Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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166FED. COMMANDINI compoſitam proportionem habet ex proportione baſiũ,
& proportione altitudinum. Quare & pyramis, cuius ba-
ſis eſt quadrilaterum a b c d, & altitudo e f ad pyramidem,

122[Figure 122] cuius baſis quadrilaterum g h K l, & altitudo m n, compoſi
tam habet proportionem ex proportione baſium a b c d,
g h k l, & ex proportione altitudinum e f, m n. quod qui-
dem demonſtraſſe oportebat.

Ex iam demonſtratis perſpicuum eſt, priſma
ta omnia, & pyramides, in quibus axes cum baſi-
bus æquales angulos continent, proportionem
habere compoſitam ex baſium proportione, &
proportione axium. demonſttatum eſt enim, a-
xes inter ſe eandem proportionem habere, quam
ipſæ altitudines.

THE OREMA XVIII. PROPOSITIO XXII.

Cvivslibet pyramidis, & cuiuslibet

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Scan	Original
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
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85	37
86
87	38
88
89	39
90
91	40
92
93	41
94
95	42
96
97	43
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Scan	Original
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80
81	35
82
83	36
84
85	37
86
87	38
88
89	39
90
91	40
92
93	41
94
95	42
96
97	43
98
99	44
100