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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. "
Easy Introduction to Mathematics - Σελίδα 277
των Charles Butler - 1814
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...F. II. Two magnitudes are faid to be reciprocally proportional to two others, when one of the firft is to one of the other magnitudes, as the remaining one of the laft two is to the remaining one of the firft. But the 5. Definition, which fince Theon's time has...

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...Def. 23. Two Magnitudes are faid to; be reciprocally proportional to two others, when one of the firft is to one of the other Magnitudes, as the remaining one of the laft two is to the remaining one of the firft. 176. Def. 24. A Line is faid to be cut in extreme and...

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...DBF. II. Two magnitudes are faid to be reciprocally proportional to two others, when one of the firfl is to one of the other magnitudes, as the remaining one of the laft two is to the remaining one of the firfl. But the 5th definition, which, fince Theon's time, has...

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...Two magnitudes are faid to be reciprocally proportional to two gee N others, when one of the firft is to one of the other magnitudes, as the remaining one of the laft two is to the remaining one of the firft. III. A ftraight line is faid to be cut in extreme and...

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...DEF. II. Two magnitudes are faid to be reciprocally proportional to two others, when one of the firft is to one of the other magnitudes, as the remaining one of the laft two is to the remaining one of the firft. But the 5. Definition, which fince Theon's time has...

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...more distinct : it would be better to put the following definition in place of it, viz. s DEF. II. Two magnitudes are said to be reciprocally proportional...the last two is to the remaining one of the first. But the 5th definition, which since Theon's time, has beea kept in the Elements, to the great detriment...

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...it more distinct : it would be better to put the following definition in place of it, viz. DEF. II. Two magnitudes are said to be reciprocally proportional...others, when one of the first is to one of the other magni. tudes, as the remaining one of the last two is to the remaining one of the first. , But the...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...it more distinct: it would be better to put the following definition in place of it, viz. : DEF. II. Two magnitudes are said to be reciprocally proportional...the last two is to the remaining one of the first. But the 5th definition, which, since Theon's time, has been kept in the Elements, to the great detriment...

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...more distinct : it would be better to put the following definition in place of it, viz. DBF. II. — Two magnitudes are said to be reciprocally proportional to two others, when one of the Jirsl is to one of the other magnitudes as the remaining one of the last two is to the remaining one...

The Elements of Euclid: viz. the first six books, together with the eleventh ...

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...following definition in place of it, viz. DEF. II. Two magnitudes are said to be reciprocally proportioned to two others, when one of the first is to one of...the last two is to the remaining one of the first. But the fifth definition, which, since Theon's time, has been kept in the Elements to the great detriment...




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