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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 36r, page id 00068010:0071
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# Lines: 53 recognised, mean confidence 0.83
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de Rationibus
Datur ratio
et ratio
e
 aequ. a
a
 aeqv.
atco
sed non ideo datur ratio
ca
aequ. t
licet ponamus eeia esse quantitates datas.
utile
dmfotione
sequienti ex
si AC quadrans, bisectus in D erit segmentum
B EGHFDE aequ. sectori EBFD ut ostendit
Greg. a s. vintentio ib. 10. part. 1. prog. 20
ABC sit c. EGHF sit d. et EBF
si t
D
duequ. e
ACDA sit Z
EFDE sit co
Sed si ratio detur ducrum
segmentorum Z et co detur
alie
et ratio duorum e scolorum
+q et d +co utique tam Z quam
C
cd poterunt inveniri nam
sit c +Z aequ, db + bco, eut Zaquo
erit 7 aequ. db ab +bco at idem Z aequ. hco
ergo fiet: h- b co aequ. db =C
eum
(d
aequ. d- 1 unde patet exci
piendos esse
t
=
scasus quilius prob
seu l aequ  db - c. oC scibum
h = b
pro c quae  scribamus hf; fiet
Cd aequ. db = fH
B
posse co, nisi sit h aequ. b. quo casu fit etiam
db aequ. th. seu db aequ. C. vel quia Caequ. st
siet db et 8b argo. Jh, tiet db aequ fb. seu
fiet d aequ. f non itaque inde duci potest
tore eo aequ. a aequ. +t licet sit eocaqu db-
icet sit coaqu 20
svert