§5.7#1Ἔπειτ᾿ ἐκ τῶν πτώσεων, ἀνασκευάζοντα μὲν εἰ ἡ πτῶσις τῆς πτώσεως μή ἐστιν ἴδιον· οὐδὲ γὰρ ἡ πτῶσις τῆς πτώσεως ἔσται ἴδιον.
Next, from inflections. For refuting, if the inflection is not the property of the inflection; for neither will the inflection be the property of the inflection.
Οἷον ἐπεὶ οὐκ ἔστι τοῦ δικαίως ἴδιον τὸ καλῶς, οὐδ᾿ ἂν τοῦ δικαίου εἴη ἴδιον τὸ καλόν.
For instance, since 'beautifully' is not the property of 'justly', neither would 'beautiful' be the property of 'just'.
Κατασκευάζοντα δὲ εἰ ἡ πτῶσις τῆς πτώσεώς ἐστιν ἴδιον· καὶ γὰρ ἡ πτῶσις τῆς πτώσεως ἔσται ἴδιον.
And for establishing, if the inflection is the property of the inflection; for the inflection will also be the property of the inflection.
Οἷον ἐπεὶ τοῦ ἀνθρώπου ἐστὶν ἴδιον τὸ πεζὸν δίπουν, καὶ τῷ ἀνθρώπῳ εἴη ἂν ἴδιον τὸ πεζῷ δίποδι λέγεσθαι.
For instance, since 'pedestrian biped' is the property of 'man', 'to be said to be a pedestrian biped' would be the property of 'man' [in the dative].
Οὐ μόνον δ᾿ ἐπ᾿ αὐτοῦ τοῦ εἰρημένου κατὰ τὰς πτώσεις ἐστὶ σκεπτέον, ἀλλὰ καὶ ἐπὶ τῶν ἀντικειμένων, καθάπερ καὶ ἐπὶ τῶν πρότερον τόπων εἴρηται, ἀνασκευάζοντα μὲν εἰ ἡ τοῦ ἀντικειμένου πτῶσις μή ἐστιν ἴδιον τῆς τοῦ ἀντικειμένου πτώσεως· οὐδὲ γὰρ ἡ τοῦ ἀντικειμένου πτῶσις ἔσται ἴδιον τῆς τοῦ ἀντικειμένου πτώσεως.
And one must consider this not only in the case of the inflections just mentioned, but also in the case of their opposites, just as was said in the case of the previous topics; for refuting, if the inflection of the opposite is not the property of the inflection of the opposite; for neither will the inflection of the opposite be the property of the inflection of the opposite.
Οἷον ἐπεὶ οὐκ ἔστι τοῦ δικαίως ἴδιον τὸ ἀγαθῶς, οὐδ᾿ ἂν τοῦ ἀδίκως εἴη ἴδιον τὸ κακῶς.
For instance, since 'well' is not the property of 'justly', neither would 'badly' be the property of 'unjustly'.
Κατασκευάζοντα δὲ εἰ ἡ τοῦ ἀντικειμένου πτῶσίς ἐστιν ἴδιον τῆς τοῦ ἀντικειμένου πτώσεως· καὶ γὰρ ἡ τοῦ ἀντικειμένου πτῶσις ἔσται ἴδιον τῆς τοῦ ἀντικειμένου πτώσεως.
And for establishing, if the inflection of the opposite is the property of the inflection of the opposite; for the inflection of the opposite will also be the property of the inflection of the opposite.
Οἷον ἐπεὶ τοῦ ἀγαθοῦ ἐστὶν ἴδιον τὸ βέλτιστον, καὶ τοῦ κακοῦ ἂν εἴη ἴδιον τὸ χείριστον.
For instance, since 'the best' is the property of 'the good', 'the worst' would be the property of 'the bad'.
Ἔπειτ᾿ ἐκ τῶν ὁμοίως ἐχόντων, ἀνασκευάζοντα μὲν εἰ τὸ ὁμοίως ἔχον τοῦ ὁμοίως ἔχοντος μή ἐστιν ἴδιον· οὐδὲ γὰρ τὸ ὁμοίως ἔχον τοῦ ὁμοίως ἔχοντος ἔσται ἴδιον.
Next, from things which are similarly related. For refuting, if that which is similarly related is not the property of that which is similarly related; for neither will that which is similarly related be the property of that which is similarly related.
Οἷον ἐπεὶ ὁμοίως ἔχει ὁ οἰκοδόμος πρὸς τὸ ποιεῖν οἰκίαν καὶ ὁ ἰατρὸς πρὸς τὸ ποιεῖν ὑγίειαν, οὐκ ἔστι δὲ ἰατροῦ ἴδιον τὸ ποιεῖν ὑγίειαν, οὐκ ἂν εἴη οἰκοδόμου ἴδιον τὸ ποιεῖν οἰκίαν.
For instance, since the builder is similarly related to building a house as the physician is to producing health, but to produce health is not the property of the physician, neither would to build a house be the property of the builder.
Κατασκευάζοντα δὲ εἰ τὸ ὁμοίως ἔχον τοῦ ὁμοίως ἔχοντός ἐστιν ἴδιον· καὶ γὰρ τὸ ὁμοίως ἔχον τοῦ ὁμοίως ἔχοντος ἔσται ἴδιον.
And for establishing, if that which is similarly related is the property of that which is similarly related; for that which is similarly related will also be the property of the similarly related.
Οἷον ἐπεὶ ὁμοίως ἔχει ἰατρός τε πρὸς τὸ ποιητικὸς ὑγιείας εἶναι καὶ γυμναστὴς πρὸς τὸ ποιητικὸς εὐεξίας, ἔστι δ᾿ ἴδιον γυμναστοῦ τὸ ποιητικὸν εἶναι εὐεξίας, εἴη ἂν ἴδιον ἰατροῦ τὸ ποιητικὸν εἶναι ὑγιείας.
For instance, since the physician is similarly related to being productive of health as the trainer is to being productive of good condition, and it is the property of the trainer to be productive of good condition, it would be the property of the physician to be productive of health.
Ἔπειτ᾿ ἐκ τῶν ὡσαύτως ἐχόντων, ἀνασκευάζοντα μὲν εἰ τὸ ὡσαύτως ἔχον τοῦ ὡσαύτως ἔχοντος μή ἐστιν ἴδιον· οὐδὲ γὰρ τὸ ὡσαύτως ἔχον τοῦ ὡσαύτως ἔχοντος ἔσται ἴδιον.
Next, from things which are related in the same way. For refuting, if that which is related in the same way is not the property of that which is related in the same way; for neither will that which is related in the same way be the property of that which is related in the same way.
Εἰ δ᾿ ἔστι τοῦ ὡσαύτως ἔχοντος τὸ ὡσαύτως ἔχον ἴδιον, τούτου οὐκ ἔσται ἴδιον οὗ κεῖται εἶναι ἴδιον.
And if that which is related in the same way is the property of that which is related in the same way, it will not be the property of this, of which it is established to be the property.
Οἷον ἐπεὶ ὡσαύτως ἔχει φρόνησις πρὸς τὸ καλὸν καὶ τὸ αἰσχρὸν τῷ ἐπιστήμη ἑκατέρου
For instance, since wisdom is related in the same way to the beautiful and the ugly by being the knowledge of each,