§12.21.1τὸ δὲ δὴ πάντων μέγιστον· ἤδη γὰρ σύνεγγυς ὄντα τοῖς πολεμίοις αὐτὸν εἰς ὀκτὼ ποιῆσαί φησι τὸ βάθος.
And indeed the greatest thing of all: for he says that when he was already close to the enemy, he made the depth eight deep.
§12.21.2ἐξ οὗ δῆλον ὅτι κατʼ ἀνάγκην ἐπὶ τετταράκοντα σταδίους ἔδει γενέσθαι τὸ μῆκος τῆς φάλαγγος.
From which it is clear that of necessity the length of the phalanx must have become forty stades.
§12.21.3εἰ δʼ ὅλως συνήσπισαν κατὰ τὸν ποιητὴν οὕτως ὥστε συνερεῖσαι πρὸς ἀλλήλους, ὅμως εἴκοσι σταδίων ἔδει τὸν τόπον ὑπάρχειν.
But even if they locked shields completely, in the words of the poet, so as to press against one another, still the space must have been twenty stades.
§12.21.4αὐτὸς δέ φησι λείπειν τῶν δεκατεττάρων σταδίων
But he himself says that it fell short of fourteen stades.
§12.21.5καὶ τούτου μέρος μέν τι πρὸς θαλάττῃ τοὺς ἡμίσεας ἐπὶ τοῦ δεξιοῦ· ἔτι δὲ τὴν ὅλην τάξιν ἀπὸ τῶν ὀρῶν ἱκανὸν τόπον ἀφεστάναι πρὸς τὸ μὴ τοῖς πολεμίοις ὑποπεπτωκέναι τοῖς κατέχουσι τὰς παρωρείας.
And of this space, some part by the sea was occupied by the half of the cavalry on the right; and further, that the whole line was drawn up at a considerable distance from the mountains, so as not to be exposed to the enemy who occupied the foothills.
§12.21.6ἴσμεν γὰρ ὃ ποιεῖ πρὸς τούτους ἐπικάμπιον.
For we know what defensive flank he made against them.
Ὑπολειπόμεθα καὶ νῦν ἡμεῖς τοὺς μυρίους πεζούς, πλείους ὄντας τῆς ἐκείνου προθέσεως.
And now we ourselves leave out of account the ten thousand infantry, though they are more than his own estimate.
§12.21.7ὥστʼ ἐκ τούτων ἕνδεκα σταδίους ἐπὶ τὸ πλεῖον ἀπολείπεσθαι τὸ τῆς φάλαγγος μῆκος κατʼ αὐτὸν τὸν Καλλισθένην, ἐν οἷς ἀνάγκη τοὺς τρισμυρίους καὶ δισχιλίους ἐπὶ τριάκοντα τὸ βάθος ὑπάρχειν συνησπικότας.
So that from this, the length of the phalanx, according to Callisthenes himself, was at most eleven stades, in which it is necessary that the thirty-two thousand should be thirty deep, even when shields are locked.
§12.21.8ὁ δέ φησιν εἰς ὀκτὼ τεταγμένων γενέσθαι τὴν μάχην.
But he says that the battle was fought with them drawn up eight deep.
§12.21.9τὰ δὲ τοιαῦτα τῶν ἁμαρτημάτων οὐδʼ ἀπολογίαν ἐπιδέχεται· τὸ γὰρ ἀδύνατον ἐν πράγμασιν αὐτόθεν ἔχει τὴν πίστιν.
Errors of this kind do not even admit of defense; for the impossibility in facts has its proof immediately from itself.
§12.21.10διόπερ ὅταν καὶ τὰ κατʼ ἄνδρα διαστήματα καὶ τὸ πᾶν τοῦ τόπου μέγεθος ὡρισμένον ὑποθῶσι καὶ τὸν ἀριθμὸν τῶν ἀνδρῶν, ἀναπολόγητον γίνεται τὸ ψεῦδος.
Therefore, when they assume both the distance allowed for each man and the whole extent of the ground to be fixed, as well as the number of the men, the falsehood becomes indefensible.