Pappus Alexandrinus
,
Mathematical Collection, Book 8
,
1876
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[Figure 11]
Page: 31
[Figure 12]
Page: 32
[Figure 13]
Page: 34
[Figure 14]
Page: 35
[Figure 15]
Page: 36
[Figure 16]
Page: 37
[Figure 17]
Page: 41
[Figure 18]
Page: 48
[Figure 19]
Page: 51
[Figure 20]
Page: 52
[Figure 21]
Page: 53
[Figure 22]
Page: 54
[Figure 23]
Page: 55
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περὶ διάμετρον τὴν ΚΛ, καὶ προσκείσθω ἡ ΛΜ ἴση τῇ
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ΑΘ, καὶ τῇ ὑπὸ ΑΘΔ γωνίᾳ ἴση συνεστάτω ἡ ὑπὸ ΚΜΝ,
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καὶ ἀπὸ τῶν Κ Λ κά-
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θετοι αἱ ΛΟ ΚΝ, καὶ
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ἀπὸ τοῦ κέντρου ἡ ΣΠ,
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καὶ τῇ μὲν ΛΡ περι-
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φερείᾳ ἴση ἀπειλήφθω
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ἡ ΑΒ, τῇ δὲ ΟΠ εὐ-
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θείᾳ ἴση ἡ ΔΖ [τὸ δὲ
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αὐτὸ ἦν λέγειν δίχα ἡ
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ΔΗ τῷ Ζ]. </
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τὸ μὲν Ζ σημεῖον, ἐφ'
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ὃ ἡ σφαῖρα καταφερο-
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μένη πεσεῖται, τὸ δὲ Β τὸ ἐπὶ τῆς ἐπιφανείας, ἡ δὲ ἐλα-
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χίστη κάθετος ἡ ΒΖ.
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<
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πρὸς τὸ ὑποκείμενον, καὶ εἰλήφθω ἡ κοινὴ τῶν ἐπιπέδων
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τομὴ ἡ ΔΘ, καὶ εἰλήφθω ἐπὶ τοῦ ΑΒΓ κύκλου σημεῖα τὰ
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Α Γ κατὰ διάμετρον ἀλλήλοις κείμενα οὕτως ὥστε τὴν ἐπ'
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αὐτὰ ἐπιζευγνυμένην τὴν ΓΑ συμπίπτειν τῇ κοινῇ τομῇ τῇ
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ΔΘ [ἔστιν γὰρ ἐπ' ἐμοὶ διὰ τὸ τὴν ΔΘ ἐν τῷ τοῦ ΑΒΓ
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κύκλου ἐπιπέδῳ εἶναι]. </
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ἄρα ἡ ΑΘ καὶ ἡ Θ γωνία. </
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θετος ἐπὶ τὴν ΔΘ ἡ ΕΒΔ. </
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