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
>
31
32
33
34
35
36
37
38
39
40
<
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.000432
">
<
pb
pagenum
="
42
"
xlink:href
="
022/01/048.jpg
"/>
ctum iuxta tendentias rectas, obliquatur tamen ob ſubſe
<
lb
/>
quentes, aliò tendentes niſus, & ob id diſtrahitur punctum
<
lb
/>
ipſum à priori tendentia, idem accidit ex alia parte ſi re
<
lb
/>
flaxiſſet idem punctum, nempe hinc inde vnicam rectam
<
lb
/>
eandemque, continuantibus oppoſitis ad idem punctum
<
lb
/>
directionibus, ergo directio, & tangens vna, & eadem eſt
<
lb
/>
recta. </
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000433
">
<
margin.target
id
="
marg93
"/>
<
emph
type
="
italics
"/>
Pr.
<
emph.end
type
="
italics
"/>
7.
<
emph
type
="
italics
"/>
huius.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000434
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Corollarium.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000435
">
<
emph
type
="
italics
"/>
Hinc ſequitur, vnicam lineam dicendam eſſe, cum à quo
<
lb
/>
cunque illius puncto vnica tantùm ex vtraque parte egre
<
lb
/>
ditur tangens.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000436
">
<
emph
type
="
center
"/>
DEF. III.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000437
">QVòd ſi ex aliquo puncto duæ tangentes hinc inde
<
lb
/>
egredientes angulum efficiant; tunc propoſitam li
<
lb
/>
neam inflexam dicemus, & punctum, in quo ſunt
<
lb
/>
contactus, inflexionis appellabitur. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000438
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Corollarium I.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000439
">
<
emph
type
="
italics
"/>
Ab hiſce deffinitionibus, & priori coroll. </
s
>
<
s
id
="
s.000440
">manat artificium
<
lb
/>
componendi duas curuas, vel curuam & rectam, adeout vni
<
lb
/>
cam lineam efforment, nullumque angulum; nempe cum ſic
<
lb
/>
inuicem iungamus, vt tangentes ad punctum connexus, vnam
<
lb
/>
tantùm rectam efficiant.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000441
">
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Corollarium II.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000442
">
<
emph
type
="
italics
"/>
Sed & illud patet, quibus angulis inflectantur lineæ inui
<
lb
/>
cem compoſitæ, ſi ad punctum inflexionis angulum tangen
<
lb
/>
tium obſeruauerimus, ſunt enim interſe æquales, licèt diuer
<
lb
/>
ſa ſpeciei, cum vnus ſit curuilineus, & rectilineus alter.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>