Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ctiones circuli ex prima propofitione ſphæricorum Theo
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doſii: </
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<
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xml:space
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xml:space
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ter uero circa d e f: </
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<
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xml:space
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<
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xml:space
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">quoniam triangula a b c, d e f æqua-
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lia ſunt, & </
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<
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">erunt ex prima, & </
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<
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">ſecunda propoſitione
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duodecimi libri elementorum, circuli quoque inter ſe ſe
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æquales. </
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<
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xml:space
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">poſtremo a centro g ad circulum a b c perpendi
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cularis ducatur g h; </
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<
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<
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xml:space
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">alia perpendicularis ducatur ad cir
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culum d e f, quæ ſit g _k_; </
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xml:space
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<
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">iungantur a h, d k. </
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<
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eſt ex corollario primæ ſphæricorum Theodoſii, punctum
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h centrum eſſe circuli a b c, & </
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<
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niam igitur triangulorum g a h, g d K latus a g eſt æquale la
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teri g d; </
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eſt a h æquale d k: </
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xml:space
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<
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">ex ſexta propoſitione libri primi ſphæ
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ricorum Theodoſii g h ipſi g K: </
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erit, & </
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<
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">angulus a g h æqualis an-
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gulo d g _K_. </
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ctis. </
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</
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xml:space
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<
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xml:space
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">idcirco h g, g _K_ una, atque eadem erit linea. </
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<
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h ſit centrũ circuli, & </
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anguli a b c grauitatis cen
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trũ probabitur ex iis, quæ
<
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in prima propoſitione hu
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ius tradita funt. </
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erit pyramidis a b c g axis.
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</
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<
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axis pyramidis d e f g. </
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que centrum grauitatis py
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ramidis a b c g ſit púctum
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l, & </
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<
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Similiter ut ſupra demon-
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ſtrabimus m g, g linter ſe æquales eſſe, & </
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<
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tatis centrum magnitudinis, quæ ex utriſque pyramidibus
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conſtat. </
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<
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">eodem modo demonſtrabitur, quarumcunque
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duarum pyramidum, quæ opponuntur, grauitatis </
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