloeidis, secandariae, atque alia quae
Pacteus non habebantur. itque ob hanc causam hujus praesentis
mocedeatis (alculia laborem devoravi, institutis probis comprobationibus numerics
tum plenis, tum novenaris, ut calculi possem esse securus.
Obtinebitur autem ut sit 008 = 0 faciendo 17 = - 162 - 5. 790: 3. 16
et ut sit 0002 efiet 15 = +bis 16. 29556 +16. 17 + 317. 790C8  Gffo:, bis 3.190 + 16. 17
-bi5 16. 790
posito autem o0y eto00r =0, fiet. 
3.17556
+3 5. 12- quil. 3. 5. 43. 12 = quat. 5. 5, 0000 8 = 05. 12
05
seu compendio pro ponendos
 pro 12 pdvendo Z. fiet
y= 140Z + a1Z +42: 43Z
et aatur sydue per quadratura
rationalem
AB, Z; BC, y. datur 5ydZ ut dixi per quadraturam ratiomalem. Datur et (quaque per eandem
bis 5. 5. 12
hoc est momentum figurae HABC H exaxe AB datur per quadraturam rationalem
porr. nomentum ejusdem figurae bu axe datur  (yZAZ est Y40Z + 4, Z. +47 dz: 43
Htoc momentum ex AH, quaeramus adhus aliter tempe per fq2dy. est autem 45 yt q -40Z + 4Z+42
seu ponamus 40 = unilii fet Z = 43y 2 = 2 a a3yt = f.43 y - 1 41. 43y + Z 41 -3+ 2 2.
3y
sed ita reciditur in diffict
Sed si quaeramus yZdy, rursus quaerimus momentum figurae ex AB it natum est n ja quod datur
quadratura rationali oue (yy+Z. juu Syzdys est V. 4439- = 41. 439 + 4F + = 437- 241 ydy. id equ
datur per de quadratura rationale
d 10- d02 2 s) sit O = 7402 + 413 +42
tr en
at tu
umatur ydZe
Ergo datur oZN 2 40Z + 41Z: S   umari pt absolute