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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 15
# Folio 2r, page id 00068264:0003
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Consieur
Numeri figurati ut notam est, ita habentur
Radix Trianus.
X. Y- 1.
1.2.
vy-
pycam.
. y- 1. y-2
1. 2. 3.
y3 3yy12
l
Triangulo Trapy.
y. y. 1. y. 2. y-3
1.2.3.4
y- 6y+ny-67
24
ubi notandum est Triangularem esse dimidiam putem
differentiae inter quadratum radics et e ipsam radice
t
eua vel pro yy-y scribendo
dilditu
yu =2G+1 + y1 esse summam quadrati a numero
eadice proxigne in renore, et numere
Eyen Ithonneu de recenoirune
tre pro vy y. 3yy+2y, scribendo
1- 39y+29 -1 - y-1 erit triangularis
radue
sexta pars differentiae inter cubum numeri propime
iferioris et numerum.
pro 5- 6y+ 119 -6y scribi poterite
e
y- qu+65 - 4y+1 - 2y-5y+ 2y -1
sem 2 (y-r + Y 47+
+qun
Exquibus
prosccndionem clegentis enuntrationis nutam
video
Si bene memini cubus trangula
pis, est numerus Trangulo tiangulo tran
gularis