Valerio, Luca - De centro gravitatis solidorvm libri tres

Scan	Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50

1Rurſus quia puncta K, H, ſunt centra grauitatis triangu
lorum ABC, CDA, erunt EH, EK, axes pyramidum
ABCE, ACDA: quorum EL, eſt tripla ipſius LH,
nec non EN, tripla ipſius EK; pyramidis igitur ABCE,
centrum grauitatis erit L, ſicut & K, pyramidis ACDE.
Rurſus, quoniam totius quadrilateri ABCD, eſt cen
trum grauitatis F, cuius magnitudinis partium triangu
lorum ABC, CDA, centra grauitatis ſunt K, H; recta
KH, à puncto F, ſic
diuiditur, vt ſit HF, ad
FK, vt triangulum
ACD, ad triangulum
ABC, hoc eſt, vt py
ramis ACDE, ad py
ramidem ABCE. ſed
vt HF, ad FK, ita
eſt LM, ad MN; vt
igitur eſt pyramis AC
DE, ad pyramidem
ABCE, ita erit LM,
ad MN. Sed N, eſt
centrum grauitatis py

47[Figure 47]
ramidis ACDE, & L pyramidis ABCE; punctum
igitur M, erit centrum grauitatis pyramidis ABCDE.
Quod ſi pyramis habeat baſim quinquelateram; poſito
rurſus axe totius pyramidis, & baſi ſecta in triangulum,
& quadrilaterum, poſitis vtriuſque proprijs centris graui
tatis, eadem demonſtratione propoſitum concludetur.
Quemadmodum ſi baſis ſit ſex laterum, ſecta ea in quinque
laterum, & triangulum, & reliquis vt antea poſitis: & ſic ſem
per deinceps. Manifeſtum eſt igitur propoſitum.

Page concordance

Text layer

Text normalization

Search

Scan	Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50

Scan	Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50

Scan	Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50