 | Euclid - 452 σελίδες
...interpolated from Heron, who has it. Simson proposes in his note to substitute the following definition. "Two magnitudes are said to be reciprocally proportional...the last two is to the remaining one of the first." This- definition requires that the magnitudes shall be all of the same kind. DEFINITION 3. 'Aiepov... | |
 | 238 σελίδες
...other man's good and vice versa. The term "proportionate reciprocity" has been defined by Euclid thus: "Two magnitudes are said to be reciprocally proportional...one of the last two is to the remaining one of the first."33 This definition, as Heath has remarked, requires that the magnitudes shall be all of the... | |
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II. Two magnitudes are said to be reciprocally proportional to two others, when one of the first is to one of the other magnitudes as the remaining one of the last two is to the remaining one of the first. 
