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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 147, page id 79876922X:0639
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Cmp.
vol
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KACTULM CIONETGURATORUM.
Subdiet. TII.
Similia parallelexipeda, v. C. Cubi, inter se
Cant in triplicata ratione homolocorum
laterum.
Ouod idem se Sptiuris demonstrat Fucti-
des ratione diamerrorum.
Subdict. IV.
Si fuerint 4. rectae continue proporiiona-
les, ut est prima ad quartam; ita est
parallelepipedum super prima descri-
Deum, ad par alle lepipedum simile, simi-
literque descriptum super secunda
Idem de Spharis ratione Diamerrorum.
Subdict. V.
Si fuerint 4. recta continue proportionales,
quarum prima sit lacus quadratae ba-
(cos descripti super ca par allelepivedii
quarta vero sit altitudohujus par allel-
exipedi: tunc cubus super secunda e
quatur buic porallelexipedo.
Demonstratio formalis.
Nam invertatur Parallelepipedum, ut al
clcrdo hiat aequalis laceri baleos in eo parallele.
Dipecto; ec erit, ut lacus Eti ad alticudinem
cocam (h. I. Quali prostratam;) ita Cubus (u-
per prima ad Parallelepipedum prostratum, per
Subd.
47