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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 89v, page id 00068124:0178
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ad
s jam ducta BW (ad partes A) p ipsam
AB perpendiculari. et recta ipsi AB paralleli
per puncta L et M, nempe L0 et MK
aumam chordis curvas AKL R et BMOR
5. Connectentis producantur ut ipsam rectam
W secent in X et curvam quandam
novam in Y situe  XV aequalis
ipsi chordae MK vel LO, patet Tricine
2s
em orphogonium NBa
W aequali
espatio AA RLABM R, adeoque et trilineum
hoc erit quadrabile. At portio aliqua hujus
triliner ut W
nemp
XYI  seu segmentum
pa
cn aequatur ALK MOR quadrari pro
propteres non potere.
et demonsrer
potest, si semper tale semmensum foret qua
Grabile semper quadraturam dati segmenti
circularis possibilem fore, nam addendo
vel minuendo alia admc triangula vel parabo
eens pro lubitu facili effici posset  ut
X
ducta Ocdβ quae secet
eD
in , et BGem (
dato sector BDBB habeat rationem cogni
e
tam ad dactem sectorem aliquem ADEA, (modo
non sit ratio aequalitatis). Nec nocebit etsi pro
pro quovis sectore quadando dato ADEA, novam
ZMR salva eadem intentione comminisci necesse sit
jam a sempers ex suma explicatis, si datur a
sagmentum RLKMoB dabetur residuum a toto AL ABMa
qrippe dato ergo duitur AE LK A + BcoOMB, ergo
ex super oribus, facile colligi poterit datum iri differen.
tiam intes sectores ADE A
et BDBB. Data ergo tratione
et differentia dabuntur ipsi sectoret adedque et sector datus, qua
est absurdum. Haberetur enim quadratara circuli generalis. Illud at
tem opatet dari semper AR+
 ADCA+ RVMBaequ.
eorem Tertiis Trianguli ASp posito Ae aequ. BV.