Pappus Alexandrinus
,
Mathematical Collection, Book 8
,
1876
Text
Text Image
XML
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 58
>
Scan
Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
<
1 - 30
31 - 58
>
page
|<
<
of 58
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
>
<
s
id
="
id.000211
">
<
pb
n
="
1090
"/>
περὶ διάμετρον τὴν ΚΛ, καὶ προσκείσθω ἡ ΛΜ ἴση τῇ
<
lb
n
="
1
"/>
ΑΘ, καὶ τῇ ὑπὸ ΑΘΔ γωνίᾳ ἴση συνεστάτω ἡ ὑπὸ ΚΜΝ,
<
lb
n
="
2
"/>
<
figure
place
="
text
"
number
="
14
"/>
καὶ ἀπὸ τῶν Κ Λ κά-
<
lb
n
="
3
"/>
θετοι αἱ ΛΟ ΚΝ, καὶ
<
lb
n
="
4
"/>
ἀπὸ τοῦ κέντρου ἡ ΣΠ,
<
lb
n
="
5
"/>
καὶ τῇ μὲν ΛΡ περι-
<
lb
n
="
6
"/>
φερείᾳ ἴση ἀπειλήφθω
<
lb
n
="
7
"/>
ἡ ΑΒ, τῇ δὲ ΟΠ εὐ-
<
lb
n
="
8
"/>
θείᾳ ἴση ἡ ΔΖ [τὸ δὲ
<
lb
n
="
9
"/>
αὐτὸ ἦν λέγειν δίχα ἡ
<
lb
n
="
10
"/>
ΔΗ τῷ Ζ]. </
s
>
<
s
id
="
id.000212
">ἔσται οὖν
<
lb
n
="
11
"/>
τὸ μὲν Ζ σημεῖον, ἐφ'
<
lb
n
="
12
"/>
ὃ ἡ σφαῖρα καταφερο-
<
lb
n
="
13
"/>
μένη πεσεῖται, τὸ δὲ Β τὸ ἐπὶ τῆς ἐπιφανείας, ἡ δὲ ἐλα-
<
lb
n
="
14
"/>
χίστη κάθετος ἡ ΒΖ.
<
lb
n
="
15
"/>
</
s
>
</
p
>
<
p
>
<
s
id
="
id.000213
">κα#. </
s
>
<
s
id
="
id.000214
">Μὴ ἔστω δὲ ὁ ΑΒΓ κύκλος ἐν [ἑνὶ] ἐπιπέδῳ ὀρθῷ
<
lb
n
="
16
"/>
πρὸς τὸ ὑποκείμενον, καὶ εἰλήφθω ἡ κοινὴ τῶν ἐπιπέδων
<
lb
n
="
17
"/>
τομὴ ἡ ΔΘ, καὶ εἰλήφθω ἐπὶ τοῦ ΑΒΓ κύκλου σημεῖα τὰ
<
lb
n
="
18
"/>
Α Γ κατὰ διάμετρον ἀλλήλοις κείμενα οὕτως ὥστε τὴν ἐπ'
<
lb
n
="
19
"/>
αὐτὰ ἐπιζευγνυμένην τὴν ΓΑ συμπίπτειν τῇ κοινῇ τομῇ τῇ
<
lb
n
="
20
"/>
ΔΘ [ἔστιν γὰρ ἐπ' ἐμοὶ διὰ τὸ τὴν ΔΘ ἐν τῷ τοῦ ΑΒΓ
<
lb
n
="
21
"/>
κύκλου ἐπιπέδῳ εἶναι]. </
s
>
<
s
id
="
id.000215
">συμπιπτέτω κατὰ τὸ Θ· δοθεῖσα
<
lb
n
="
22
"/>
ἄρα ἡ ΑΘ καὶ ἡ Θ γωνία. </
s
>
<
s
id
="
id.000216
">ἤχθω ἀπὸ τοῦ Ε κέντρου κά-
<
lb
n
="
23
"/>
θετος ἐπὶ τὴν ΔΘ ἡ ΕΒΔ. </
s
>
<
s
id
="
id.000217
">ἀχθήσεται οὕτως· ἐκκείσθω
<
lb
n
="
24
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>