Harriot, Thomas - Mss. 6784

823412

[Commentary:

The continuation of Add MS f. . ]

Casus 3a
[Translation: Case ]
Sint tres inæquales
[Translation: Let there be three unequal ]
magnitudo facta.

b b b - 3, b b c

[Translation: the size of the product is

b b b - 3 b b c

Tres æquales
[Translation: Three equal ]
magnitudo facta
quæ cubus.

b b b - 3, b b c + 3, b c c - c c c > b b b + 3, b b c

[Translation: the size of the product which is a cube is

b b b - 3 b b c + 3 b c c - c c c > b b b - 3 b b c

Casus 4a
[Translation: Case ]
Sint tres inæquales
[Translation: Let there be three unequal ]
magnitudo facta.

b b b + 3, b b d - 9, b c c - 9, b d c

[Translation: the size of the product is

b b b + 3 b b d - 9 b c c - 9 b d c

Tres æquales
[Translation: Three equal ]
magnitudo facta
quæ cubus.

b b b + 3, b b d + 3, b d d + d d d > b b b + 3, b b d - 9, b c c - 9, b d c

[Translation: the size of the product which is a cube is

b b b + 3 b b d + 3 b d d + d d > b b b + 3 b b d - 9 b c c - 9 b d c

Casus 5a.
et
[Translation: Case 5, and ]
Sint tres inæquales
[Translation: Let there be three unequal ]
magnitudo facta.

b b b - 3, b b d - 9, b c c + 9, b c d

[Translation: the size of the product is

b b b - 3 b b d - 9 b c c + 9 b c d

Tres æquales
[Translation: Three equal ]
magnitudo facta
quæ cubus.

b b b - 3, b b d + 3, b d d - d d d > b b b - 3, b b d - 9, b c c + 9, b c d

[Translation: the size of the product which is a cube is

b b b - 3 b b d + 3 b d d - d d d > b b b - 3 b b d - 9 b c c + 9 b c d

nam:

3, b d d + 9, b c c > d d d + 9 b c d .

[Translation: for:

3 b d d + 9 b c c > d d d + 9 b c d