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Superposition: on Cavalieri’s practice of mathematics
| Content Provider | Semantic Scholar |
|---|---|
| Author | Palmieri, Paolo |
| Copyright Year | 2009 |
| Abstract | Bonaventura Cavalieri has been the subject of numerous scholarly publications. Recent students of Cavalieri have placed his geometry of indivisibles in the context of early modern mathematics, emphasizing the role of new geometrical objects, such as, for example, linear and plane indivisibles. In this paper, I will complement this recent trend by focusing on how Cavalieri manipulates geometrical objects. In particular, I will investigate one fundamental activity, namely, superposition of geometrical objects. In Cavalieri’s practice, superposition is a means of both manipulating geometrical objects and drawing inferences. Finally, I will suggest that an integrated approach, namely, one which strives to understand both objects and activities, can illuminate the history of mathematics. |
| Starting Page | 471 |
| Ending Page | 495 |
| Page Count | 25 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00407-008-0032-z |
| Alternate Webpage(s) | http://www.pitt.edu/~pap7/Superposition%20on%20Cavalieris%20practice%20of%20mathematics.pdf |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s00407-008-0032-z |
| Alternate Webpage(s) | https://doi.org/10.1007/s00407-008-0032-z |
| Volume Number | 63 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
