gre I,47Ἀναγεγράφθω γὰρ ἀπὸ μὲν τῆς ΒΓ τετράγωνον τὸ ΒΔΕΓ, ἀπὸ δὲ τῶν ΒΑ, ΑΓ τὰ ΗΒ, ΘΓ,
engFor let there be described on BC the square BDEC, and on BA, AC the squares GB, HC; [I. 46]
lat SicDescribatur enim a recta quidem BG tetragonum BDEG, a rectis vero BA et AG tetragona IB et TG.
lat GerardProbatio huius: Describam itaque ex latere BG quadratum BDEG et ex lateribus BA; AG quadrata BHZA; GATK,
lat AdelardRationis causa: Fiat enim supra lineam BG superficies quadrata supra quam BGDH. Itemque supra duas lineas BA et AG due superficies quadrate supra unam quarum AZHB atque supra aliam ATKG.
lat HermannFiat itaque super lineam BG huiusmodi quadrata superficies BGDE eademque racione supra lineam BA et GA duo alia quadrata hinc ABZH, ex altera parte AGKT;
ara Nairizi p. 172برهانه انا نعمل على خط (ب ج) سطحا مربعا قائم الزوايا كما بينا عمله ببرهان (مه) وليكن مربع (ب ج د ه) ونعمل ايضا على خطى (ا ب) (ا ج) مربعى (ا ب ز ح) (ا ط ك ج) قائمى الزوايا
san 61,6-9(6) atropapattiḥ | (7) tribhir bhujaiḥ samakoṇaṃ samacaturbhujaṃ caturbhujatrayaṃ kāryam | kāni (8) tāni caturbhujāni ekaṃ badahajaṃ dvitīyaṃ bava(9)jhaaṃ tṛtīyaṃ atakajam |
1. Unlike Euclid, who constructs these squares in the Kataskeue (construction) of the proposition, Clavius includes the construction of these squares in the Ekthesis (setting out) of the proposition, thus implying that these squares are a necessity for the understanding of the Diorismos (definition of goal) since the Diorismos depends on the existence of the squares.
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Title
Book I
