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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 69r, page id 00068207:0137
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Sria Problemata palam proposita a
R. 8. DcBilly, quae ego soluci.
1. Invenire triangulum rectangulum diversae spe-
ciei a primo omnium triangulorum rectane ulorum
31 4, 5, in quo area detracta lateri minori cirea
rectum, a hypotenusae, sixillatim, relinquat qua
duatos.
Invenire triangulum rectans ilum, in quo
dupla area dempta fengulis lateribus, relin-
quat quadratos.
Innenre infinitres duo triangula rectangula
diversae speciem ita t summa perimetrorum
summa
hypotenusarum, quodlibet majus latus
circa rectum trianguli vnius, additum minimo
lareri alterius,
tas
d.
ferentes.
Faciant sexillatim quaruor quadra-
Qouatuor
Problemata quae palam pro-
posui, ee quorum nemo hactenus dedit
Solutionem.
Invenire infinita triangula rectangula diverse
Specier, in quorum sinoulis area detracta lareri
minor circa rectum, a hyporenusae, figillatim, relin-
quat quadrato.
Onrienire infinita triangula rectangula diversae
Speciei, in quorum singulis area detracta lateri
majori circa rectum, e hypotenusae, sigillatim,
relinquat quadratos.
Onvenire trianculum rectangulum, in qua
clarerum
rentia quadratorum circa rectum detracta
eorum summae, d differentiae, Pgillatimu
auadraros.
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