Chapter VI. On the third Type of Proportion.

The same [proportion] outside of radical terms This table demonstrates the "golden rule of reduction" mentioned on the previous page. Here, the numbers 18 and 14, and 27 and 21, are reduced to their simplest form: 9 and 7..

---

The proportion superbipartiens ninths superbipartiens ninths: A ratio of 11:9, where the larger number contains the smaller once, plus two-ninths (2/9) more. within radical terms.

The same species outside of radical terms.

The proportion superbipartiens elevenths superbipartiens elevenths: A ratio of 13:11, where the larger number contains the smaller once, plus two-elevenths (2/11) more. consisting of radical terms.

The same proportion outside of radical terms.

Let these suffice regarding the superbipartiens proportion; let us proceed to the supertripartiens proportion original: supertripartientem; literally "over-three-parting." This describes a ratio where the larger number contains the smaller once, plus three fractional parts of the smaller (e.g., 7:4, which is 1 and 3/4)..

The proportion supertripartiens fourths supertripartiens fourths: A ratio of 7:4, where the larger number contains the smaller once, plus three-fourths (3/4) more. consisting of radical terms.

The same species outside of radical terms.

The proportion supertripartiens fifths supertripartiens fifths: A ratio of 8:5, where the larger number contains the smaller once, plus three-fifths (3/5) more. within radicals.

The same proportion outside of radical terms.

The proportion supertripartiens sevenths supertripartiens sevenths: A ratio of 10:7, where the larger number contains the smaller once, plus three-sevenths (3/7) more. in radical terms.

The same proportion outside of radical terms.