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Figures for Jay Kappraff's
The Arithmetic of Nicomachus of Gerasa
and its Applications to Systems of Proportion

| Fig. 1 | Fig. 2 | Fig. 3 | Fig. 4 | Fig. 5 | Fig. 6 | Fig. 7 | Fig. 8 | Fig. 9 | Fig. 10 |

Fig. 6. The algebraic properties of the Roman system can be made palpable by considering the equivalent geometric properties based on the interrelation of the proportions: 1, Ö2, and q. For example, if S is either removed or added to SR, this results in RR, as Figure 6a illustrates. This is equivalent to Properties 2 and 3. That 2S +RR = RR is equivalent to Property 1 (see Figure 6b). Finally, if SR is cut in half it forms two SR at a smaller scale (Figure 6c), while two SR added together form an enlarged SR (see Figure 6d) as predicted by Property 4, the doubling property of Table 8. | top of page | back to text |

Square, Roman Rectangle and Square-Root Rectangle



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