913457
[Commentary:
Powers of up to . Each power is calculated from the previous one by multiplication.
Note the use of cossist for a first power, for a square, for a cube, for a square-suare or fourth power, for a sursolid or fifth power.
Below the main table is a list of the final sums, including the sixth power (), which has not been calculated on this page but which can be deduced from the pattern for the previous cases.
For a similar table see Add MS f. .
This table underpins the method of root extraction taught by Francois Viete in De numerosa potestatum resolutione (1600). ]
Note the use of cossist for a first power, for a square, for a cube, for a square-suare or fourth power, for a sursolid or fifth power.
Below the main table is a list of the final sums, including the sixth power (), which has not been calculated on this page but which can be deduced from the pattern for the previous cases.
For a similar table see Add MS f. .
This table underpins the method of root extraction taught by Francois Viete in De numerosa potestatum resolutione (1600). ]
species figuratorum
ex binomia
[Translation: terms of figurate numbers from binomial ]
ex binomia
[Translation: terms of figurate numbers from binomial ]
(sunt canones pro
extractione
[Translation: (these are the canons for the extraction of ]
extractione
[Translation: (these are the canons for the extraction of ]
(Demptis numeris sunt species
continue proportionalium,
in minimis terminis
ut , ad
[Translation: (Without the numbers, the terms are in continual proportion, in the ratio expressed in lowest terms as to ).
continue proportionalium,
in minimis terminis
ut , ad
[Translation: (Without the numbers, the terms are in continual proportion, in the ratio expressed in lowest terms as to ).