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# Title: Leibniz-Handschriften zur Philosophie LH 4, 1, 4b
# Folio 15r, page id 00068695:0029
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Termini Argebraici aequales istis numeris figuratis inveniuntur ducendo
exponentem faciet + = 2 per L2 + L. feinde per numerum facierum, hoc
hocque toties faciendo, quot sunt diversa generu 3 facierum in dato corpore. Deinde producto
producto addendo vel tollendo numerum radicum ductum per Z 3+ L2 et numerum
Ut si quae rantur termini ab aequales
numeris figuratis qui repraesentemt corpus ex 20 triangulis et 12 pentagonis quoniam
guomon hujus corporis constat 10 Miangularibus faciebus et 10 pentagonis, minus
y qui est exponens
48 radicibus, + 2) angulis, primo addo 2 4 numero f3
faciei triangularis eti productum nempe L Z + 12 duco per = + 7
6XFF3+=7
einde addo etiam L2) numero 33 -22, qui est exponens faciei pentagonalis
quod duco per 18 et fit 3f +93+32
et fit 3 3 quo ducto per L 3 +13 fit ZC + L
si suagatur cum numero praecedenti fit 3C +123 + 62. unde si tollatur nmmen radicum
48 ductus per L3+ = Y pempe 247 +24  2 fit 8G - 10Z =182 cui si
addatur 21 2, propter 2) angulis, fit 8 G = 1037 32 numerus Algebraicus quaesitus.
demus numerum omnium
Demus pondem omnium 14 solidtorum, prout imaginamur illa oriri ex
progressionibus Arilhmelicis
u
Numersetraddronalis pondernt, x6Y28+ L2
octo otronalis
cubicus
Eicosuedionalis
dodecaedionat
corpus ex 4 Kemongulis 4Vli
ex 8V. er6H
ometribu axer mai res
pondera Geomenia
14. F
V2 2
angulorum ductum per 12. ut
8 hexug. 46f
r.
3 et deimde per 1d sit 5G 753 quod
fit exculocujus lalus est  2
fit extetmedio cujus lalu est
2
i es
tcosaedio
sol
coscedio
dodecaedio
l. 17
15-
20 herag. 12. pent
20 Y. 12 pentas
20V 12 decag.
20Y. 30l. pendug.
(F Alio atramento ascriatum erat +)
supersunt 2 corpota lnum ex d exagoui et 12 quadralis aliud ex. 30
quadratis 1 12 decag. et 20. hexag.
Igras
15.
275 s5 4.6
2y15 +2C