Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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nis, quouſque in unum punctum r conueniant; </
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<
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xml:space
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">erit pyra-
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midis a b c r, & </
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<
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xml:space
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nea r h. </
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<
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<
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">reliquæ magnitudinis, uidelicet fruſti cen-
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trum in eadem linea neceſſario comperietur. </
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<
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xml:space
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d b, d c, d h, d m: </
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<
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xml:space
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">per lineas d b, d c ducto altero plano
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intelligatur fruſtum in duas pyramides diuiſum: </
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<
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xml:space
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midem quidem, cuius baſis eſt triangulum a b c, uertex d:
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</
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<
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xml:space
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<
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">in eam, cuius idem uertex, & </
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igitur pyramidis a b c d axis d h, & </
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<
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xml:space
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">pyramidis b c f e d axis
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d m: </
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<
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xml:space
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">atque erunt tres axes g h, d h, d m in eodem plano
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d a K l. </
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<
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">ducatur præterea per o linea ſt ip ſi a K æquidiſtãs,
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quæ lineam d h in u ſecet: </
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<
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ſtans eidem, ſecansque d m in
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z: </
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<
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xml:space
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">iungatur z u, quæ ſecet
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g h in φ. </
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<
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erunt φ q unum, atque idem
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pun ctum; </
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<
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bit. </
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<
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æ quidiſtat ipſi d g, erit d u ad
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note
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u h, ut g o ad o h. </
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<
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pla eſt o h. </
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">quare & </
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<
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">d u ipſius
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u h eſt tripla: </
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xml:space
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<
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xml:space
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dis a b c d centrum grauitatis
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erit punctum 11. </
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<
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xml:space
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niam z y ipſi d l æquidiſtat, d z
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a d z m eſt, utly ad y m: </
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<
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xml:space
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ly ad y m, ut g p ad p n. </
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d z ad z m eſt, ut g p ad p n.
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</
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<
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xml:space
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">Quòd cum g p ſit tripla p n; </
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erit etiam d z ipſius z m tri-
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pla. </
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ſam punctum z eſt centrũ gra-
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uitatis pyramidis b c f e d. </
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<
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ctaigitur z u, in ea erit </
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