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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 304v, page id 00067993:0610
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curvam necessi est esse non lineam od supificom, et solidum non nisi summam Tansulae
al ordinatarum alicujus plani, cujus ordinatae. Aqu. Rgu. f48. Rq1. ad reapsa tale peonumes lum, nil
eum refer, si substinas 14. 1. A9+. R49. etc ideo superficies noc loco poranidalis hoc  at so
A90. Aq. 8. R435. R9 99. idem erit, ac si erit summo Triangularis, sed ungulia
hoc modo:
solida cuus hae dfferentiae, et cha curi solido si qua figum plana homogenea ealibeatur, ejus
hondae erunt. 3. 6. 10 etc. Ungula ista converti intelligatur in prisma sed ita ut eadem muneat
homogenemm, ejus prismalis superficies aequabitur s basi ungulae. Regula generalis: Si Ungula
converti intelligatur in prsma Homogeneum, superficies pusmalis, aequabitur basi Ungulae, et
curva baseos prismatis aequabitur basi ungulae per altitudinem prismatis divisae. Quodsi portio
plana ingulae applicata quadrari possunt, ut possunt si Ungula parabolica sit potest lengula redigi inprisman
seqvali semper eadem sive qualibet applicatur in rectangulum redacta, servatia eadem semper ejus rectanguli
luigitudine. Hoc presito lum area datur prismalis imus, si scilicet area pusmatis aliunde cognita per altitudnem
dudatur, tum vero datur prismatis superficies quae scilicet aequabitur basi rengula itio Figura Basis
a
prismatis ejusmodi semper est figura sopotomica, seu differentiarum.
eq q 11 Hq3 + 4, A4. Z +9,
ipsur I. sumendum  nunc in quod divisa altitudo sumendum Erc quasi
pro linea integia, quia differentiae hic infra lineam subsidunt, aliquand
gradibus 2b9 et ultra ut si differentioe per cubos procedant etc summa
facit lineam, cum tamen alioquin si mnitas in iis foret ordinariam
faceret cubum. Aode Ergo 1. in quod altitudo dividitur, ipsis addi simpliciter non potest
7.
Z. 2. Z3. Ry A 47 2a 2X + 4Z 4 - +ZR, p 2 F 3 + 42 - 42) R
aasta 12a Rq a + 42 a - 47a
2
ex
male.
rejicio +a et - q quia fociunt non lineas, sed numtros. restat:
92a = 6za + a
a - 42
gr G. . 16 sing. Alctorde diffrentie:
aa a 2
a - 37
A =k
qur
 1a
sq 2 - 1. 2
affecto A 14Z = , = R9 Z - 4.
197= 4, - h9 L- 9.
Aa (44 + Z+5- R9Z2 + 4 -5
tg
42 a. 82
+a 2t1
u
Rg
2a R42H1.
ag3
Omnem figuram havere
ne nor