 Introduction to Arithmetic by Nicomachus (Hahn teacher edition)

By Nicomachus; translated by Martin Luther D'Ooge in 1926, and revised for classroom use by Nathanael Hahn in 2025. The editor's note distinguishes the translated text from added headings, introductions, footnotes, images and exercises. Our citations refer to the translated mathematical passages.

Online text: stoicheiamath.com/wp-content/uploads/2025/09/Nicomachus-Introduction-to-Arithmetic-Teacher-Edition.pdf

Cited passages: Book II, Chapter 8, printed pp. 63–64 (PDF pages 68–69), describes triangular rows; Chapter 12, §§1–2, printed p. 70 (PDF page 75), combines consecutive triangular counts into squares; Chapter 20, §5, printed p. 75 (PDF page 80), groups consecutive odd integers into cubes. Publication and contributor credits appear on PDF page 2; notes distinguishing editorial additions appear on PDF page 3.

Additional cited passages: Book II, Chapter 23, §§1 and 3, printed p. 80 (PDF p. 85). The citation concerns translated mathematical paragraphs; the classroom editor’s introductions, footnotes and exercises are not used.