Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

Scan	Original
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80

14919DE CENTRO GRAVIT. SOLID.

102[Figure 102]

THEOREMA X. PROPOSITIO XIIII.

Cuiuslibet pyramidis, & cuiuslibet coni, uel
coni portionis, centrum grauitatis in axe cõſiſtit.

SIT pyramis, cuius baſis triangulum a b c: & axis d e.
Dico in linea d e ipſius grauitatis centrum ineſſe. Si enim
fieri poteſt, ſit centrum f: & ab f ducatur ad baſim pyrami
dis linea f g, axi æquidiſtans: iunctaq; e g ad latera trian-
guli a b c producatur in h. quam uero proportionem ha-
bet linea h e ad e g, habeat pyramis ad aliud ſolidum, in
quo K: inſcribaturq; in pyramide ſolida figura, & altera cir
cumſcribatur ex priſmatibus æqualem habentibus altitu-
dinem, ita ut circumſcripta inſcriptam exuperet magnitu-
dine, quæ ſolido _k_ ſit minor. Et quoniam in pyramide pla
num baſi æquidiſtans ductum ſectionem facit figuram ſi-
milem ei, quæ eſt baſis; centrumq; grauitatis in axe haben
tem: erit priſmatis s t grauitatis centrũ in linear q; priſ-
matis u x centrum in linea q p; priſmatis y z in linea p o;
priſmatis η θ in l_i_nea o n; priſmatis λ μ in linea n m; priſ-
matis ν π in m l; & denique priſmatis ρ σ in l e. quare

Page concordance

Text layer

Text normalization

Search

Scan	Original
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80

Scan	Original
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80

Scan	Original
51	20
52
53	21
54
55	22
56
57	23
58
59	24
60
61	25
62
63	26
64
65	27
66
67	22
68
69	29
70
71	30
72
73	37
74
75	32
76
77	25
78
79	34
80