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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 292r, page id 00067993:0585
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Idem Collorarium etium hinc probatur eadem opera, quia jungendo terminos
diversarum serier um fiunt numeri impares ut 5 4 3 21
quod sisic
fiet
Unde aliud Corollarium, si termini progressionis continuatae duplicatam
accedente numero terminorum unitate auctus vel numero proxime major datis
Summa erit quadratum hujus numeri accessorii.
Ex Bheoremata nosro demo (de Restangulis) demonstrari potest quoque, quod
ailibi demonstrutu necessarium esse dixi. Triangulur rectangulum esse aequale altitudini
dictia in busin facto dimisiato. sunt enia excessus aequales, minimus omnium punctum
hinc alterius progressionis, complentis maxinus cum non nisi puncto differat a maxi
Vellem simili ratione demonstrari quaedam
possent de inta ctis hactenus figinarum generibus. Hujus loci est temma illud
mo primae, erit aequalis.
Archimedis, positum ab ex in despiralibus quo Archimedis utitur et Galilaus ad qua
si quotcunque lineae (quantitates se exce
duit aequaliter, et excessus sit aequalis minimae earmus et sint aliae quorcunque aequalis
drnturum parabolae dial. 2. Mech.
maximae, quadrati omnium haram erunt minustriplis quadratorum earum quae
se excedunt sed plus quam tripli aliorum illorum quae restant.
in axima
e
sustracto quadrato
Add. huc quae habet Talitri dial. ibi 3. firi. seu
appeniue, ubi de centro gravitatis.
l
id
ad summan terminorum
Nota haec delineas utilis esse potest
ad dimensionem parabolae, vid Galil.
loc dicto.
n ntnenemamera
101000 000 000000000d0
10 v0
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