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

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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...

## The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

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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...

## The First Six Books: Together with the Eleventh and Twelfth

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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...

## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 σελίδες
...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...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...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...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...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 ...

Robert Simson - 1827 - 513 σελίδες
...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...

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

Euclides - 1834
...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 ...

Euclid, Robert Simson - 1835 - 513 σελίδες
...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...