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# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 82, page id 79876922X:0568
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82
ARCHIMEPRTEA DICTAMNA
ncibus finitis lisillaim inter se xqualium, re-
linquitur e ad tantuplicandum datur; illani
hilominus non meram Capie lineam vel super-
ficiem: Sed ubi dacur linea; hib. ejus specteibi-
dem datur superticies, qua ese Rectangulum.
quod tanta consicudinis est, quanex linea; de
quod est tantae lacicudinis, quantam quaevismi-
nima parcicnla in mundo hiabet consitudinem.
EC ubi superticies, inceltise rectangula, obfon-
3a, aut eo reducta, datur ita producenda; ibe
ducur nobis Polidum Rectansulum, quod tanta
Consicudirris se latiendinis habetur, quantae da-
ea superticies; protunditacis autem tanta, quan
ed quavis corporalis minima particula in murr-
do obtine protunditarem
5. 10. IIa, nempe daca perpendticularis li
nea, eAt series toc minimarum superticiecularum
quadratarum, quoc ejusdem lonsicudo mon
Atrac; quae cancuplicando super balr data cocies
ctacuitur continuo, quot vices ipta basis mon-
Arac luis minimis particulis, quonsque perpen-
diculum ducendum est. Similiter e producen-
ea superticies est series oblonga tot corpusculis
seu cubulis, continue secundum eam superti
eiem dispolris, ut eam eocam repleant: qua
series tantuplicando toties concinve, ut stratum
super Aratum, collocatur, quoad usque reltx
coefticientis terminus percingit. IIo calu, lI.
neari nempe, prior linea, ut Numerus, pro per
pendiculo Cacuicur; et altera pro bali perpen.
dicu