But the rectangle BE, EF is BD, for EF is equal to ED;
which can be described on EH. Therefore a square, namely that which can be described on EH, has been constructed equal to the given rectilineal figure A. Q. E. F. 1 2
But the rectangle BE, EF is BD, for EF is equal to ED;
which can be described on EH. Therefore a square, namely that which can be described on EH, has been constructed equal to the given rectilineal figure A. Q. E. F. 1 2
1 that which was enjoined will have been done, literally “would have been done,” γεγονὸς ἂν εἴη τὸ ἐπιταχθέν.
2 which can be described, expressed by the future passive participle, ἀναγραφησομἑνῳ, ἀναγραφησόμενον.
Euclid. Euclid's Elements. Sir Thomas Little Heath. New York. Dover. 1956.
The National Science Foundation provided support for entering this text.
Purchase a copy of this text (not necessarily the same edition) from Amazon.com
This work is licensed under a
Creative Commons Attribution-ShareAlike 3.0 United States License.
An XML version of this text is available for download, with the additional restriction that you offer Perseus any modifications you make. Perseus provides credit for all accepted changes, storing new additions in a versioning system.