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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 9
# Folio 1r, page id 00068182:0001
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Secare Rectam n extrema et
media ratione
1. Constructione lineari ex Analysi
Algebraica fluente
sit recta AC ita secanda in B 
ut sit AC ad CB ut CB ad BA
producatur AC usque ad D et E, ita
ut sit cD dimidia ipsius AC, et DE sit
aequalis ipsi AC, praeterea ab AC
detrahatur AF aequalis dimidiae ipsius CD.
jam super EF describatur semircirculus
cui ex D perpendiculariter educta eart
DG occurrat in G. Inde ad partes A
sumatur DB aequalis ipsi DG eo
punctum B erit quaesitum
2. Expressione Analytica
Data AC dicetur a
erit BC aequal. - L a + = a15
AB aequal. + 3 a = + a V5
Appropinquatione Numerorum
 Si AC sit ut
erit AB
481966 quae
ut
1000000
quantitas paulo quidem minor est justa
exacta, sed error nondum est pars
1.
1000000 ma ipsius AC
si tam accurate procedere nollmus,
satis prope accedemus faciendo
482, quae quidem quantitas est
AB
pusto major, sed error nondum est
1000
pars 100ooma ipsius AC
m
Patet hinc AB paulo minorem
Bsse esse dimidia ipsius AC, quae
i a dimidia ipsam AB nondum quin-
quagesima ipoius sc parte ex redit
equal.