Heron Alexandrinus, Pneumatica, 1899

List of thumbnails

< >
11
11 		12
12
13
13 		14
14
15
15 		16
16
17
17 		18
18
19
19 		20
20
< >
page |< < of 167 > >|
    <archimedes>
      <text>
        <body>
          <chap n="1">
            <p n="1">
              <s id="id.000075">
                <pb pagenum="32"/>
              </s>
            </p>
            <p n="2">
              <s id="id.000076">Τὴν μὲν οὖν εἰρημένην ἐπὶ τοῦ σίφωνος αἰτίαν
                <lb n="2,1"/>
              τινὲς ἀποδεδώκασι λέγοντες, διότι τὸ μεῖζον σκέλος
                <lb n="2,2"/>
              πλέον ὕδωρ ἔχον ἐπισπᾶται τὸ ἔλαττον. </s>
              <s id="id.000077">ὅτι δὲ ψευδής
                <lb n="2,3"/>
              ἐστιν ἡ τοιαύτη αἰτία καὶ ὁ ταύτῃ πιστεύσας μεγάλως
                <lb n="2,4"/>
              [2ἂν]2 ἀγνοήσειεν ἐπιχειρήσας ἀπὸ ταπεινοῦ ὕδωρ ἀγα­
                <lb n="2,5"/>
              γεῖν, οὕτως ἀποδείξομεν· γεγονέτω γὰρ σίφων ἔχων
                <lb n="2,6"/>
              τὸ ἐντὸς σκέλος μακρότερόν τε καὶ στενόν, τὸ δὲ ἐκτὸς
                <lb n="2,7"/>
              εὐρύτερόν τε καὶ ἔλαττον πολλῷ κατὰ μῆκος, ὥστε δέ­
                <lb n="2,8"/>
              χεσθαι πλέον ὕδωρ αὐτὸ τοῦ μακροτέρου σκέλους. </s>
              <s id="id.000078">καὶ
                <lb n="2,9"/>
              οὕτως πεπληρώσθω ὕδατος· τὸ δὲ μεῖζον αὐτοῦ σκέλος
                <lb n="2,10"/>
              ἐμβεβλήσθω εἰς ὕδατος ἀγγεῖον ἢ καὶ εἴς τι φρέαρ.
                <lb n="2,11"/>
              </s>
              <s id="id.000079">οὐκοῦν ἐὰν ἀφῶμεν ῥεῖν τὸ ἐκτὸς σκέλος, πλέον ὕδωρ
                <lb n="2,12"/>
              ἔχον τοῦ ἐντὸς ἐπισπάσεται τὸ ἐκ τοῦ μείζονος, ὃ δὴ
                <lb n="2,13"/>
              καὶ συνεπισπάσεται τὸ ἐν τῷ φρέατι· καὶ ἀρξάμενον
                <lb n="2,14"/>
              ῥέειν πᾶν κενώσει ἢ ἀεὶ ῥεύσει, ἐπειδήπερ τὸ ἐκτὸς
                <lb n="2,15"/>
              ὑγρὸν πλεῖόν ἐστι τοῦ ἐν τῷ ἐντὸς σκέλει. </s>
              <s id="id.000080">ἀλλ' οὐ
                <lb n="2,16"/>
              φαίνεται τοῦτο γινόμενον· οὐκ ἄρα ἀληθής ἐστιν ἡ
                <lb n="2,17"/>
              εἰρημένη αἰτία. </s>
              <s id="id.000081">ἴδωμεν δὴ τὴν κατὰ φύσιν αἰτίαν.
                <lb n="2,18"/>
              </s>
              <s id="id.000082">ἐπειδὴ γὰρ πᾶν συνεχὲς ὑγρὸν ἠρεμῆσαν σφαιρικὴν </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum