Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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0115
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DE CENTRO GRAVIT. SOLID.
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tur, centrum grauitatis eſt idem, quod circuli cen
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trum.</
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<
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">Sit primo triangulum æquilaterum a b c in circulo de-
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ſcriptum: </
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<
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<
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">diuiſa a c bifariam in d, ducatur b d. </
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<
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">erit in li-
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nea b d centrum grauitatis triãguli a b c, ex tertia decima
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primi libri Archimedis de centro grauitatis planorum. </
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<
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">Et
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quoniam linea a b eſt æqualis
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<
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fig-0115-01
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xlink:href
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number
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70
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0115-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0115-01
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lineæ b c; </
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<
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<
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">a d ipſi d c; </
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<
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">eſtq́;
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</
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<
s
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">b d utrique communis: </
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<
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gulum a b d æquale erit trian
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xlink:label
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note-0115-01
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note-0115-01a
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">8. primi.</
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gulo c b d: </
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<
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<
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">anguli angulis æ-
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quales, qui æqualibus lateri-
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bus ſubtenduntur. </
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<
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xml:id
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">ergo angu
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xlink:label
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note-0115-02
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note-0115-02a
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">13. primi.</
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li ad d utriq; </
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cum linea b d ſecet a c biſa-
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riam, & </
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">in
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xlink:label
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note-0115-03
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note-0115-03a
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mæ tertii</
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ipſa b d eſt centrum circuli.
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</
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<
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centrum grauitatis trianguli, & </
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diuiſa a b bifariam in e, & </
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<
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">ducta c e, oſtendetur in ipſa utrũ
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que centrum contineri. </
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<
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">ergo ea erunt in puncto, in quo li-
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neæ b d, c e conueniunt. </
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<
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">trianguli igitur a b c centrum gra
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uitatis eſt idem, quod circuli centrum.</
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<
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">Sit quadratum a b c d in cir-
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<
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="
fig-0115-02
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xlink:href
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fig-0115-02a
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number
="
71
">
<
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="
0115-02
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0115-02
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culo deſcriptum: </
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<
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a c, b d, quæ conueniant in e. </
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<
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">er-
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go punctum e eſt centrum gra
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uitatis quadrati, ex decima eiuſ
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dem libri Archimedis. </
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<
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omnes anguli ad a b c d recti
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ſint; </
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</
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<
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">51. tortil.</
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itemq́; </
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<
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neæ a c, b d diametri circuli:</
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