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Aristotle · Mechanics §28.1-28.2

Why a Counterweight Is Attached to a Swipe

Passage 31 of 38 · Greek

Summary

Explains the reason for adding a weight of lead or stone to a swipe, which is to significantly reduce the effort of drawing up a full bucket of water at the cost of making it slightly harder to let the empty bucket down.

§28.1Διὰ τί ἐπὶ τοῖς φρέασι τὰκηλώνεια ποιοῦσι τοῦτον τὸν τρόπον;
Why do they construct swipes for wells in this manner?
προστιθέασι γὰρ βάρος ἐν τῷ ξύλῳ τὸν μόλιβδον, ὄντος βάρους τοῦ κάδου αὐτοῦ, καὶ κενοῦ καὶ πλήρους ὄντος.
For they add a weight, namely lead, to the wood, even though there is already the weight of the bucket itself, both when it is empty and when it is full.
Ἥ ὅτι ἐν δυσὶ χρόνοις διῃρημένου τοῦ ἔργου (βάψαι γὰρ δεῖ, καὶ τοῦτ’ ἄνω ἑλκύσαι) συμβαίνει καθιέναι μὲν κενὸν ῥᾳδίως, αἴρειν δὲ πλήρη χαλεπῶς;
Or is it because, since the task is divided into two times (for it is necessary to dip it, and then to drag it up), it happens that letting it down empty is easy, but raising it full is difficult?
§28.2Λυσιτελεῖ οὖν μικρῷ βραδύτερον εἶναι τὸ καταγαγεῖν πρὸς τὸ πολὺ κουφίσαι τὸ βάρος ἀνάγοντι.
It is therefore advantageous that letting it down should be slightly slower, in comparison with greatly lightening the weight for the one who draws it up.
Τοῦτο οὖν ποιεῖ ἐπ’ ἄκρῳτῷ κηλωνείῳ ὁ μόλιβδος προσκείμενος ἢὁ λίθος.
This, then, is what the lead or stone attached to the end of the swipe accomplishes.
Καθιμῶντι μὲν γὰρ γίνεται βάρος μεῖζονἢ εἰ μόνον κενὸν δεῖ κατάγειντὸν κάδον· ὅταν δὲ πλήρης ᾖ, ἀνάγει ὁ μόλβδος, ἢ ὅ τι ἄν ᾖ τὸ προσκείμενον βάρος.
For to the one letting it down, there is indeed a greater weight than if it were necessary to let down only the empty bucket; but when it is full, the lead, or whatever the attached weight may be, helps to draw it up.
Ὤστ’ ἐστὶ ῥᾷον αὐτῷ τὰ ἄμφωἢ ἐκείνῳ.
Thus, both actions together are easier for him than for that other person.

Notes

  1. 857bὄντος βάρους τοῦ κάδου αὐτοῦ, καὶ κενοῦ καὶ πλήρους ὄντος — Two genitive absolute constructions (or a participle phrase agreeing with the noun) are placed side by side. Following 'ὄντος βάρους τοῦ κάδου αὐτοῦ' (although there is the weight of the bucket itself), 'καὶ κενοῦ καὶ πλήρους ὄντος' (whether it is empty or full) describes the state of the bucket, understood concessively.
  2. 857bπρὸς τὸ πολὺ κουφίσαι τὸ βάρος ἀνάγοντι — The preposition 'πρός' with the articular infinitive ('πρὸς τὸ ... κουφίσαι') expresses comparison or trade-off ('in comparison with greatly lightening the weight') against the preceding 'τὸ καταγαγεῖν' (letting it down). 'ἀνάγοντι' is the dative singular of the present participle, acting as a dative of interest ('for the one drawing it up').
  3. 857bὬστ’ ἐστὶ ῥᾷον αὐτῷ τὰ ἄμφω ἢ ἐκείνῳ — A comparison using the comparative 'ῥᾷον' (easier). The demonstrative pronoun 'αὐτῷ' refers to the person using the weighted swipe, whereas 'ἐκείνῳ' after 'ἤ' refers to the person using an unweighted one. 'τὰ ἄμφω' refers to both actions (letting down and drawing up).

Cite this passage

Aristotle, Mechanics §28.1-28.2. Humanitext Reader, https://reader.humanitext.ai/en/text/urn:cts:greekLit:tlg0086.tlg023.humanitext-grc1:28.1-28.2

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