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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 14
# Folio 11v, page id 00068167:0022
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etiam dimidium ipsi C apsignetur
et unum tantum ipsi B et proinde celeritas d vis
detrahenda ipsi B erit Z, detrahenda ipsi K erit L + 2. Si
+
vero tria sint quatuor corpora B, C, d, tunc soli B servetur
2, ret soli C ipsis D et C singulis L, ipsis D, C, B simgulis L
ergo ipsi D detrahetur vis L +  + =, ipsi C = + et 8
denique ipsi B, L de tota vi, quae erat et ad priorem cum
quo solum essent corpora, ut 3 ad 2. Sut corpora infinita
L
2
+
e e
64
ec
et vis detracta ipsi ultimo exinfinitis
penultimo
ete antepemntermi HC
et ut verbo dicam, si corpora, int a numere a inde a primo
sumantur in progressione anthmetica, erunt vires detractae
tan progressione Geometrica. Sed quid a ponama, et proinenes
a
aa
si corpora sint aequalia erunt differenliae coleritatum ta celer in
pogre  ut numeri si distantiae a primo corpore sint ut loga
etpithmi. Si situm si sita ponantur esse muttiplilata inraioe
distantiarum ita u corpus tunc toti corpari ultima tunc
numem corporum sit Z epsila erunt
-1
C
cota igntuo vis enit inio erratucu videtur si sint duo corpora
Detrahenda B et C sis a primo A, nempe B et C vis utique dividenda in
Eduas partes aequales et isisi C detrahetur L+ 14 et ipsi B  sed si
sua tia linhenda B, C, d vis dividenda in partes tres et oasoli
v
sullimo servabitur L, ipsis D et C sevabitur L, ipsis D, C, B, 
ergo D accipiet  +  + 2, iptis et C, L + 13 et B, L Ergo si
6
,ut = + L + Z. 28C
2-1
erit ergo area Hyperbolae distribuenda reprehensant totam vimo
vec arex. inde ab ullima ordinata sumle, crest abscissa exiq
i vi
Sx
no
e
distantia exremam ordinatarum sit lon
distantia corporis a strimo, dabit vim ei defrahendaa corpori
sed si
consiliario et
rbliothecario
dponamus fila esse miuterplipata in ratione distantiarum, itque ud
A et p connectantur filo suo; a B et C duobus C et d tribus
hunc primum vire viferepiosentalida erit kiangulo sit B
et et quide Area A+ R duba VR erit vis
uscubenda ipsi corpori V soli seu ullimo, at ABBVR+1B
ascribetur ipsis V et B ut PR + B.C + 2B2C ipsis
Ver cB et 218 et ita porro. Ergo V accipiet
C 4 2
2C
a
xe et comnus Bhabebit
sit AB = X et AY = a =VR. fier
e vis detrahenda ipsi 1B1C, = 1BC4 2B2CdC, seu
X ax
a-X
quodsi Aiam corpora V B, 2B, ece sint majorius ex ratiure ipsaum YR, BC
sen quodlibet suo filo alligatur, tunc idem est calculus virimnt, tantum postea
oeum
pluribus tilis ejusdem distantiae diversa unu nctudines corpora alligantur
lelem ista applicri possunt corpori quod euetur in feuido tenaci secum ejsparte
dema omni