Ceva, Giovanni
,
Geometria motus
,
1692
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
>
51
52
53
54
55
56
57
58
59
60
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
>
page
|<
<
of 110
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000484
">
<
pb
pagenum
="
47
"
xlink:href
="
022/01/053.jpg
"/>
cta FE parallela AB, vti etiam FG parallela AC, erunt
<
lb
/>
<
arrow.to.target
n
="
marg106
"/>
<
lb
/>
AE, AG latera compoſiti motus, cuius ſemita AF: Con
<
lb
/>
cipiatur modò P momentum, quo mobile adeſt in F, &
<
lb
/>
ducta OPK parallela alteri HI, vel NL, erit imago MHIL ad
<
lb
/>
<
arrow.to.target
n
="
marg107
"/>
<
lb
/>
<
expan
abbr
="
imaginẽ
">imaginem</
expan
>
PHIK, hoc eſt MH ad HP, vt CA ad AE, ſeu vt BD
<
lb
/>
ad GF. </
s
>
<
s
id
="
s.000485
">Pariter erit imago NHM ad
<
expan
abbr
="
imaginẽ
">imaginem</
expan
>
OHP, hoc eſt
<
lb
/>
quadratum ex MH ad
<
expan
abbr
="
quadratũ
">quadratum</
expan
>
ex PH; immò id ex BO ad
<
lb
/>
illud ex GF, vt BA ad AG; quamobrem punctum F cadet
<
lb
/>
in curuam parabolicam communem, cuius diameter AB,
<
lb
/>
& baſis, ſeu ordinatim applicata BD, ſcilicet AFD erit ipſa
<
lb
/>
curua parabolica. </
s
>
<
s
id
="
s.000486
">Quod &c. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000487
">
<
margin.target
id
="
marg104
"/>
<
emph
type
="
italics
"/>
pr.
<
emph.end
type
="
italics
"/>
2.
<
emph
type
="
italics
"/>
primum
<
lb
/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000488
">
<
margin.target
id
="
marg105
"/>
<
emph
type
="
italics
"/>
Pr.
<
emph.end
type
="
italics
"/>
3.
<
emph
type
="
italics
"/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000489
">
<
margin.target
id
="
marg106
"/>
<
emph
type
="
italics
"/>
Ex eadem.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000490
">
<
margin.target
id
="
marg107
"/>
<
emph
type
="
italics
"/>
Pr.
<
emph.end
type
="
italics
"/>
2.
<
emph
type
="
italics
"/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000491
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Scholium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000492
">
<
emph
type
="
italics
"/>
Quoniam graue, quod iaculatur extræ perpendiculum, li
<
lb
/>
berum ab omni obice, niſi turbaretur eius motus à proprią
<
lb
/>
grauitate pergerct moueri æquabiliter iuxta directionem, ve
<
lb
/>
locitatemque ei traditam; habet verò coniunctam grauita
<
lb
/>
tem, qua, niſi ab impreſſo impetu flecteretur motus, deſcen
<
lb
/>
deret iuxta perpendiculum motu naturaliter concitato, cuius
<
lb
/>
imago velocitatum, triangulum eſt; Hinc propterea granę
<
lb
/>
vltra perpendiculum proiectum deſcribit in curſu ſuo, motu
<
lb
/>
ſcilicet compoſite, parabolam vulgatam. </
s
>
<
s
id
="
s.000493
">Verùm enim verò
<
lb
/>
deſcriptionem iſt am neceſſe aliquo pacto eſt ex duabus cauſis
<
lb
/>
vitiari, hoc est ab aeris reſiſtentia, & perpendiculis non in
<
lb
/>
terſe parallelis, quippe in idem,
<
expan
abbr
="
vnumq;
">vnumque</
expan
>
punctum, vniuerſi
<
lb
/>
centrum, conuergentibus.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000494
">
<
emph
type
="
center
"/>
PROP. XIII. THEOR. IX.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000495
">SI ab aſſumpto hyperbolæ puncto, recta axi primo pa
<
lb
/>
<
arrow.to.target
n
="
marg108
"/>
<
lb
/>
rallela deducatur, quæ ad ſecundam diametrum per
<
lb
/>
tingat; Quadrilineum comprehenſum ab ipſa curua hy
<
lb
/>
perbolica. </
s
>
<
s
id
="
s.000496
">& dictis tribus rectis, erit imago velocitatis il-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>