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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 28r, page id 00068207:0053
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Eg 
a
d
dontis jctem ut prius (in fius? mihi transmisu)
ducat preterea per C rerta et par allela ipir
a
BD, et per E recta EF paral. ipti DG produitae
m H. Et sit AB, BC, a AG. X. (GD, y. )IF, 2)EF, B.
Fit D(D) = a LX: y. (CF = a + y. sp paral BD,
Ainc AEum CD(D,
(1
. H. tCO 
(xCT- DH) (Ct, et e aequal
3,BD.)
unde conr
ua sunt
ay, adx: 27= et BGd
sic E(C) = 12aa, dz: v. )E CE = fraa
HmO DEU CE (C) (2)
uz se
hanxa et  ecta tages arti rcum
ats tayau
 a
Cv
2ty
subitit. m 1. et 2 aqu. vator. X= d Tat yy sex circ) v= aa tay (ip sim.
a rectans. DCH, ECF)
3=
aaseay-at= a fa
ad.yy
atque
Eut ax = ydii
sic de=
adu
satus
Taanyus
adu
Tan- ay l
)
fina aatax = fina- aa tay. (ep eand. nimilis
at. Taa ay)
Ergo aty, adx: 2y = saatay
2laa +ay
3)CDs
dy=C
dy)a saty
Oiaany
2las
Ergo aadz: v saataa- ay
idy) = aa (a-y 1 (4)
aty, 2laatay,
rat2ylaty
s
y = CE(C).
0
Eit autem juxta On. Tschirnh. pars Lunulae ADE A = N AGC 1v0 = AG
m ZBC, h. c: = a X. Ergi pars Lunulae elementaris D (D) (E)E = diffae, oru
AG, BC, et AG+ aotG in BC, h. es. -(a dx aydlis C5
e
2 Taa yy
CD(D) = CE(C).
Ergo aequ(5) = aequ (3) = aequ. (4); avitus utrinque divisis per ady, et
2
reductis. semper prodit absurdum; idemque fit, si eaedem aequades explicent
per X.
tarc
lat; in daa 1. 2. D. 5. aequ. ist kem fehler. Den iis wil miht glauben, daß
e
Hi Tsch gairret, welisr diest theorima sua methodo mointum so fran-
chement pabliciret.
Wenum Deinem Linger (dem nisti in dau
erstan 3. frungen entlauffet, wie ich V. ander. Wol wißen) etvom eie
Klane vibfieee, Woltarihs darumo gebeten haten, damit ich folche an
mena fsalt Pfota binden et. dan chlanean geometrihem fuchfen
3s
Harst ouf die hant greiffen hone, ehe sie min putischen.
Brevius perxC
nam aadu:est
adx. ad
ED(D) (E). 1965)
e
fuit
obtrimnus. BHC ethFC imilai
nor e in calculo. V fit = Vaataq 
3 12aa- Iaa-ay et hinc dz = ady: 2laa -ay
s
et CEE) = aa dgf agdy: 2 Vaa-yy, jam CD(D= aatay y: 2aa yy
Ergo CDD) =CEE) = ay cy: 2tag ay = 6dD) (E) et Taydy: Naa-ay= = a, a- suajy
ax _ = CaG. Ero cAG = SEDOE) = ADEA