Page:The Whetstone of Witte.djvu/28
| Sesquiquarta. | 5. to. 4: 10. to. 8: 15. to. 12. | 11⁄4 | A quarter more. |
| Sesquiquinta. | 6. to. 5: 12. to. 10: 18. to. 15. | 11⁄5 | a fifte more. |
| Sesquisexta. | 7. to. 6: 4. to. 12. 21: to. 18. | 11⁄6 | a sixte more. |
| Sesquiseptima. | 8. to. 7: 16. to. 14: 24. to. 21. | 11⁄7 | a seuenth more. |
| Sesquioctava. | 9. to. 8: 18. to. 16: 27. to.24. | 11⁄8 | an eight more. |
| Sesquinona. | 10. to. 9: 20. to. 18: 30. to. 27. | 11⁄9 | a nineth more. |
| Sesquidecima. | 11. to. 10: 22. to. 20: 33. to. 30. | 11⁄10 | a tenth more. |
| Sesquiundecima. | 12. to. 11: 24. to. 22: 36. to. 33. | 11⁄11 | a leuenth more. |
| Sesquiduodecima. | 13. to. 12: 26. to. 24: 39. to. 36. | 11⁄12 | a twelueth more |
And so as farre as you liste to procede in suche proportion: where one parte of the lesser, is the iuste difference and excesse, betwene it and the greater.
Superpartiēs But if the difference be. 2. partes. 3. partes, or more partes: the proportiō is named superpartiente. As. 5. to 3. And. 10. to. 6. For as. 5. containeth. 3. and. 2⁄3. of it: so 10. holdeth. 6.and. {frac|2|3}} of it.
Scholar. Now I perceiue some vse also, of the distinction betwene a parte and partes in nomber: Of whiche at the beginnyng you did speake. But how many kindes are there of this sorte?
Master. There are infinite kindes in this sorte of proporcion, as well as in the other. But for examples sake, I will set furthe some of the moste common nombers: that therby you maie gather the formes of the reste. And these be thei, with their names.
| Superbipartiens. | Tertias. | 5.to.3: 10. to. 6: 15. to. 9: 20. to. 12. | 2⁄3 |
| Quintas. | 7 to 5: 14. to 10: 21. to 15: 28. to. 20 | 2⁄5 | |
| Septimas. | 9 to 7: 18 to 14: 27. to. 21: 36. to 28. | 2⁄7 | |
| Nonas. | 11 to 9: 22 to 18: 33.to 27: 44. to 36 | 2⁄9 | |
| vndecimas. | 13. to 11: 26 to 22: 39 to 33: 52 to 44 | 2⁄11 |
